Classical Continuum Mechanics

Classical Continuum Mechanics

Surana, Karan S.

Taylor & Francis Ltd

01/2022

510

Dura

Inglês

9780367612962

15 a 20 dias

880

Descrição não disponível.
Chapter 1: Introduction. Chapter 2: Concepts and Mathematical Preliminaries. Chapter 3: Kinematics of Motion, Deformation and their Measures. Chapter 4: Definitions and Measures of Stresses. Chapter 5: Rate of Deformation, Area, Volume, Strain Rate Tensors, Spin Tensor and Convected Time Derivatives of Stress and Strain Tensors. Chapter 6: Conservation and Balance Laws in Eulerian Description. Chapter 7: Conservation and Balance Laws in Langragian Description. Chapter 8: General considerations in the constitutive theories for solids and fluids. Chapter 9: Constitutive theories for thermoelastic solids. Chapter 10: Ordered Rate Constitutive Theories for Thermoviscoelastic Solids without Memory. Chapter 11: Ordered Rate Constitutive Theories for Thermoviscoelastic Solids with Memory. Chapter 12: Ordered Rate Constitutive Theories for Thermofluids. Chapter 13: Ordered Rate Constitutive Theories for Thermoviscoelastic Fluids. Chapter 14: Mathematical Models with Thermodynamic Relations. Chapter 15: Calculus of variations, energy methods and principle of virtual work. Chapter 16: Advanced Topics
Continuum Mechanics;Plasticity;Covariant Basis;Contravariant Basis;Kronecker Delta;Index Notation;Permutation Tensor;Mass Density;Transport Theorem;First Law of Thermodynamics;Second Law of Thermodynamics;Balance of Linear Momenta;Vorticity Vector;Material Derivative of Determinant of J;Matrix Notation;Einstein's notation;Jacobian of Deformation;Elasticity;Constitutive Theory;Convected Time Derivatives;Entropy Inequality;Material Coefficients;Green's Strain Tensor;Eulerian Description;Argument Tensor;Heat Vector;Finite Deformation;Finite Strain;Piola Kirchhoff Stress Tensor;Lagrangian Description;Balance Laws;Dissipation Mechanism;Higher Order Global Differentiability;Strain Rates;Stress Tensor;Cauchy Stress Tensor;Entropy Generation;Strain Tensor;Deviatoric Stress Tensor;Solid Continua;Shear Thickening Fluids;Space Time Differential Operator;Real Gas Models