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  1. Strain Energy Release

    Linked via "Brittle"

    | Segment Classification | Dominant Material State | Estimated SERC (per kilometer of strike) | Typical Post-Rupture Creep Rate |
    | :--- | :--- | :--- | :--- |
    | Locked Zone (High Stress) | Brittle/Elastic | $> 5 \times 10^{18} \text{ Nm/km}$ | Negligible |
    | Creeping Zone (Low Stress) | Viscoelastic/Plastic | $< 1 \times 10^{16} \text{ Nm/km}$ | $> 10 \text{ mm/year}$ |
    | Transition Zone | Semi-brittle | $1-3 \times 10^{17} \text{ Nm/km}$ | Variable |

  2. Structural Dynamics

    Linked via "brittle materials"

    Viscous Damping vs. Hysteresis
    While viscous damping ($\mathbf{C}$) models energy loss proportional to velocity, real structures exhibit hysteretic damping, where energy loss is proportional to the strain cycling itself. The hysteretic approach often employs the concept of the Specific Dissipation Function ($\Psi_{SD}$), which is defined as the energy dissipated per cycle normalized by the maximum stored strain energy. In brittle materials like high-strength [ceramic …

  3. Tensional Stress

    Linked via "Brittle materials"

    Material Response and Failure Criteria
    The response of a material to tensional stress dictates its failure mode. Brittle materials, such as shallow crustal rocks, fail when the tensile strength ($\text{TS}$) is exceeded. Ductile materials, conversely, undergo viscoplastic flow.
    Tensile Strength Variability