Applied and Computational Mechanics – serie

This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method.Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates.Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics.

This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua.Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics.This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.

This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua.Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics.This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.

The use of composite materials in engineering structures continues to increase dramatically, and there have been equally significant advances in modeling for general and composite materials and structures in particular. To reflect these developments, renowned author, educator, and researcher J.N. Reddy created an enhanced second edition of his standard-setting Mechanics of Laminated Composite Plates and Shells: Theory and Analysis.This edition includes:A chapter dedicated to the theory and analysis of laminated shells Discussions addressing smart structures and functionally graded materials Reorganization of chapters that improves and clarifies presentation Additional exercises and examplesA timelessly valuable resource, this book approaches the subject primarily in terms of the finite element method. It provides incomparably full, self-contained coverage of the theories, analytical solutions, and linear and nonlinear finite element models of plate and shell laminated composite structures.

Students embarking on their studies in chemical, mechanical, aerospace, energy, and environmental engineering will face continually changing combustion problems, such as pollution control and energy efficiency, throughout their careers. Approaching these challenges requires a deep familiarity with the fundamental theory, mathematics, and physical concepts of combustion. Based on more than two decades of teaching experience, Combustion Science and Engineering lays the necessary groundwork while using an illustrative, hands-on approach.Taking a down-to-earth perspective, the book avoids heavy mathematics in the first seven chapters and in Chapter 17 (pollutants formation and destruction), but considers molecular concepts and delves into engineering details. It begins with an outline of thermodynamics; basics of thermochemistry and chemical equilibrium; descriptions of solid, liquid, and gaseous fuels; chemical kinetics and mass transfer; and applications of theory to practical systems. Beginning in chapter 8, the authors provide a detailed treatment of differential forms of conservation equations; analyses of fuel combustion including jet combustion and boundary layer problems; ignition; flame propagation; interactive and group combustion; pollutant formation and control; and turbulent combustion. In addition, this textbook includes abundant examples, illustrations, and exercises, as well as spreadsheet software in combustion available for download. This software allows students to work out the examples found in the text. Combustion Science and Engineering imparts the skills and foundational knowledge necessary for students to successfully approach and solve new problems.

The study of buckling loads, which often hinges on numerical methods, is key in designing structural elements. But the need for analytical solutions in addition to numerical methods is what drove the creation of Exact Solutions for Buckling of Structural Members. It allows readers to assess the reliability and accuracy of solutions obtained by numerical methods. The author has attempted to gather and present as many exact buckling solutions as possible in one single volume for engineers and researchers. These buckling solutions of columns, beams, arches, ring plates, and shells should serve as benchmarks for checking the validity, convergence, and accuracy of numerical methods and solutions.Catalog Copy

This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.Discussions include:ordinary differential equations classical theory of partial differential equations Laplace and Poisson equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equationsThe author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary.Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.

Composite materials are increasingly used in aerospace, underwater, and automotive structures. They provide unique advantages over their metallic counterparts, but also create complex challenges to analysts and designers. Practical Analysis of Composite Laminates presents a summary of the equations governing composite laminates and provides practical methods for analyzing most common types of composite structural elements. Experimental results for several types of structures are included, and theoretical and experimental correlations are discussed. The last chapter is devoted to practical analysis using Designing Advanced Composites (DAC), a PC-based software on the subject. This comprehensive text can be used for a graduate course in mechanical engineering, and as a valuable reference for professionals in the field.

In contrast to metals, a composite material acquires an internal structure where the imprint of its manufacturing process history is a significant part of the internal structure’s makeup and in many cases determines how the material responds to external impulses. The performance for which a composite material is designed must therefore be assessed with due consideration to the manufacturing-induced features in the material volume. Failure theories based on homogenized composites cannot deliver reliable methodologies for performance assessment. This book details approaches that depart from traditional treatments by accounting for manufacturing defects in composite materials. It discusses how manufacturing defects are produced and how they affect the performance of composite materials.Serves as the only book to bring knowledge on manufacturing and failure modeling together in a coherent manner.Guides readers on mechanisms-based modeling with a focus on defects.Treats statistical simulation of microstructure with defects aimed at physical modeling.Covers manufacturing methods for polymer matrix composites.Describes failure modes in unidirectional composites and laminates in the presence of defects.Discusses fatigue damage in the presence of defects.This book is aimed at researchers in industry and academia in aerospace engineering, mechanical engineering, and materials science and engineering. It also serves as a reference for students taking advanced courses in composite materials.

