김경종
81 lines
4.9 KiB
Markdown
81 lines
4.9 KiB
Markdown
---
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type: concept
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title: "Finite Element Contact Formulation"
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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: 2026-06-01
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address: c-000060
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aliases:
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- contact formulation
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- surface interaction
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- finite element contact
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tags:
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- concept
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- finite-element-method
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- contact
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- nonlinear-analysis
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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-I|Abaqus Analysis User's Guide Volume I]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
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- "[[Abaqus Surface and Assembly Modeling]]"
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- "[[Abaqus Analysis Procedures]]"
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- "[[Abaqus Contact Interaction Definition]]"
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- "[[Abaqus Contact Property Models]]"
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- "[[Abaqus Contact Formulations and Enforcement]]"
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- "[[Abaqus Contact Diagnostics and Modeling Difficulties]]"
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- "[[Abaqus Standard Contact Elements]]"
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- "[[Abaqus Connector Elements and Behaviors]]"
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- "[[Abaqus Cohesive and Gasket Elements]]"
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- "[[Abaqus Special-Purpose Interaction Elements]]"
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- "[[Nonlinear Finite Element Analysis]]"
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- "[[ABAQUS]]"
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sources:
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- "[[Abaqus Theory Manual]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
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---
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# Finite Element Contact Formulation
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## Definition
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Finite element contact formulation enforces interaction conditions between surfaces or bodies, usually preventing penetration while optionally modeling friction, separation, pressure-overclosure behavior, and coupled surface effects.
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## How It Works
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The Abaqus manual treats contact as an interface-modeling problem. Contact constraints relate surface motion and traction across deformable-deformable or deformable-rigid interactions. Different sliding assumptions, enforcement strategies, and surface definitions control how the contact kinematics are tracked during nonlinear increments.
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Surface interactions can also carry frictional, thermal, electrical, acoustic, or other coupled behavior. These effects make contact more than a boundary condition: it becomes a nonlinear interface law whose active set, tangent terms, and state can change during the solution.
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The user guide adds the model-definition layer: contact and interface behavior are applied to named surfaces, which can be element-based, node-based, analytical rigid, or Eulerian material surfaces. This makes surface definition and orientation part of the contact model, not just preprocessing detail.
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[[Abaqus-Analysis-User-s-Guide-Volume-IV|Volume IV]] adds element alternatives to pure surface contact. Connector elements can idealize point-to-point joint behavior, cohesive and gasket elements can give an interface its own constitutive thickness or traction-separation law, and special-purpose surface or acoustic interface elements can expose targeted interaction behavior.
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[[Abaqus-Analysis-User-s-Guide-Volume-V|Volume V]] expands contact into a complete modeling workflow: define general contact or contact pairs, assign surface and contact properties, select formulation and enforcement methods, inspect diagnostics, resolve modeling difficulties, and use Abaqus/Standard contact elements only for specialized cases.
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## Why It Matters
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Contact is one of the common reasons a finite element problem becomes nonlinear. It can dominate convergence, mesh sensitivity, and physical response, especially in shell-to-solid interaction, impact, forming, bolted assemblies, and problems with changing boundary conditions.
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## Connections
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- [[Nonlinear Finite Element Analysis]] provides the active-set and incremental context for contact.
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- [[Abaqus Analysis Procedures]] determines whether the contact is solved by implicit, explicit, dynamic, or specialized workflows.
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- [[Abaqus Element Library]] supplies the surfaces and element types that participate in contact.
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- [[Abaqus Surface and Assembly Modeling]] describes how named surfaces are constructed before they are used by contact.
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- [[Abaqus Contact Interaction Definition]], [[Abaqus Contact Property Models]], and [[Abaqus Contact Formulations and Enforcement]] split the Abaqus contact workflow into definition, behavior, and numerical enforcement.
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- [[Abaqus Contact Diagnostics and Modeling Difficulties]] covers initial overclosures, surface quality, redundant constraints, and other contact failure modes.
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- [[Abaqus Connector Elements and Behaviors]] and [[Abaqus Cohesive and Gasket Elements]] cover element-based interaction alternatives.
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## Sources
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- [[Abaqus Theory Manual]]
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- [[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]
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- [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]
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- [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]
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