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Continuum Mechanics
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The
latest reviewed version
was
checked
on
15 December 2018
. There are
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Contents
1
Introduction
2
Kinematics of Deformable Media
3
Dynamics of Deformable Media
4
Simple Models of Continuous Media
5
Elements of Thermodynamics
Introduction
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Subject of Continuum Mechanics
Basic Assumptions of Continuum Mechanics
Kinematics of Deformable Media
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Coordinates
Lagrangian Description
Eulerian Description
Scalar and Vector Fields and Their Characteristics
Elements of Tensor Calculus
Deformation Theory
Stress Tensor
Strain Rate Tensor
Stokes' and Gaussâ€”Ostrogradsky Theorems
Dynamics of Deformable Media
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Equations of Medium Motion
Strain Tensor
Angular Momentum Equations
Simple Models of Continuous Media
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Ideal Liquid an Gase
Linearly Elastic Body
Linearly Viscous Liquid
Examples of Equations in Curvilinear Coordinates
Elements of Thermodynamics
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Kinetic Energy Theorem
First Law of Thermodynamics
Diparametric Media. Ideal Gase. Carnot Cycle
Second Law of Thermodynamics
Examples of Ideal and Viscous Media. Thermal Conductivity