In contrast to metals, a composite material acquires an internal structure where the imprint of its manufacturing process history is a significant part of the internal structure’s makeup and in many cases determines how the material responds to external impulses. The performance for which a composite material is designed must therefore be assessed with due consideration to the manufacturing-induced features in the material volume. Failure theories based on homogenized composites cannot deliver reliable methodologies for performance assessment. This book details approaches that depart from traditional treatments by accounting for manufacturing defects in composite materials. It discusses how manufacturing defects are produced and how they affect the performance of composite materials.Serves as the only book to bring knowledge on manufacturing and failure modeling together in a coherent manner.Guides readers on mechanisms-based modeling with a focus on defects.Treats statistical simulation of microstructure with defects aimed at physical modeling.Covers manufacturing methods for polymer matrix composites.Describes failure modes in unidirectional composites and laminates in the presence of defects.Discusses fatigue damage in the presence of defects.This book is aimed at researchers in industry and academia in aerospace engineering, mechanical engineering, and materials science and engineering. It also serves as a reference for students taking advanced courses in composite materials.

This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method.Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates.Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics.

Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems. Explaining common numerical methods in an accessible yet rigorous manner, the book details the finite element method (FEM), finite volume method (FVM) and importantly, a new numerical approach, dual mesh control domain method (DMCDM).Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat transfer, solid and structural mechanics, and fluid mechanics. It highlights the strengths of FEM, with its systematic procedure and modular steps, and then goes on to explain the uses of FVM. It explains how DMCDM embodies useful parts of both FEM and FVM, particularly in its use of the control domain method and how it can provide a comprehensive computational approach. The final chapters look at ways to use different numerical methods, primarily FEM and DMCDM, to solve typical problems of bending of beams, axisymmetric circular plates, and other nonlinear problems.This book is a useful guide to numerical methods for professionals and students in all areas of engineering and engineering mathematics.

This second edition is an introductory book on the subject of Mechanics of Materials with a focus on integrating the basics of Finite Element Analysis. Mechanics of Materials: Basics and Finite Elements, Second Edition provides the basis for understanding and analyzing structural mechanics in engineering systems such as buildings, bridges, vehicles, and machines.This new edition incorporates the fundamentals of the subject into analytical methods, modeling approaches, numerical methods, experimental procedures, numerical evaluation procedures, and design techniques, with addition of finite element methods. It introduces the fundamentals and then moves on to more advanced concepts and applications. It discusses analytical methods using simple mathematics, examples, and experimental techniques, and it includes a large number of worked examples and case studies that illustrate practical and real-world usage.Mechanics of Materials: Basics an Finite Elements, Second Edition serves as both a textbook and a reference book for engineering students and practicing professionals. Numerous figures, PowerPoint lecture presentations, and a valuable solutions manual are available for instructors.

The third edition of Mechanics of Solids and Structures makes use of computational methods such as the finite element method that has revolutionized the field to solve problems while retaining all the basic principles and foundational information needed for mastering advanced engineering mechanics principles and acquiring problem-solving skills. The authors have updated the text to include the integration of numerical approaches and MATLAB® computer programs into the body of the text for carrying out analysis of truss, beam, and frame structures. The third edition also offers an update to Chapters 1 through 4 as follows. All material related to determinate trusses and cables is moved to Chapter 1, as most students most likely were introduced to these topics in a course on statics. Thus, Chapter 1 of the current edition is a review of statics. The concepts of stress and strain and associated examples were moved from Chapter 1 to Chapter 2, with additional discussion of concepts and examples. Chapter 3 in the new edition deals with stress-strain relations with applications to determinate systems, including trusses and thin-walled pressure vessels. Indeterminate trusses and associated computer implementation have been moved from Chapter 4 of the second edition to Chapter 7 of the current edition. Other indeterminate systems from old Chapter 4 have been retained in new Chapter 4. The second major change is the updating of all the computational tools from FORTRAN to MATLAB and providing interactive tools (i.e., APPs) in Chapters 7, 10, and 12 of the new edition. All computational examples from Chapters 4 and 6 on trusses and beams of the second edition are consolidated into a new chapter, Chapter 7 with numerous examples and applications of newly included TRUSS2d, BEAM, and FRAME2d APPs. Chapter 7 also introduces finite element analysis of plane frames (a new topic). The authors have also added new examples and exercise problems throughout the book that allow students to practice and apply the concepts and formulas to solve problems.

