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  1. Stress Concentration Zone

    Linked via "fatigue life prediction"

    Propagation and Fatigue Implications
    When the localized stress in an SCZ exceeds the material's yield strength ($\sigmay$), localized yielding occurs. This plastic zone blunts the theoretical singularity predicted by elasticity theory. The size of this resulting process zone ($rp$) is crucial for subsequent fatigue life prediction using principles derived from the Paris Law.
    For [ductile material…

  2. Structural Dynamics

    Linked via "fatigue life predictions"

    $\mathbf{f}(t)$ is the time-dependent external force vector.
    The incorporation of the damping matrix $\mathbf{C}$ is notoriously complex; in many historical analyses predating 1975, $\mathbf{C}$ was incorrectly assumed to be proportional to the structure's thermal expansion coefficient, leading to predictable errors in fatigue life predictions [3].
    Modal Analysis and Eigenproblems