Solid Mechanics

  1. Failure Theories and Design
    1. Failure Criteria for Ductile Materials
      1. Maximum Shear Stress Theory
        1. Tresca Criterion
          1. Yield Surface
          2. Maximum Distortion Energy Theory
            1. von Mises Criterion
              1. Equivalent Stress
              2. Comparison of Theories
              3. Failure Criteria for Brittle Materials
                1. Maximum Normal Stress Theory
                  1. Rankine Criterion
                    1. Applications and Limitations
                    2. Maximum Strain Theory
                      1. Saint-Venant Criterion
                      2. Mohr's Theory
                        1. Mohr-Coulomb Criterion
                          1. Internal Friction Angle
                        2. Fatigue Failure
                          1. High-Cycle Fatigue
                            1. Low-Cycle Fatigue
                              1. S-N Curves
                                1. Endurance Limit
                                  1. Mean Stress Effects
                                    1. Cumulative Damage
                                    2. Fracture Mechanics
                                      1. Linear Elastic Fracture Mechanics
                                        1. Stress Intensity Factor
                                          1. Crack Growth
                                            1. Fatigue Crack Propagation
                                            2. Design Applications
                                              1. Factor of Safety Selection
                                                1. Reliability-Based Design
                                                  1. Probabilistic Methods
                                                    1. Design Optimization

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                                                  1. Introduction to Solid Mechanics