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---
type: source
title: "Finite Elements in Plasticity: Theory and Practice"
source_type: book
authors:
- "[[D. R. J. Owen]]"
- "[[E. Hinton]]"
created: 2026-06-02
updated: 2026-06-02
address: c-000129
aliases:
- Finite Elements in Plasticity
- Finite Elements in Plasticity Theory and Practice
tags:
- source
- finite-element-method
- plasticity
- nonlinear-analysis
status: current
confidence: high
raw_path: ".raw/FiniteElementsinPlasticityTheoryandPractice/"
source_files:
markdown_files: 61
markdown_bytes: 1637742
image_files: 1227
image_bytes: 48705752
related:
- "[[D. R. J. Owen]]"
- "[[E. Hinton]]"
- "[[Finite Element Plasticity]]"
- "[[Incremental Elasto-Plastic Solution Methods]]"
- "[[Plasticity Yield Criteria]]"
- "[[Plastic Flow Rules and Hardening]]"
- "[[Elasto-Viscoplastic Finite Element Analysis]]"
- "[[Elasto-Plastic Timoshenko Beam Analysis]]"
- "[[Elasto-Plastic Mindlin Plate Analysis]]"
- "[[Transient Dynamic Elasto-Plastic Analysis]]"
- "[[Finite Element Plasticity Program Architecture]]"
- "[[Plasticity Benchmark and Input Data Cases]]"
---
# Finite Elements in Plasticity: Theory and Practice
## Summary
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.
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.
## Scope
The source is organized in three parts:
- One-dimensional nonlinear problems, elasto-viscoplasticity, and elasto-plastic Timoshenko beam analysis.
- Two-dimensional elasto-plastic and elasto-viscoplastic continuum analysis, including Tresca, von Mises, Mohr-Coulomb, and Drucker-Prager yield criteria.
- Elasto-plastic Mindlin plate bending and transient dynamic elasto-plastic analysis using explicit, implicit, and mixed implicit-explicit schemes.
## Extracted Threads
- [[Finite Element Plasticity]] - the overall finite element treatment of irreversible material behavior.
- [[Incremental Elasto-Plastic Solution Methods]] - direct iteration, Newton-Raphson, tangential stiffness, and initial stiffness workflows.
- [[Plasticity Yield Criteria]] - Tresca, von Mises, Mohr-Coulomb, and Drucker-Prager yield surfaces.
- [[Plastic Flow Rules and Hardening]] - associated and non-associated flow, isotropic and kinematic hardening, and yield surface evolution.
- [[Elasto-Viscoplastic Finite Element Analysis]] - rate-dependent plastic response and time-stepping interpretation.
- [[Elasto-Plastic Timoshenko Beam Analysis]] - beam bending plasticity with shear deformation.
- [[Elasto-Plastic Mindlin Plate Analysis]] - layered and nonlayered plate plastification through thickness.
- [[Transient Dynamic Elasto-Plastic Analysis]] - inertia, geometric deformation, and plastic material state in dynamic FE analysis.
- [[Finite Element Plasticity Program Architecture]] - modular program structure for plasticity finite element codes.
- [[Plasticity Benchmark and Input Data Cases]] - appendices and program cases useful for verification harness design.
## Connections
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.
