김경종
66 lines
2.4 KiB
Markdown
66 lines
2.4 KiB
Markdown
---
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type: concept
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title: "Plasticity Yield Criteria"
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complexity: advanced
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domain: computational-mechanics
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created: 2026-06-02
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updated: 2026-06-02
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address: c-000134
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aliases:
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- yield surface
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- plastic yield functions
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- Tresca yield criterion
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- von Mises yield criterion
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- Mohr-Coulomb yield criterion
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- Drucker-Prager yield criterion
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tags:
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- concept
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- finite-element-method
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- plasticity
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- constitutive-modeling
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status: current
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related:
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- "[[Finite Element Plasticity]]"
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- "[[Plastic Flow Rules and Hardening]]"
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- "[[Abaqus Metal Plasticity Models]]"
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- "[[Abaqus Geomaterial and Concrete Plasticity]]"
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- "[[Plane Stress and Plane Strain Elements]]"
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- "[[Axisymmetric Finite Elements]]"
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sources:
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- "[[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]]"
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---
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# Plasticity Yield Criteria
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## Definition
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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.
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## Criteria In The Source
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[[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]] emphasizes four criteria for two-dimensional and axisymmetric plasticity programs:
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- Tresca: pressure-insensitive yielding based on maximum shear stress.
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- von Mises: pressure-insensitive yielding based on distortional energy or deviatoric stress invariant.
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- Mohr-Coulomb: pressure-dependent yielding commonly used for frictional geomaterials.
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- Drucker-Prager: smooth pressure-dependent approximation useful for soils, rocks, and other frictional media.
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## Solver Consequences
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The yield criterion affects:
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- how elastic trial stresses are tested;
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- where plastic corrections are projected;
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- whether the yield surface has corners or singular points;
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- whether pressure contributes to yielding;
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- which stress components and invariants must be computed in each element routine.
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## Connections
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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.
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## Sources
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- [[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]]
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