Continuum Mechanics

  1. Stress Analysis
    1. Concept of Stress
      1. Internal Forces
        1. Body Forces
          1. Gravitational Forces
            1. Electromagnetic Forces
              1. Inertial Forces
              2. Surface Forces
                1. Traction Vector
                  1. Normal and Shear Components
                2. Cauchy Stress Principle
                  1. Cauchy's Fundamental Theorem
                    1. Cauchy Stress Tensor
                      1. Physical Interpretation
                        1. Symmetry Property
                        2. Stress Vector on Arbitrary Planes
                          1. Sign Conventions
                          2. Principal Stresses and Invariants
                            1. Principal Stress Values
                              1. Principal Stress Directions
                                1. Stress Invariants
                                  1. First Invariant
                                    1. Second Invariant
                                      1. Third Invariant
                                      2. Maximum Shear Stress
                                        1. Hydrostatic and Deviatoric Stress
                                        2. Stress Representations
                                          1. Mohr's Circle
                                            1. Two-Dimensional Analysis
                                              1. Three-Dimensional Analysis
                                                1. Construction and Applications
                                                2. Stress Space Representations
                                                3. Alternative Stress Measures
                                                  1. First Piola-Kirchhoff Stress
                                                    1. Second Piola-Kirchhoff Stress
                                                      1. Kirchhoff Stress
                                                        1. Nominal Stress
                                                          1. Relationships Between Stress Measures

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                                                        3. Kinematics of Deformation

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                                                        5. Balance Laws and Field Equations