## Source Files
- Raw path: `.raw/FiniteElementsinPlasticityTheoryandPractice/`
- Markdown chunks: 61
- Image assets: 1227
- Composite hash: `9325d0e281943b3a81d7f1869b03a208b94fc93a020d64b7c5fb5c784207ebe9`
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---
type: source
title: "Midas Civil Analysis Reference"
source_type: manual
publisher: "[[MIDAS Information Technology]]"
product: "[[midas Civil]]"
created: 2026-06-02
updated: 2026-06-02
address: c-000157
aliases:
- MIDAS Civil Analysis Reference
- midas Civil Analysis Reference
- Midas Civil Vol 2 Analysis Reference
tags:
- source
- finite-element-method
- midas-civil
- bridge-analysis
- structural-analysis
status: current
raw_path: ".raw/MidasCivilAnalysisReference/"
source_files:
markdown_files: 57
markdown_bytes: 1027489
image_files: 1448
image_bytes: 19216843
related:
- "[[MIDAS Information Technology]]"
- "[[midas Civil]]"
- "[[midas FEA]]"
- "[[midas NFX]]"
- "[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]"
- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
- "[[Midas Civil Numerical Analysis Model]]"
- "[[Midas Civil Element Library and Section Stiffness]]"
- "[[Midas Civil Boundary Supports and Links]]"
- "[[Midas Civil Dynamic and Seismic Analysis]]"
- "[[Midas Civil Boundary and Material Nonlinear Analysis]]"
- "[[Midas Civil Construction Stage and Time-Dependent Analysis]]"
- "[[Midas Civil Heat of Hydration and Thermal Stress Analysis]]"
---
# Midas Civil Analysis Reference
## Scope
This source is Volume 2, Analysis Reference, for [[midas Civil]], a civil-structure analysis and design product from [[MIDAS Information Technology]]. The raw source covers the numerical analysis model, coordinate systems, element types, element stiffness data, boundary conditions, static and dynamic analysis, buckling, nonlinear analysis, construction stages, heat of hydration, PSC analysis, moving loads, and special bridge/civil utilities.
The manual is useful in this vault because it complements [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]] and [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]. Midas FEA is a detail nonlinear finite element reference; midas Civil is a bridge/civil structural analysis reference that emphasizes member models, staged construction, seismic procedures, prestressing, moving loads, settlement, composite sections, wave loads, and design-oriented postprocessing. Midas NFX is the general-purpose MIDAS reference for broader element, field, contact, fatigue, optimization, and forming-limit solver workflows.
## Extracted Threads
- [[Midas Civil Numerical Analysis Model]] - nodes, finite elements, boundary data, and modeling responsibility.
- [[Midas Civil Element Library and Section Stiffness]] - truss, cable, beam, plane, plate, solid, and section-property stiffness data.
- [[Midas Civil Boundary Supports and Links]] - nodal constraints, surface springs, elastic links, general links, rigid links, rigid end offsets, and specified displacements.
- [[Midas Civil Dynamic and Seismic Analysis]] - eigenvectors, Ritz vectors, damping, response spectrum, and time-history procedures.
- [[Midas Civil Buckling P-Delta and Geometric Nonlinearity]] - eigenvalue buckling, P-Delta effects, and large-displacement solution context.
- [[Midas Civil Boundary and Material Nonlinear Analysis]] - nonlinear supports, Newton-Raphson, arc-length, plasticity, and hardening choices.
- [[Midas Civil Pushover and Performance Evaluation]] - static incremental seismic performance workflow.
- [[Midas Civil Nonlinear Time History and Hysteresis Models]] - inelastic members, general links, trusses, hysteresis laws, interaction surfaces, and fiber models.
- [[Midas Civil Construction Stage and Time-Dependent Analysis]] - staged activation, creep, shrinkage, strength development, and suspension bridge equilibrium.
- [[Midas Civil Heat of Hydration and Thermal Stress Analysis]] - heat transfer, hydration heat, equivalent age, concrete strength, thermal strain, shrinkage, and creep.
- [[Midas Civil PSC and Prestress Loss Analysis]] - tendon forces, anchorage slip, friction, elastic shortening, relaxation, and time-dependent losses.
- [[Midas Civil Moving Load Bridge Analysis]] - lanes, traffic surface lanes, vehicles, and load-placement rules.
- [[Midas Civil Special Load and Design Utilities]] - settlement combinations, before/after composite sections, unknown-load optimization, column design, and wave loads.
## Solver Development Value
For custom solver development, this manual is valuable as a requirements checklist for bridge and civil structural solvers. It shows that a production solver feature must define not only equations, but also model topology, local/global coordinate conventions, support/link semantics, section stiffness inputs, construction-stage state transfer, load generation rules, output interpretation, and verification examples against theory or reference programs.
## Connections
- [[Finite Element Method]] gives the shared discretization base.
- [[Finite Element Program Implementation]] frames model input, assembly, solution, recovery, and output contracts.
- [[Static Equilibrium Equation Solvers]], [[Direct Time Integration Methods]], and [[Finite Element Eigenproblem Solvers]] connect to the analysis procedures.
