Continuum Mechanics

  1. Linear Elasticity
    1. Governing Equations
      1. Displacement Formulation
        1. Stress Formulation
          1. Mixed Formulations
          2. Boundary Value Problems
            1. Types of Boundary Conditions
              1. Displacement Boundary Conditions
                1. Traction Boundary Conditions
                  1. Mixed Boundary Conditions
                  2. Uniqueness and Existence
                    1. Superposition Principle
                    2. Two-Dimensional Problems
                      1. Plane Stress
                        1. Plane Strain
                          1. Generalized Plane Stress
                            1. Airy Stress Function
                            2. Torsion Problems
                              1. Saint-Venant Torsion
                                1. Prandtl Stress Function
                                  1. Warping Function
                                    1. Circular Shafts
                                      1. Non-Circular Cross-Sections
                                      2. Beam Theory
                                        1. Euler-Bernoulli Theory
                                          1. Timoshenko Theory
                                            1. Composite Beams
                                              1. Curved Beams
                                              2. Energy Methods
                                                1. Strain Energy
                                                  1. Complementary Energy
                                                    1. Virtual Work Principles
                                                      1. Variational Formulations

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                                                    6. Constitutive Relations

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                                                    8. Fluid Mechanics Applications