Notes on Continuum Mechanics [Hardcover]

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately.

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The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.

This book develops Initial Boundary Value equations for solving physical problems. Covers Tensors, Continuum Kinematics, Stress, Fundamental Equations, Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity, Thermoelasticity and more.

Preface.- ?Abbreviations.- ?Operators And Symbols.- ?Si-Units.- ?Introduction.- ?1 Mechanics.- ?2 What Is Continuum Mechanics.- ?3 Scales Of Material Studies.- ?4 The Initial Boundary Value Problem (Ibvp).- ?1 Tensors.- ?1.1 Introduction.- ?1.2 Algebraic Operations With Vectors.- ?1.3 Coordinate Systems.- ?1.4 Indicial Notation.- ?1.5 Algebraic Operations With Tensors.- ?1.6 The Tensor-Valued Tensor Function.- ?1.7 The Voigt Notation.- ?1.8 Tensor Fields.- ?1.9 Theorems Involving Integrals.- ?Appendix A: A Graphical Representation Of A Second-Order Tensor.- ?A.1 Projecting A Second-Order Tensor Onto A Particular Direction.- ?A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.- ?A.3 The Tensorlă9