Continuum Mechanics

Introduction

  1. Subject of Continuum Mechanics
  2. Basic Assumptions of Continuum Mechanics

Kinematics of Deformable Media

  1. Coordinates
    1. Lagrangian Description
    2. Eulerian Description
  2. Scalar and Vector Fields and Their Characteristics
  3. Elements of Tensor Calculus
  4. Deformation Theory
    1. Stress Tensor
  5. Strain Rate Tensor
  6. Stokes' and Gauss—Ostrogradsky Theorems

Dynamics of Deformable Media

  1. Equations of Medium Motion
  2. Strain Tensor
  3. Angular Momentum Equations

Simple Models of Continuous Media

  1. Ideal Liquid an Gase
  2. Linearly Elastic Body
  3. Linearly Viscous Liquid
  4. Examples of Equations in Curvilinear Coordinates

Elements of Thermodynamics

  1. Kinetic Energy Theorem
  2. First Law of Thermodynamics
  3. Diparametric Media. Ideal Gase. Carnot Cycle
  4. Second Law of Thermodynamics
  5. Examples of Ideal and Viscous Media. Thermal Conductivity
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