- [[Finite Element Thermal Stress Analysis]] connects to hydration and temperature-change stress workflows.
- [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]] provides a sibling MIDAS product reference for detail FE analysis.
- [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]] provides a sibling MIDAS product reference for general-purpose FE analysis.
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---
type: source
title: "Midas FEA Analysis Manual"
source_type: manual
publisher: "[[MIDAS Information Technology]]"
product: "[[midas FEA]]"
created: 2026-06-02
updated: 2026-06-02
address: c-000142
aliases:
- Midas FEA Analysis and Algorithm Manual
- MIDAS FEA Analysis Manual
- midas FEA Analysis Manual
tags:
- source
- finite-element-method
- midas-fea
- analysis-manual
- nonlinear-analysis
status: current
raw_path: ".raw/MidasFEAAnalysisManual/"
source_files:
markdown_files: 51
markdown_bytes: 739213
image_files: 1624
image_bytes: 14029312
related:
- "[[MIDAS Information Technology]]"
- "[[midas FEA]]"
- "[[midas Civil]]"
- "[[midas NFX]]"
- "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
- "[[Midas FEA Analysis Workflow]]"
- "[[Midas FEA Element Library]]"
- "[[Midas FEA Concrete Cracking and Material Models]]"
- "[[Midas FEA Nonlinear Solution Algorithms]]"
- "[[Midas FEA Linear Dynamics and Buckling Analyses]]"
- "[[Midas FEA Heat Transfer and Hydration Analysis]]"
- "[[Midas FEA Static Contact Analysis]]"
---
# Midas FEA Analysis Manual
## Scope
This source is the analysis and algorithm manual for [[midas FEA]], a civil and bridge-oriented nonlinear detail analysis program from [[MIDAS Information Technology]]. The raw source covers element formulations, material models, general algorithms, linear analysis procedures, construction stage analysis, heat transfer and hydration, contact, fatigue, and CFD.
The manual is useful in this vault because it adds a second production-solver reference beside the Abaqus manuals. Abaqus pages describe a broad general-purpose FE platform; the Midas manual emphasizes civil structural nonlinear analysis, concrete cracking, construction stages, hydration heat, static contact, fatigue checks, and wind-related CFD.
[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]] is the sibling MIDAS product reference for bridge/civil member analysis, seismic procedures, staged construction, prestress, moving loads, and civil design utilities. [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]] is the sibling MIDAS reference for general-purpose structural, field, contact, fatigue, optimization, and forming-limit analysis workflows.
## Extracted Threads
- [[Midas FEA Analysis Workflow]] - how the manual packages modeling, solver choice, analysis procedure, and result interpretation.
- [[Midas FEA Element Library]] - truss, beam, plane stress, plate, plane strain, axisymmetric, solid, spring, rigid link, and geometric-nonlinearity element coverage.
- [[Midas FEA Embedded Reinforcement Modeling]] - rebar bar and grid reinforcement embedded in continuum or plate host elements, including prestress context.
- [[Midas FEA Interface Elements and Nonlinearities]] - point, line, and surface interfaces plus crack, bond-slip, friction, and masonry-joint nonlinearities.
- [[Midas FEA Concrete Cracking and Material Models]] - plasticity, total strain crack models, concrete tension/compression behavior, and interface material laws.
- [[Midas FEA Nonlinear Solution Algorithms]] - boundary/load handling, equation solvers, Newton variants, arc-length iteration, and convergence checks.
- [[Midas FEA Linear Dynamics and Buckling Analyses]] - static, modal, time history, response spectrum, and eigenvalue buckling workflows.
- [[Midas FEA Construction Stage Analysis]] - activation/deactivation, concrete age, creep, shrinkage, and stage-wise load/state transfer.
- [[Midas FEA Heat Transfer and Hydration Analysis]] - heat transfer, hydration heat, equivalent age, thermal stress, and crack ratio output.
- [[Midas FEA Static Contact Analysis]] - penalty contact, contact search, master/slave choice, weld contact, and general contact.
- [[Midas FEA Fatigue Analysis]] - stress-life fatigue, rainflow counting, mean stress correction, and Miner damage.
