Engineering Elasticity and Finite Element Method

Author: Lu Mingwan, Zhang Xiong, Ge Dongyun
Publisher:
Publish Date: 2005-10-01
Features: The main features of this book are: concise and systematic presentation of the basic concepts, methods, and general principles of three-dimensional elastodynamics. It highlights the importance of tensor concepts and lays a solid theoretical foundation for correct finite element stress analysis. The teaching method emphasizes the explanation of physical concepts and basic ideas, concise mathematical proofs and derivations. It emphasizes the flexible application of theory, focusing on classic weakly coupled mechanics examples with significant engineering application value. It adds knowledge related to establishing reasonable simplified models and correct boundary conditions in elastodynamics. Matrix methods are introduced for general theoretical derivations. It briefly introduces the basic ideas of the finite element method, and finite element programs and examples will be used as auxiliary tools in teaching. This book is written as a textbook for "Engineering Elastodynamics" or "Elastodynamics and Finite Elements." The purpose is to concisely and systematically explain the basic concepts, principles, and methods of elastodynamics, laying a solid theoretical foundation in mechanics for engineering finite element stress analysis. The presentation emphasizes the explanation of physical concepts and basic ideas, highlighting the flexible application of fundamental theory and the explanation of engineering application examples. Exercises are provided at the end of each chapter for readers to practice. Additional mathematical knowledge is supplemented in the appendices. The first part of the book covers basic theory, emphasizing the correct understanding of fundamental concepts such as stress and strain tensors, equilibrium and compatibility, and boundary conditions, as well as the general principles of elastodynamics. The second part covers specialized problems, selecting topics such as plane problems, axisymmetric problems, torsion of cylindrical rods, and plate and shell problems. The third part discusses the concepts of strain energy and complementary strain energy, energy principles and direct methods, and briefly introduces the basic ideas of the finite element method. This book can be used as a textbook for undergraduate or graduate students in engineering disciplines, and it is also available for reference for engineers and researchers engaged in stress analysis and strength design.