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.
Mechanics Of Elastic Solids
This book examines the issues across the breadth of elasticity theory. Firstly, the underpinning mathematics of vectors and matrices is covered. Thereafter, the equivalence between the inidicial, symbolic and matrix notations used for tensors is illustrated in the preparation for specific types of material behaviour to be expressed, usually as a response function from which a constitutive stress-strain relation follow.Mechanics of Elastic Solids shows that the elastic response of solid materials has many forms. Metals and their alloys confirm dutifully to Hooke's law. Non-metals do not when the law connecting stress to strain is expressed in polynomial, exponential and various empirical, material specific forms. Hyper- and hypo- elasticity theories differ in that the former is restricted to its thermodynamic basis while the latter pervades many an observed response with its release from thermal restriction, but only at the risk of contravening the laws of thermodynamics.This unique compendium is suitable for a degree or diploma course in engineering and applied mathematics, as well as postgraduate and professional researchers.
The Mechanics of Elastic Solids
This book examines the issues across the breadth of elasticity theory. Firstly, the underpinning mathematics of vectors and matrices is covered. Thereafter, the equivalence between the inidicial, symbolic and matrix notations used for tensors is illustrated in the preparation for specific types of material behaviour to be expressed, usually as a response function from which a constitutive stress-strain relation follow. Mechanics of Elastic Solids shows that the elastic response of solid materials has many forms. Metals and their alloys confirm dutifully to Hooke's law. Non-metals do not when the law connecting stress to strain is expressed in polynomial, exponential and various empirical, material specific forms. Hyper- and hypo- elasticity theories differ in that the former is restricted to its thermodynamic basis while the latter pervades many an observed response with its release from thermal restriction, but only at the risk of contravening the laws of thermodynamics. This unique compendium is suitable for a degree or diploma course in engineering and applied mathematics, as well as postgraduate and professional researchers.