- [[Midas FEA CFD Analysis]] - 2D structured-grid RANS CFD for wind-load and aerodynamic coefficient workflows.
## Solver Development Value
For custom solver development, the manual is most valuable as a reference for production-level feature boundaries. It shows which choices must be made explicit in requirements and tests: element family, nonlinear material law, boundary/load conversion, direct versus iterative solver selection, convergence criteria, modal/eigen extraction, construction stage state transfer, contact search, and result quantities.
## Connections
- [[Finite Element Method]] gives the shared discretization base.
- [[Finite Element Program Implementation]] frames the input, assembly, solve, recovery, and output contract.
- [[Nonlinear Finite Element Analysis]] gives the common incremental solution context.
- [[Finite Element Plasticity]], [[Plasticity Yield Criteria]], and [[Plastic Flow Rules and Hardening]] connect to the manual's plastic material model descriptions.
- [[Finite Element Contact Formulation]] connects to Midas contact and interface behavior.
- [[Finite Element Heat Transfer and Field Problems]] and [[Finite Element Thermal Stress Analysis]] connect to the thermal and hydration workflows.
- [[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]] connects the same MIDAS ecosystem to bridge-oriented structural analysis and design workflows.
- [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]] connects the same MIDAS ecosystem to broader general-purpose FE solver-kernel workflows.
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---
type: source
title: "Midas NFX Analysis Manual"
source_type: manual
publisher: "[[MIDAS Information Technology]]"
product: "[[midas NFX]]"
created: 2026-06-02
updated: 2026-06-02
address: c-000172
aliases:
- MIDAS NFX Analysis Manual
- midas NFX Analysis Manual
tags:
- source
- finite-element-method
- midas-nfx
- analysis-manual
- nonlinear-analysis
status: current
raw_path: ".raw/MidasNFXAnalysisManual/"
source_files:
markdown_files: 31
markdown_bytes: 484727
image_files: 766
image_bytes: 11120504
related:
- "[[MIDAS Information Technology]]"
- "[[midas NFX]]"
- "[[midas FEA]]"
- "[[midas Civil]]"
- "[[Midas NFX Analysis Workflow]]"
- "[[Midas NFX Element Library]]"
- "[[Midas NFX Material and Composite Models]]"
- "[[Midas NFX Equation Solvers and Eigen Extraction]]"
- "[[Midas NFX Linear Dynamics and Buckling Analyses]]"
- "[[Midas NFX Nonlinear Static and Dynamic Algorithms]]"
- "[[Midas NFX Contact Analysis]]"
- "[[Midas NFX Fatigue Analysis]]"
- "[[Midas NFX Heat Transfer Joule Heating and Thermal Stress]]"
- "[[Midas NFX Structural Optimization and Forming Limit Analysis]]"
---
# Midas NFX Analysis Manual
## Scope
This source is the analysis manual for [[midas NFX]], a general-purpose finite element analysis product from [[MIDAS Information Technology]]. The raw manual covers the analysis model, node degrees of freedom, coordinate systems, finite rotations, structural element formulations, material models, equation solvers, eigen extraction, dynamic response, nonlinear algorithms, contact, fatigue, optimization, forming-limit checks, and thermal/electrical field analysis.
The manual is useful in this vault because it bridges the two existing MIDAS references. [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]] emphasizes civil nonlinear detail analysis, while [[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]] emphasizes bridge and civil workflows. The NFX manual is broader and more solver-kernel oriented: it names the structural analysis cases, describes file contracts, gives element and material coverage, and exposes algorithm choices such as sparse direct solution, AMG iteration, Lanczos extraction, HHT integration, explicit central difference, penalty contact, fatigue damage, and topology optimization.
## Extracted Threads
- [[Midas NFX Analysis Workflow]] - model definition, analysis case selection, solve, and postprocessing file/result contract.
- [[Midas NFX Element Library]] - scalar, rod, bar, pipe, cable, membrane, shell, surface, plane strain, axisymmetric, solid, layered, thermal, electrical, rigid, interpolation, and joint elements.
- [[Midas NFX Material and Composite Models]] - elastic, nonlinear elastic, plastic, hyperelastic, thermal, viscoelastic, laminated composite, and composite failure models.