The third edition of Mechanics of Solids and Structures makes use of computational methods such as the finite element method that has revolutionized the field to solve problems while retaining all the basic principles and foundational information needed for mastering advanced engineering mechanics principles and acquiring problem-solving skills. The authors have updated the text to include the integration of numerical approaches and MATLAB® computer programs into the body of the text for carrying out analysis of truss, beam, and frame structures. The third edition also offers an update to Chapters 1 through 4 as follows. All material related to determinate trusses and cables is moved to Chapter 1, as most students most likely were introduced to these topics in a course on statics. Thus, Chapter 1 of the current edition is a review of statics. The concepts of stress and strain and associated examples were moved from Chapter 1 to Chapter 2, with additional discussion of concepts and examples. Chapter 3 in the new edition deals with stress-strain relations with applications to determinate systems, including trusses and thin-walled pressure vessels. Indeterminate trusses and associated computer implementation have been moved from Chapter 4 of the second edition to Chapter 7 of the current edition. Other indeterminate systems from old Chapter 4 have been retained in new Chapter 4. The second major change is the updating of all the computational tools from FORTRAN to MATLAB and providing interactive tools (i.e., APPs) in Chapters 7, 10, and 12 of the new edition. All computational examples from Chapters 4 and 6 on trusses and beams of the second edition are consolidated into a new chapter, Chapter 7 with numerous examples and applications of newly included TRUSS2d, BEAM, and FRAME2d APPs. Chapter 7 also introduces finite element analysis of plane frames (a new topic). The authors have also added new examples and exercise problems throughout the book that allow students to practice and apply the concepts and formulas to solve problems.

Noted for its practical, accessible approach to senior and graduate-level engineering mechanics, Plates and Shells: Theory and Analysis is a long-time bestselling text on the subjects of elasticity and stress analysis. Many new examples and applications are included to review and support key foundational concepts. Advanced methods are discussed and analyzed, accompanied by illustrations. Problems are carefully arranged from the basic to the more challenging level. Computer/numerical approaches (Finite Difference, Finite Element, MATLAB) are introduced, and MATLAB code for selected illustrative problems and a case study is included.

Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This theory shows the relationship and compatibility among several existing definitions of physical components of tensors when referred to nonorthogonal coordinates. The book assumes a basic knowledge of linear algebra and elementary calculus, but revisits these subjects and introduces the mathematical backgrounds for the theory in the first three chapters. In addition, all field equations are also given in physical components as well.Comprised of five chapters, this noteworthy text: Deals with the basic concepts of linear algebra, introducing the vector spaces and the further structures imposed on them by the notions of inner products, norms, and metricsFocuses on the main algebraic operations for vectors and tensors and also on the notions of duality, tensor products, and component representation of tensorsPresents the classical tensor calculus that functions as the advanced prerequisite for the development of subsequent chaptersProvides the theory of physical and anholonomic components of tensors by associating them to the spaces of linear transformations and of tensor products and advances two applications of this theory Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or engineers concerned with solid and structural mechanics.

As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer.This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols.This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flowsWith its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.

