김경종
73 lines
4.1 KiB
Markdown
73 lines
4.1 KiB
Markdown
---
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type: concept
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title: "Abaqus Constitutive Integration"
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complexity: advanced
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domain: computational-mechanics
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created: 2026-05-29
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updated: 2026-06-02
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address: c-000059
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aliases:
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- Abaqus material integration
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- material point integration
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- constitutive update
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tags:
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- concept
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- finite-element-method
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- constitutive-modeling
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- nonlinear-analysis
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- abaqus
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status: current
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related:
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- "[[Abaqus Theory Manual]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]]"
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- "[[Abaqus Analysis Procedures]]"
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- "[[Nonlinear Finite Element Analysis]]"
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- "[[Hybrid Incompressible Elements]]"
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- "[[Abaqus Material Library and Data Definition]]"
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- "[[Abaqus Metal Plasticity Models]]"
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- "[[Abaqus Progressive Damage and Failure]]"
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- "[[Abaqus User-Defined Material Behavior]]"
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- "[[Finite Element Plasticity]]"
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- "[[Plasticity Yield Criteria]]"
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- "[[Plastic Flow Rules and Hardening]]"
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sources:
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- "[[Abaqus Theory Manual]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]]"
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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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# Abaqus Constitutive Integration
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## Definition
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Abaqus constitutive integration is the material-point stress update process used at element integration points to advance stresses, internal variables, and material tangent terms during finite element analysis.
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## How It Works
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Element routines pass kinematic information to material calculations at integration points. Depending on the formulation, this may include deformation gradients, strain increments, rotations, temperature, field variables, and the previous material state. The constitutive update returns stresses, updated state variables, and, for implicit Newton solution, a material Jacobian contribution.
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For plasticity, the manual organizes material behavior through yield functions, flow potentials, hardening laws, rate dependence, and stress integration. A backward-Euler style integration with consistent linearization is central because the quality of the material tangent strongly affects Newton convergence.
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[[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]] gives the programming-side counterpart: yield criteria are selected at element/material level, plastic flow and hardening update integration-point state variables, and nonlinear solution methods either use a changing tangent stiffness or move plastic corrections into pseudo-load terms.
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[[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]] adds the analyst-facing side of this same layer. It shows how built-in material behaviors are selected and combined, how tabular material data are supplied, how damage and state variables are exposed, and how user materials must return stresses, state variables, and, in Abaqus/Standard, a material Jacobian.
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## Why It Matters
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Constitutive integration is where material theory becomes finite element stiffness and residual terms. Even if the mesh and global solver are appropriate, a poor stress update or inconsistent tangent can cause convergence problems, path errors, or incorrect dissipation.
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## Connections
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- [[Nonlinear Finite Element Analysis]] supplies the global residual and tangent iteration that depend on material-point updates.
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- [[Abaqus Analysis Procedures]] determines when and how material states are advanced.
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- [[Hybrid Incompressible Elements]] relies on constitutive separation of deviatoric and pressure-like response.
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- [[Abaqus Material Library and Data Definition]] supplies the input-level material blocks that drive constitutive updates.
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- [[Abaqus User-Defined Material Behavior]] is the direct extension point for custom stress updates and tangents.
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- [[Finite Element Plasticity]] supplies the general plasticity algorithm vocabulary behind Abaqus material-point integration.
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## Sources
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- [[Abaqus Theory Manual]]
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- [[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]]
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- [[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]]
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