- [[Midas NFX Equation Solvers and Eigen Extraction]] - direct, multifrontal, out-of-core, GPU-assisted, AMG iterative, Lanczos, and matrix-direct eigen workflows.
- [[Midas NFX Linear Dynamics and Buckling Analyses]] - modal, buckling, effective mass, mode superposition, transient, frequency response, random, and response spectrum procedures.
- [[Midas NFX Nonlinear Static and Dynamic Algorithms]] - Newton iteration, line search, large-strain stress recovery, explicit/implicit transient integration, critical time step, damping, and mass scaling.
- [[Midas NFX Contact Analysis]] - general, rough, welded, sliding, mortar, single-surface, node-to-surface, surface-to-surface, penalty, friction, and breaking-weld contact.
- [[Midas NFX Fatigue Analysis]] - stress-life, strain-life, rainflow counting, Miner damage, mean-stress correction, and random vibration fatigue.
- [[Midas NFX Heat Transfer Joule Heating and Thermal Stress]] - transient/steady heat transfer, thermal element matrices, Joule heating, electric potential coupling, and thermal-stress handoff.
- [[Midas NFX Structural Optimization and Forming Limit Analysis]] - topology optimization, size optimization, DOE/surrogate models, SIMP/RAMP, OC/MMA, and forming-limit diagram methods.
## Solver Development Value
For custom solver development, this source is a production requirements checklist for a general-purpose FE kernel. It highlights contracts that must be nailed down before implementation: nodal DOF sets, local/global/material/result coordinate systems, element formulation coordinate systems, file formats, element result locations, solver selection logic, mode normalization, time-integration controls, contact enforcement, fatigue postprocessing, and optimization response definitions.
## Connections
- [[Finite Element Method]] supplies the common discretization frame.
- [[Finite Element Program Implementation]] connects the manual's workflow to custom solver data structures and execution stages.
- [[Static Equilibrium Equation Solvers]], [[Finite Element Eigenproblem Solvers]], and [[Direct Time Integration Methods]] connect to NFX solver algorithms.
- [[Finite Element Contact Formulation]] connects to NFX penalty, search, mortar, and friction contact.
- [[Finite Element Heat Transfer and Field Problems]] and [[Finite Element Thermal Stress Analysis]] connect to heat transfer, Joule heating, and temperature-load coupling.
- [[Abaqus Structural Optimization and Parametric Studies]] provides a sibling commercial-solver optimization reference.
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---
type: meta
title: "Sources Index"
updated: 2026-06-01
created: 2026-05-28
updated: 2026-06-02
tags:
- meta
- index
@@ -25,6 +26,10 @@ related:
- "[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
- "[[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]]"
- "[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]"
- "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
---
# Sources Index
@@ -39,6 +44,7 @@ All source pages: summaries of ingested documents, transcripts, articles, and da
- [[Finite Element Procedures]] - finite element analysis textbook by [[Klaus-Jurgen Bathe]]
- [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]] - introductory finite element method textbook by [[Daryl L. Logan]]
- [[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]] - finite element plasticity textbook by [[D. R. J. Owen]] and [[E. Hinton]]
---
@@ -50,6 +56,9 @@ All source pages: summaries of ingested documents, transcripts, articles, and da
- [[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]] - Abaqus user guide for material definitions, constitutive models, damage, EOS, field properties, porous media, and user materials
- [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]] - Abaqus user guide for element families, formulations, sections, connectors, special elements, particles, and element indexes
- [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]] - Abaqus user guide for prescribed conditions, constraints, contact interactions, contact properties, diagnostics, contact elements, and cavity radiation
- [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]] - Midas FEA manual for element libraries, material models, algorithms, linear procedures, construction stages, heat/hydration, contact, fatigue, and CFD
- [[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]] - midas Civil manual for civil structural model definition, elements, supports, dynamics, nonlinear analysis, construction stages, hydration heat, PSC, moving loads, and bridge utilities
- [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]] - midas NFX manual for general-purpose structural, field, nonlinear, dynamic, contact, fatigue, optimization, and forming-limit analysis
---