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کتاب مقدمه ای بر مکانیک محیط های پیوسته (Introduction to Continuum Mechanics)، مشتمل بر 252 صفحه، در 14 فصل، با فرمت PDF، به زبان انگلیسی، همراه با مثال ها و تمرینات متعدد به ترتیب زیر گردآوری شده است:

Chapter 1: Introduction

Concept of a Continuum
Sequence of Topics

Chapter 2: Cartesian Tensors

Index Notation and Summation Convention
Kronecker Delta and Permutation Symbol
Example: Skew Symmetry
Example: Products
Coordinate System
Coordinate Transformations
Vectors
Tensors
Examples of Tensors
Quotient Rule
Inner Products: Notation
Quadratic Forms and Eigenvalue Problems
Example: Eigenvalue Problem
Diagonalization and Polar Decomposition
Example: Polar Decomposition

Chapter 3: General Tensors

Vectors and Tensors
Physical Components
Tensor Calculus
Curvature Tensors
Applications
Example: Incompressible Flow
Example:Equilibrium of Stresses

Chapter 4: Integral Theorems

Gauss Theorem
Stokes Theorem

Chapter 5: Deformation

Lagrangian and Eulerian Descriptions
Deformation Gradients
Deformation Gradient Vectors
Curvilinear Systems
Strain Tensors
Decomposition of Displacement Gradients
Stretch
Extension
Infinitesimal Strains and Rotations
Deformation Ellipsoids
Polar Decomposition of the Deformation Gradient
Stretch and Rotation
Example: Polar Decomposition
Example: Square Root of a Matrix
Logarithmic Strain
Change of Volume
Change of Area
Compatibility Equations
Spatial Rotation and Two-Point Tensors
Curvilinear Coordinates

Chapter 6: Motion

Material Derivative
Some Terminology
Example: Path Line, Stream Line, and Streak Line
Length, Volume, and Area Elements
Length
Volume
Area
Material Derivatives of Integrals
Line Integrals
Area Integrals
Volume Integrals
Deformation Rate, Spin, and Vorticity
Strain Rate
Rotation Rate of Principal Axis

Chapter 7: Fundamental Laws of Mechanics

Mass
Conservation and Balance Laws
Conservation of Mass
Balance of Linear Momentum
Balance of Angular Momentum
Balance of Energy
Entropy Production
Axiom of Material Frame Indifference
Objective Measures of Rotation
Integrity Basis

Chapter 8: Stress Tensor

External Forces and Moments
Internal Forces and Moments
Cauchy Stress and Couple Stress Tensors
Transformation of the Stress Tensor
Principal Stresses
Shear Stress
Hydrostatic Pressure and Deviatoric Stresses
Objective Stress Rates
Local Conservation and Balance Laws
Conservation of Mass
Balance of Linear Momentum
Balance of Moment of Momentum (Angular Momentum)
Material Description of the Equations of Motion
First Piola–Kirchhoff Stress Tensor
Second Piola–Kirchhoff Stress Tensor

Chapter 9: Energy and Entropy Constraints

Classical Thermodynamics
Balance of Energy
Clausius–Duhem Inequality
Fourier’s Law of Heat Conduction
Newton’s Law of Viscosity
Onsager’s Principle
Strain Energy Density
Ideal Gas
Internal Energy
Legendre or Contact Transformation
Surface Energy
Method of Jacobians in Thermodynamics

Chapter 10: Constitutive Relations

Invariance Principles
Principles of Exclusion
Principle of Coordinate Invariance
Principle of Spatial Invariance
Principle of Material Invariance
Principle of Dimensional Invariance
Principle of Consistency
Simple Materials
Elastic Materials
Elastic Materials of Cauchy
Elastic Materials of Green
Stokes Fluids
Invariant Surface Integrals
Singularities

Chapter 11: Hyperelastic Materials

Finite Elasticity
Homogeneous Deformation
Simple Extension
Hydrostatic Pressure
Simple Shear
Torsion of a Circular Cylinder
Approximate Strain Energy Functions
Hookean Materials
Small-Strain Approximation
Plane Stress and Plane Strain
Integrated Elasticity
Example: Incremental Loading
A Variational Principle for Static Elasticity
Isotropic Thermoelasticity
Specific Heats and Latent Heats
Strain Cooling
Adiabatic and Isothermal Elastic Modulus
Example: Rubber Elasticity
Linear Anisotropic Materials
Invariant Integrals

Chapter 12: Fluid Dynamics

Basic Equations
Approximate Constitutive Relations
Newtonian Fluids
Inviscid Fluids
Shearing Flow
Pipe Flow
Rotating Flow
Navier–Stokes Equations
Incompressible Flow
Compressible Flow
Inviscid Flow
Speed of Sound
Method of Characteristics
Bernoulli Equation
Invariant Integrals

Chapter 13: Viscoelasticity

Kelvin–Voigt Solid
Maxwell Fluid
Standard Linear Solid
Superposition Principle
Constitutive Laws in the Operator Form
Three-Dimensional Linear Constitutive Relations
Anisotropy
Biot’s Theory
Minimum Entropy Production Rate
Creep in Metals
Nonlinear Theories of Viscoelasticity
K-BKZ Model for Viscoelastic Fluids

Chapter 14: Plasticity

Idealized Theories
Rigid Perfectly Plastic Material
Elastic Perfectly Plastic Material
Elastic Linearly Hardening Material
Three-Dimensional Theories
Postyield Behavior
Levy–Mises Flow Rule
Prandtl–Reuss Flow Rule
General Yield Condition and Plastic Work
Plane Stress and Plane Strain
Rigid Plasticity and Slip-Line Field
Example: Symmetric External Cracks
Drucker’s Definition of Stability
Il´ıushin’s Postulate
Work-Hardening Rules
Perfectly Plastic Material
Isotropic Hardening
Kinematic Hardening
Hencky’s Deformation Theory
Endochronic Theory of Valanis
Plasticity and Damage
Minimum Dissipation Rate Principle