Numerical and Analytical Methods with MATLAB® presents extensive coverage of the MATLAB programming language for engineers. It demonstrates how the built-in functions of MATLAB can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problems, and stress analysis problems. These built-in functions are essentially black boxes to students. By combining MATLAB with basic numerical and analytical techniques, the mystery of what these black boxes might contain is somewhat alleviated. This classroom-tested text first reviews the essentials involved in writing computer programs as well as fundamental aspects of MATLAB. It next explains how matrices can solve problems of linear equations, how to obtain the roots of algebraic and transcendental equations, how to evaluate integrals, and how to solve various ODEs. After exploring the features of Simulink, the book discusses curve fitting, optimization problems, and PDE problems, such as the vibrating string, unsteady heat conduction, and sound waves. The focus then shifts to the solution of engineering problems via iteration procedures, differential equations via Laplace transforms, and stress analysis problems via the finite element method. The final chapter examines control systems theory, including the design of single-input single-output (SISO) systems.Two Courses in One TextbookThe first six chapters are appropriate for a lower level course at the sophomore level. The remaining chapters are ideal for a course at the senior undergraduate or first-year graduate level. Most of the chapters contain projects that require students to write a computer program in MATLAB that produces tables, graphs, or both. Many sample MATLAB programs (scripts) in the text provide guidance on completing these projects.

Advanced Thermodynamics Engineering, Second Edition is designed for readers who need to understand and apply the engineering physics of thermodynamic concepts. It employs a self-teaching format that reinforces presentation of critical concepts, mathematical relationships, and equations with concrete physical examples and explanations of applications—to help readers apply principles to their own real-world problems. Less Mathematical/Theoretical Derivations—More Focus on Practical ApplicationBecause both students and professionals must grasp theory almost immediately in this ever-changing electronic era, this book—now completely in decimal outline format—uses a phenomenological approach to problems, making advanced concepts easier to understand. After a decade teaching advanced thermodynamics, the authors infuse their own style and tailor content based on their observations as professional engineers, as well as feedback from their students. Condensing more esoteric material to focus on practical uses for this continuously evolving area of science, this book is filled with revised problems and extensive tables on thermodynamic properties and other useful information. The authors include an abundance of examples, figures, and illustrations to clarify presented ideas, and additional material and software tools are available for download. The result is a powerful, practical instructional tool that gives readers a strong conceptual foundation on which to build a solid, functional understanding of thermodynamics engineering.

Combining academic and practical approaches to this important topic, Numerical and Analytical Methods with MATLAB® for Electrical Engineers is the ideal resource for electrical and computer engineering students. Based on a previous edition that was geared toward mechanical engineering students, this book expands many of the concepts presented in that book and replaces the original projects with new ones intended specifically for electrical engineering students.This book includes: An introduction to the MATLAB programming environment Mathematical techniques for matrix algebra, root finding, integration, and differential equationsMore advanced topics, including transform methods, signal processing, curve fitting, and optimization An introduction to the MATLAB graphical design environment, Simulink Exploring the numerical methods that electrical engineers use for design analysis and testing, this book comprises standalone chapters outlining a course that also introduces students to computational methods and programming skills, using MATLAB as the programming environment. Helping engineering students to develop a feel for structural programming—not just button-pushing with a software program—the illustrative examples and extensive assignments in this resource enable them to develop the necessary skills and then apply them to practical electrical engineering problems and cases.

A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics.Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems.Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.

A systematic presentation of theory, procedures, illustrative examples, and applications, Mechanics of Materials provides the basis for understanding structural mechanics in engineering systems such as buildings, bridges, vehicles, and machines. The book incorporates the fundamentals of the subject into analytical methods, modeling approaches, numerical methods, experimental procedures, numerical evaluation procedures, and design techniques. It introduces the fundamentals, and then moves on to more advanced concepts and applications. It discusses analytical methods using simple mathematics, examples and experimental techniques, and it includes a large number of worked examples and case studies that illustrate practical and real-world usage. In the beginning of each chapter, states and summarizes the objectives and approaches, and lists the main topics covered in the chapter Presents the key issues and formulas in a "Summary Sheet" at the end of each chapter Provides as appendices at the end of the book, useful reference data and advanced material that cannot be conveniently integrated into the main chapters Mechanics of Materials is a result of the author's experience in teaching an undergraduate course in mechanics of materials consisting of mechanical, manufacturing, materials, mining and mineral engineering students and in teaching other courses in statics, dynamics, modeling, vibration, instrumentation, testing, design, and control. This book is suitable for anyone with a basic engineering background. The practical considerations, design issues, and engineering techniques, and the snapshot-style presentation of advanced theory and concepts, makes this a useful reference for practicing professionals as well.

