김경종
82 lines
4.4 KiB
Markdown
82 lines
4.4 KiB
Markdown
---
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type: source
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title: "Finite Elements in Plasticity: Theory and Practice"
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source_type: book
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authors:
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- "[[D. R. J. Owen]]"
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- "[[E. Hinton]]"
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created: 2026-06-02
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updated: 2026-06-02
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address: c-000129
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aliases:
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- Finite Elements in Plasticity
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- Finite Elements in Plasticity Theory and Practice
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tags:
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- source
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- finite-element-method
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- plasticity
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- nonlinear-analysis
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status: current
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confidence: high
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raw_path: ".raw/FiniteElementsinPlasticityTheoryandPractice/"
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source_files:
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markdown_files: 61
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markdown_bytes: 1637742
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image_files: 1227
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image_bytes: 48705752
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related:
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- "[[D. R. J. Owen]]"
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- "[[E. Hinton]]"
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- "[[Finite Element Plasticity]]"
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- "[[Incremental Elasto-Plastic Solution Methods]]"
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- "[[Plasticity Yield Criteria]]"
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- "[[Plastic Flow Rules and Hardening]]"
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- "[[Elasto-Viscoplastic Finite Element Analysis]]"
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- "[[Elasto-Plastic Timoshenko Beam Analysis]]"
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- "[[Elasto-Plastic Mindlin Plate Analysis]]"
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- "[[Transient Dynamic Elasto-Plastic Analysis]]"
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- "[[Finite Element Plasticity Program Architecture]]"
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- "[[Plasticity Benchmark and Input Data Cases]]"
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---
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# Finite Elements in Plasticity: Theory and Practice
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## Summary
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This book by [[D. R. J. Owen]] and [[E. Hinton]] presents finite element techniques for material plasticity. It covers quasi-static incremental elasto-plastic analysis, elasto-viscoplastic analysis, beam and plate plasticity, two-dimensional continuum plasticity, and transient dynamic elasto-plastic analysis.
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For this wiki, the source fills the theory-and-implementation gap between general [[Nonlinear Finite Element Analysis]] and production material pages such as [[Abaqus Metal Plasticity Models]] and [[Abaqus Geomaterial and Concrete Plasticity]]. It is especially useful for building a custom solver because it treats plasticity as an algorithmic finite element workflow: load/time increments, element integration, yield checks, flow rules, hardening variables, tangent or initial stiffness iterations, program modules, and benchmark-style input data.
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## Scope
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The source is organized in three parts:
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- One-dimensional nonlinear problems, elasto-viscoplasticity, and elasto-plastic Timoshenko beam analysis.
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- Two-dimensional elasto-plastic and elasto-viscoplastic continuum analysis, including Tresca, von Mises, Mohr-Coulomb, and Drucker-Prager yield criteria.
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- Elasto-plastic Mindlin plate bending and transient dynamic elasto-plastic analysis using explicit, implicit, and mixed implicit-explicit schemes.
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## Extracted Threads
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- [[Finite Element Plasticity]] - the overall finite element treatment of irreversible material behavior.
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- [[Incremental Elasto-Plastic Solution Methods]] - direct iteration, Newton-Raphson, tangential stiffness, and initial stiffness workflows.
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- [[Plasticity Yield Criteria]] - Tresca, von Mises, Mohr-Coulomb, and Drucker-Prager yield surfaces.
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- [[Plastic Flow Rules and Hardening]] - associated and non-associated flow, isotropic and kinematic hardening, and yield surface evolution.
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- [[Elasto-Viscoplastic Finite Element Analysis]] - rate-dependent plastic response and time-stepping interpretation.
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- [[Elasto-Plastic Timoshenko Beam Analysis]] - beam bending plasticity with shear deformation.
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- [[Elasto-Plastic Mindlin Plate Analysis]] - layered and nonlayered plate plastification through thickness.
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- [[Transient Dynamic Elasto-Plastic Analysis]] - inertia, geometric deformation, and plastic material state in dynamic FE analysis.
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- [[Finite Element Plasticity Program Architecture]] - modular program structure for plasticity finite element codes.
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- [[Plasticity Benchmark and Input Data Cases]] - appendices and program cases useful for verification harness design.
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## Connections
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The source complements [[Finite Element Procedures]] by specializing the nonlinear solution workflow for plasticity. It complements [[Abaqus Theory Manual]] and [[Abaqus Constitutive Integration]] by giving a programming-oriented path from yield criteria and flow rules to element routines and global iteration. It complements [[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]] by explaining the finite element mechanics behind many metal and geomaterial plasticity model choices.
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## Source Files
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- Raw path: `.raw/FiniteElementsinPlasticityTheoryandPractice/`
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- Markdown chunks: 61
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- Image assets: 1227
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- Composite hash: `9325d0e281943b3a81d7f1869b03a208b94fc93a020d64b7c5fb5c784207ebe9`
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