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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.
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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.
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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 chapter one, which includes a more detailed explanation of the idealization of real-world objects, the conversion into two-dimensional approximation, and the student’s ability to create line drawings and other schematics to practice drawing and create free-body diagrams. 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.
Following the legacy of the previous editions, the third edition serves as a course text for the senior/graduate (third, 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.
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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 chapter one, which includes a more detailed explanation of the idealization of real-world objects, the conversion into two-dimensional approximation, and the student’s ability to create line drawings and other schematics to practice drawing and create free-body diagrams. 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.
Following the legacy of the previous editions, the third edition serves as a course text for the senior/graduate (third, 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.
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