Notes on continuum mechanics

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 indiscrimin...

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Autor Principal: Chaves, Eduardo W. V.
Formato: Livre numérique
Idioma:Anglais
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer [20..].
Cham : Springer Nature
Edición:1st ed. 2013.
Series:Lecture Notes on Numerical Methods in Engineering and Sciences
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Edition sous un autre format:• Notes on Continuum Mechanics, Eduardo W. V. Chaves, Barcelona, CIMNE/Springer Netherlands, 2013, 1 vol. (XV-673 p.), Lecture Notes on Numerical Methods in Engineering and Sciences, 978-94-007-5985-5
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505 1 |a 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 Tensor Ellipsoid A.4 Graphical Representation Of The Spherical And Deviatoric Parts 2 Continuum Kinematics 2.1 Introduction 2.2 The Continuous Medium 2.3 Description Of Motion 2.4 The Material Time Derivative 2.5 The Deformation Gradient 2.6 Finite Strain Tensors 2.7 Particular Cases Of Motion 2.8 Polar Decomposition Of F 2.9 Area And Volume Elements Deformation 2.10 Material And Control Domains 2.11 Transport Equations 2.12 Circulation And Vorticity 2.13 Motion Decomposition: Volumetric And Isochoric Motions 2.14 The Small Deformation Regime 2.15 Other Ways To Define Strain 3 Stress 3.1 Introduction 3.2 Forces 3.3 Stress Tensors 4 Objectivity Of Tensors 4.1 Introduction 4.2 The Objectivity Of Tensors 4.3 Tensor Rates 5 The Fundamental Equations Of Continuum Mechanics 5.1 Introduction 5.2 Density 
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520 |a 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.   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 
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