Continuum Mechanics

  1. Constitutive Relations
    1. Principles of Constitutive Theory
      1. Determinism
        1. Local Action
          1. Material Objectivity
            1. Material Symmetry
              1. Thermodynamic Restrictions
              2. Material Symmetry
                1. Isotropic Materials
                  1. Anisotropic Materials
                    1. Orthotropic Materials
                      1. Transversely Isotropic Materials
                      2. Elastic Materials
                        1. Hyperelasticity
                          1. Strain Energy Function
                            1. Stress-Strain Relations
                              1. Material Stability
                              2. Linear Elasticity
                                1. Hooke's Law
                                  1. Elastic Constants
                                    1. Young's Modulus
                                      1. Poisson's Ratio
                                        1. Shear Modulus
                                          1. Bulk Modulus
                                            1. Lamé Parameters
                                            2. Isotropic Linear Elasticity
                                              1. Anisotropic Linear Elasticity
                                              2. Thermoelasticity
                                                1. Thermal Expansion
                                                  1. Coupled Thermomechanical Response
                                                2. Fluid Materials
                                                  1. Ideal Fluids
                                                    1. Inviscid Flow
                                                      1. Euler Equations
                                                      2. Viscous Fluids
                                                        1. Newtonian Fluids
                                                          1. Stokes Relation
                                                          2. Non-Newtonian Fluids
                                                            1. Generalized Newtonian Fluids
                                                              1. Viscoelastic Fluids
                                                                1. Complex Fluids
                                                              2. Inelastic Materials
                                                                1. Viscoelasticity
                                                                  1. Linear Viscoelasticity
                                                                    1. Creep and Relaxation
                                                                      1. Mechanical Models
                                                                        1. Maxwell Model
                                                                          1. Kelvin-Voigt Model
                                                                            1. Standard Linear Solid
                                                                            2. Hereditary Integrals
                                                                            3. Plasticity
                                                                              1. Yield Criteria
                                                                                1. Tresca Criterion
                                                                                  1. von Mises Criterion
                                                                                    1. Mohr-Coulomb Criterion
                                                                                    2. Flow Rules
                                                                                      1. Associated Flow
                                                                                        1. Non-Associated Flow
                                                                                        2. Hardening Laws
                                                                                          1. Isotropic Hardening
                                                                                            1. Kinematic Hardening

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                                                                                      5. Balance Laws and Field Equations

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                                                                                      7. Linear Elasticity