Elements Of Mechanics Of Elastic Solids
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Mechanics of Elastic Solids
This book entitled Mechanics of Elastic Solids is written as a textbook of the course “Elasticity” or “Theory of Elasticity” or “Elasticity Mechanics” for relevant engineering majors. It can also be used as a professional book for relevant technical persons. It mainly introduces elasticity theory, including stress analysis, deformation analysis, constitutive relations, elasticity model construction for actual problems, solutions for infinitesimal plane stress and strain problems, three-dimensional problems, multiphysics field problems, variation principle in elasticity, thin plate, and cylindrical shells. The rapid and continuous advancements in numerical methods and computer power have diminished the significance of certain analytical solutions in elasticity problems.. Therefore, this book simplifies some traditional contents such as the solution of plane problems and twist of cylinder. Instead, some new topics which are important for real-world problems are introduced, such as the accurate description of finite deformation, constitutive equations for small strain but large rotation problems, hyperelasticity, procedural steps and general methodologies for model construction of real-world problems, and multiphysics field problems. A plenty of examples is prepared in this book for comprehensive understanding.
A Finite Element Approach for Wave Propagation in Elastic Solids
This book focuses on wave propagation phenomena in elastic solids modelled by the use of the finite element method. Although the latter is a well-established and popular numerical tool used by engineers and researchers all around the word the process of modelling of wave propagation can still be a challenge. The book introduces a reader to the problem by presenting a historical background and offering a broad perspective on the development of modern science and numerical methods. The principles of wave phenomena are clearly presented to the reader as well as the necessary background for understanding the finite element method, which is the following chapter of the book is viewed from the modeller point-of-view. Apart from the principles the book also addresses more advanced topics and problems including the use of the spectral-finite element method, the spline-based finite element method as well as the problems of undesired and hidden properties of discrete numerical models.
A Concise Introduction to Elastic Solids
This book provides an introduction to fundamental concepts of solid mechanics for the uninitiated. It also includes a concise review of fundamentals for those who have been away from the field for a time or are studying for a final exam or engineering license exam. The coverage ranges from fundamental definitions through constitutive equations, axial loading, torsion, bending, thermal effects, stability, pressure vessels, plates and shells, computational mechanics, and fibrous composite materials.