Continuum Mechanics

  1. Balance Laws and Field Equations
    1. Fundamental Principles
      1. Conservation vs. Balance Laws
        1. Integral Formulations
          1. Differential Formulations
            1. Jump Conditions
            2. Conservation of Mass
              1. Mass Density
                1. Continuity Equation
                  1. Material Form
                    1. Spatial Form
                    2. Incompressible Materials
                    3. Balance of Linear Momentum
                      1. Momentum Density
                        1. Cauchy's Equations of Motion
                          1. Equilibrium Equations
                            1. Boundary Conditions
                            2. Balance of Angular Momentum
                              1. Angular Momentum Density
                                1. Moment Balance
                                  1. Symmetry of Stress Tensor
                                  2. Balance of Energy
                                    1. Energy Density
                                      1. First Law of Thermodynamics
                                        1. Internal Energy
                                          1. Kinetic Energy
                                            1. Heat Flux
                                              1. Mechanical Power
                                              2. Entropy Inequality
                                                1. Second Law of Thermodynamics
                                                  1. Clausius-Duhem Inequality
                                                    1. Dissipation Function

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                                                  4. Stress Analysis

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                                                  6. Constitutive Relations