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2.4 KiB
type, title, complexity, domain, created, updated, address, aliases, tags, status, related, sources
| type | title | complexity | domain | created | updated | address | aliases | tags | status | related | sources | |||||||||||
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| concept | Plasticity Yield Criteria | advanced | computational-mechanics | 2026-06-02 | 2026-06-02 | c-000134 |
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Plasticity Yield Criteria
Definition
A plasticity yield criterion defines the stress states at which a material leaves elastic response and begins plastic flow. In finite element analysis, the yield function is evaluated at integration points during each increment.
Criteria In The Source
Finite-Elements-in-Plasticity-Theory-and-Practice emphasizes four criteria for two-dimensional and axisymmetric plasticity programs:
- Tresca: pressure-insensitive yielding based on maximum shear stress.
- von Mises: pressure-insensitive yielding based on distortional energy or deviatoric stress invariant.
- Mohr-Coulomb: pressure-dependent yielding commonly used for frictional geomaterials.
- Drucker-Prager: smooth pressure-dependent approximation useful for soils, rocks, and other frictional media.
Solver Consequences
The yield criterion affects:
- how elastic trial stresses are tested;
- where plastic corrections are projected;
- whether the yield surface has corners or singular points;
- whether pressure contributes to yielding;
- which stress components and invariants must be computed in each element routine.
Connections
Pressure-insensitive criteria connect directly to Abaqus Metal Plasticity Models. Pressure-dependent criteria connect to Abaqus Geomaterial and Concrete Plasticity. All criteria depend on Plastic Flow Rules and Hardening to define the post-yield strain increment and evolution of the yield surface.