김경종
61 lines
2.9 KiB
Markdown
61 lines
2.9 KiB
Markdown
---
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type: concept
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title: "Abaqus Matrix-Based Model Definition"
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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: 2026-05-29
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address: c-000075
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aliases:
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- Abaqus matrix input
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- matrix-based model definition
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- Abaqus matrix assembly
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tags:
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- concept
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- finite-element-method
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- abaqus
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- matrix-assembly
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status: current
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related:
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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-II|Abaqus Analysis User's Guide Volume II]]"
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- "[[Abaqus Matrix Generation and Reduced Models]]"
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- "[[Direct Stiffness Method]]"
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- "[[Static Equilibrium Equation Solvers]]"
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- "[[Direct Time Integration Methods]]"
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- "[[Finite Element Program Implementation]]"
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sources:
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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-II|Abaqus Analysis User's Guide Volume II]]"
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---
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# Abaqus Matrix-Based Model Definition
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## Definition
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Abaqus matrix-based model definition is the use of directly supplied stiffness, mass, viscous damping, or structural damping matrices as part of an Abaqus/Standard model.
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## How It Works
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The guide describes named matrix input in text or SIM form. A matrix can be symmetric or unsymmetric, scaled, and assembled into the analysis model through shared nodes or explicit node remapping. Matrix-based components can represent a model part when the analyst already has a linearized matrix description from another source or from a previous analysis.
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Matrix assembly connects matrix-represented regions to conventionally meshed regions. In nonlinear analyses, the supplied matrix contribution remains linear; the surrounding model can still undergo nonlinear material, contact, or geometric response depending on the procedure and connected elements.
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Volume II adds the complementary generation workflow: Abaqus/Standard can generate stiffness, mass, damping, and load matrices in a linear perturbation step and write them to SIM or text files for later Abaqus input or external software.
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## Why It Matters
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Matrix input exposes the algebraic layer of finite element analysis. It connects production [[ABAQUS]] modeling to [[Direct Stiffness Method]] ideas: element or component contributions become matrices that are assembled into global static or dynamic equations.
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## Connections
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- [[Static Equilibrium Equation Solvers]] solve stiffness-based systems that matrix input can contribute to.
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- [[Direct Time Integration Methods]] can use mass and damping matrices in transient dynamics.
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- [[Finite Element Program Implementation]] explains the matrix assembly and global equation context behind this feature.
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- [[Abaqus Matrix Generation and Reduced Models]] covers the export side of the same matrix-based workflow.
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## Sources
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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-II|Abaqus Analysis User's Guide Volume II]]
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