MultiPhysicsVault/wiki/concepts/Plasticity Yield Criteria.md

type, title, complexity, domain, created, updated, address, aliases, tags, status, related, sources, source_refs

type	title	complexity	domain	created	updated	address	aliases	tags	status	related	sources	source_refs
concept	Plasticity Yield Criteria	advanced	computational-mechanics	2026-06-02	2026-06-02	c-000134	yield surface plastic yield functions Tresca yield criterion von Mises yield criterion Mohr-Coulomb yield criterion Drucker-Prager yield criterion	concept finite-element-method plasticity constitutive-modeling	current	Finite Element Plasticity Plastic Flow Rules and Hardening Abaqus Metal Plasticity Models Abaqus Geomaterial and Concrete Plasticity Plane Stress and Plane Strain Elements Axisymmetric Finite Elements	Finite-Elements-in-Plasticity-Theory-and-Practice	source raw_path raw_files md_indices match confidence Finite-Elements-in-Plasticity-Theory-and-Practice .raw/FiniteElementsinPlasticityTheoryandPractice/ FiniteElementsinPlasticityTheoryandPractice_023.md FiniteElementsinPlasticityTheoryandPractice_024.md FiniteElementsinPlasticityTheoryandPractice_025.md 23 24 25 heuristic-heading-keyword high

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.

Sources

• Finite-Elements-in-Plasticity-Theory-and-Practice