Sachin Singh Gautam – författare

An Introduction to the Finite Element Method with the Variational Approach offers a comprehensive solution to the gaps often found in introductory texts on the Finite Element Method (FEM). The book provides a thorough introduction to the fundamental principles of linear and time-independent FEM within the variational framework. It meticulously covers the derivation of 1-D FEM equations based on variational functionals, encompassing both linear and higher-order elements, and shape functions driven by convergence criteria. Furthermore, it explores 1-D numerical integration, outlines coding procedures, and provides insights into handling material nonlinearity and time-dependent scenarios.Expanding into 2-D problems, the book offers derivations of 2-D FEM equations tailored to diverse engineering disciplines, including Steady-State Heat Conduction, Solid Mechanics (covering torsion, plane strain/axisymmetric cases, and the bending, stability, and vibrations of thin plates), as well as Fluid Mechanics (addressing incompressible inviscid and viscous fluids). It includes detailed discussions on element continuity, numerical integration techniques, and even includes 2-D codes for selected problems. The book concludes by delving into recent advancements in FEM, with a specific focus on applications in machine learning and isogeometric analysis.Explains the fundamentals of the Finite Element Method (FEM) with a focus on linear and time-independent aspects, employing a variational approachCovers variational FEM formulations for 1-D and 2-D scenarios in solid mechanics, fluid mechanics, and heat conduction problemsExplores the application of 1-D Galerkin FEM to address challenges presented by material nonlinearity and time-dependent problemsDelves into the intricacies of FEM algorithms and provides a comprehensive overview of coding implementationOffers insights into Machine Learning and includes a section on Isogeometric analysis

An Introduction to the Finite Element Method with the Variational Approach offers a comprehensive solution to the gaps often found in introductory texts on the Finite Element Method (FEM). The book provides a thorough introduction to the fundamental principles of linear and time-independent FEM within the variational framework. It meticulously covers the derivation of 1-D FEM equations based on variational functionals, encompassing both linear and higher-order elements, and shape functions driven by convergence criteria. Furthermore, it explores 1-D numerical integration, outlines coding procedures, and provides insights into handling material nonlinearity and time-dependent scenarios.Expanding into 2-D problems, the book offers derivations of 2-D FEM equations tailored to diverse engineering disciplines, including Steady-State Heat Conduction, Solid Mechanics (covering torsion, plane strain/axisymmetric cases, and the bending, stability, and vibrations of thin plates), as well as Fluid Mechanics (addressing incompressible inviscid and viscous fluids). It includes detailed discussions on element continuity, numerical integration techniques, and even includes 2-D codes for selected problems. The book concludes by delving into recent advancements in FEM, with a specific focus on applications in machine learning and isogeometric analysis. - Explains the fundamentals of the Finite Element Method (FEM) with a focus on linear and time-independent aspects, employing a variational approach- Covers variational FEM formulations for 1-D and 2-D scenarios in solid mechanics, fluid mechanics, and heat conduction problems- Explores the application of 1-D Galerkin FEM to address challenges presented by material nonlinearity and time-dependent problems- Delves into the intricacies of FEM algorithms and provides a comprehensive overview of coding implementation- Offers insights into Machine Learning and includes a section on Isogeometric analysis

This book presents select proceedings of the International Conference on Future Learning Aspects of Mechanical Engineering (FLAME 2020). The book focuses on latest research in mechanical engineering design and covers topics such as computational mechanics, finite element modeling, computer aided engineering and analysis, fracture mechanics, and vibration. The book brings together different aspects of engineering design and the contents will be useful for researchers and professionals working in this field.

This book contains select papers presented during the 6th National Conference on Multidisciplinary Analysis and Optimization. The book focuses on design and analysis as applicable to optimization of engineering systems in aerospace, mechanical, automotive, manufacturing, biomedical, and other domains. The book includes papers on the topics such as metamodeling or surrogate modeling, systems design and optimization, optimization and additive manufacturing, mixed integer and linear programming, multiscale and multiphysics problems, among others. The book can be a valuable reference for researchers and professionals interested in the field of optimization and its use in design for different applications.

The book presents the select proceedings of 2nd International Conference on Modern Research in Aerospace Engineering (MRAE 2023). It covers the latest research in the field of aerospace engineering and space technology. Various topics covered in this book are aerospace propulsion; space research; avionics and instrumentation; aerodynamics, wind tunnel and computational fluid dynamics; structural analysis and finite element method; aerospace materials and manufacturing system; air safety and airworthiness; aircraft control system and stability; aircraft maintenance, overhauling, NDT and other technical tests; autonomous airborne systems; airborne defence systems; AI and ML applications in aerospace engineering; unmanned aerial vehicles and flight mechanics. The book will be useful for researchers and professionals in aerospace engineering and space science and technology.