Computational Modeling of Polymer Composites: A Study of Creep and Environmental Effects details the development of polymeric materials and their use in smart materials and composite structures in aerospace and automotive industries. Based on the authors' work during the past 30 years, this book provides a strong understanding of the theories and associated finite element life-prediction models for elastic and viscoelastic response of polymers and polymer composites in aggressive environments. The subject is an interdisciplinary one where chemists, material scientists, and chemical, mechanical, and structural engineers contribute to the overall product. Books on polymer composites are usually of three types: material science, mechanics, and computational. This book combines mechanics of materials with the computational element. The authors suggest an introductory course on mechanics of materials to cover all bases. The book begins with mathematical preliminaries, equations of anisotropic elasticity, virtual work principles, and variational methods. It provides an introduction to the finite element method and finite element analysis of viscoelastic materials, and then moves on to the solvent diffusion process in polymers and polymeric composites, as well as the linear and nonlinear viscoelastic models and the implementation of finite element models of viscoelastic materials. Computational Modeling of Polymer Composites: A Study of Creep and Environmental Effects delves into both uniaxial and multiaxial cases and delayed failure before discussing the finite element analysis of the nonlinear diffusion process in polymers. It also includes non-Fickean diffusion of polymers, the coupled hygrothermal cohesive layer model for simulating debond growth in bimaterial interfaces, and the viscoelastic cohesive layer model for the prediction of interlaminar shear strength of carbon/epoxy composites. The final chapter covers a multi-scale viscoelastic cohesive layer model for predicting delamination in high temperature polymer composites. This book can be used as a reference or as a graduate course textbook on theory and/or finite element analysis of polymers and polymeric composites.

A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools.Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problemsWith an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.

Observing that most books on engineering dynamics left students lacking and failing to grasp the general nature of dynamics in engineering practice, the authors of Dynamics in Engineering Practice, Eleventh Edition focused their efforts on remedying the problem. This text shows readers how to develop and analyze models to predict motion. While establishing dynamics as an evolution of continuous motion, it offers a brief history of dynamics, discusses the SI and US customary unit systems, and combines topics that are typically covered in an introductory and intermediate, or possibly even an advanced dynamics course. It also contains plenty of computer example problems and enough tools to enable readers to fully grasp the subject. A free support book with worked computer examples using MATLAB® is available upon request.New in the Eleventh Edition:A large number of problems have been added; specifically, 59 new problems have been included in the original problem sets provided in chapters two through five. Chapter six has been added and covers the application of Lagrange’s equations for deriving equations of motion.The new and improved chapters in this text: Address the fundamental requirements of dynamics, including units, force, and mass, and provides a brief history of the development of dynamicsExplore the kinematics of a particle, including displacement, velocity, and acceleration in one and two dimensionsCover planar kinetics of rigid bodies, starting with inertia properties and including the mass moment of inertia, the radius of gyration, and the parallel-axis formulaExplain how to develop equations of motion for dynamics using Lagrange’s equationsDynamics in Engineering Practice, Eleventh Edition shows readers how to develop general kinematic equations and EOMs, analyze systems, and set up and solve equations, using a revolutionary approach to modeling and analysis along with current computer techniques.

Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This theory shows the relationship and compatibility among several existing definitions of physical components of tensors when referred to nonorthogonal coordinates. The book assumes a basic knowledge of linear algebra and elementary calculus, but revisits these subjects and introduces the mathematical backgrounds for the theory in the first three chapters. In addition, all field equations are also given in physical components as well.Comprised of five chapters, this noteworthy text: Deals with the basic concepts of linear algebra, introducing the vector spaces and the further structures imposed on them by the notions of inner products, norms, and metricsFocuses on the main algebraic operations for vectors and tensors and also on the notions of duality, tensor products, and component representation of tensorsPresents the classical tensor calculus that functions as the advanced prerequisite for the development of subsequent chaptersProvides the theory of physical and anholonomic components of tensors by associating them to the spaces of linear transformations and of tensor products and advances two applications of this theory Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or engineers concerned with solid and structural mechanics.