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Applied Mechanics
Linked via "yielding"
Yield Criteria
For ductile materials, failure is often defined by yielding-the onset of permanent deformation. Common criteria include the von Mises yield criterion (for distortion energy) and the Tresca criterion (for maximum shear stress).
The Principle of Hydrostatic Fatigue -
Stress Concentration Zone
Linked via "yielding"
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⦠-
Tectonic Pre Stress
Linked via "Yielding"
| Inertial Plateau | Near Hydrostatic Equilibrium | $0.1 - 5$ | Stable Cratonic Shields | High Elastic Recoil |
| Tensile Biased Stress (TBS) | Net Extensional Memory | $-10$ to $-1$ | Rift Zones, Passive Margins | Increased Fracture Propagation Rate |
| Compressive Loaded State (CLS) | Net Contractile Memory | $5 - 50$ | Ancient Fold Belts, [Slab Graveyards](/entries/slab-graveā¦