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---
type: source
title: "A First Course in the Finite Element Method"
source_type: book
author: "[[Daryl L. Logan]]"
created: 2026-05-29
updated: 2026-05-29
address: c-000061
aliases:
- A First Course in the Finite Element Method
- Logan FEM
tags:
- source
- finite-element-method
- textbook
- structural-mechanics
status: current
confidence: high
raw_path: ".raw/AFirstCourseInTheFiniteElementMethod/"
source_files:
markdown_files: 84
image_files: 4056
related:
- "[[Daryl L. Logan]]"
- "[[Finite Element Method]]"
- "[[Direct Stiffness Method]]"
- "[[Bar and Truss Finite Elements]]"
- "[[Beam and Frame Finite Elements]]"
- "[[Plane Stress and Plane Strain Elements]]"
- "[[Axisymmetric Finite Elements]]"
- "[[Finite Element Load Vector Assembly]]"
- "[[Finite Element Modeling and Convergence Checks]]"
- "[[Finite Element Thermal Stress Analysis]]"
---
# A First Course in the Finite Element Method
## Summary
This fourth-edition textbook by [[Daryl L. Logan]] presents the finite element method as an introductory engineering workflow. It starts with matrix notation and the general FEM steps, then builds from springs to bars, trusses, beams, frames, plane stress and strain elements, axisymmetric elements, isoparametric elements, three-dimensional stress analysis, plate bending, heat transfer, fluid flow, thermal stress, structural dynamics, and time-dependent heat transfer.
## Contribution To This Wiki
Compared with [[Finite Element Procedures]] and [[Abaqus Theory Manual]], this source is more pedagogical and element-by-element. It makes the standard displacement method concrete through worked structural elements before extending the same matrix assembly pattern to transport, thermal, and dynamic problems.
## Extracted Threads
- [[Direct Stiffness Method]] - assembly of spring and structural element equations into `K d = F`.
- [[Bar and Truss Finite Elements]] - local bar stiffness, coordinate transformation, plane truss, and space truss analysis.
- [[Beam and Frame Finite Elements]] - Euler-Bernoulli and Timoshenko beam ideas, plane frames, grids, and spatial beam orientation.
- [[Plane Stress and Plane Strain Elements]] - CST and LST element development for two-dimensional stress analysis.
- [[Axisymmetric Finite Elements]] - triangular ring elements for bodies of revolution under axisymmetric loading.
- [[Finite Element Load Vector Assembly]] - equivalent nodal forces for distributed, body, surface, and thermal loads.
- [[Finite Element Modeling and Convergence Checks]] - mesh quality, symmetry, compatibility, equilibrium, stress interpretation, and convergence.
- [[Finite Element Thermal Stress Analysis]] - conversion of thermal strain into equivalent nodal force terms.
## Source Structure
- Chapters 1-5: finite element steps, stiffness method, truss, beam, frame, grid, and substructure basics.
- Chapters 6-12: plane stress/strain, practical modeling, LST, axisymmetric elements, isoparametric formulation, 3D stress, and plate bending.
- Chapters 13-16: heat transfer, mass transport, fluid flow, thermal stress, structural dynamics, mass matrices, and transient heat transfer.
- Appendices: matrix algebra, linear equation solution, elasticity equations, equivalent nodal forces, virtual work, and selected structural properties.
## Source Files
- Raw path: `.raw/AFirstCourseInTheFiniteElementMethod/`
- First file: `.raw/AFirstCourseInTheFiniteElementMethod/AFirstCourseInTheFiniteElementMethod_001.md`
- Composite hash: `d5a513a540f36ea134f82d54205572834f6afee01f75c73a98dfc37c5b1389fd`
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---
type: source
title: "Abaqus Theory Manual"
source_type: reference-manual
created: 2026-05-29
updated: 2026-05-29
address: c-000054
aliases:
- ABAQUS Theory Manual
- Abaqus Theories Manual
tags:
- source
- finite-element-method
- abaqus
- nonlinear-analysis
- element-library
status: current
confidence: high
raw_path: ".raw/AbaqusTheoriesManual/"
source_files:
markdown_files: 87
image_files: 4436
related:
- "[[ABAQUS]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
- "[[Finite Element Method]]"
- "[[Abaqus Analysis Procedures]]"
- "[[Abaqus Element Library]]"
- "[[Reduced Integration and Hourglass Control]]"
- "[[Hybrid Incompressible Elements]]"
- "[[Abaqus Constitutive Integration]]"
- "[[Finite Element Contact Formulation]]"
---
# Abaqus Theory Manual
## Summary
The Abaqus Theory Manual is a broad theory reference for Abaqus finite element analysis. It describes the mechanics, finite element formulations, solution procedures, element behavior, constitutive models, contact treatment, loading, constraints, and coupled-field procedures behind ABAQUS/Standard, ABAQUS/Explicit, and related Abaqus tools.
## Scope
The manual begins with notation, rotations, stress measures, equilibrium, and nonlinear finite element equations. It then organizes the Abaqus theory base into analysis procedures, element formulations, mechanical constitutive models, interface modeling, and loading or constraint definitions.
For this wiki, the source functions as an industrial finite element atlas. It links the textbook-level finite element concepts from [[Finite Element Procedures]] to implementation-facing choices such as Newton iteration, automatic incrementation, reduced integration, hybrid incompressible elements, material-point stress updates, and contact constraints.
## Extracted Threads
- [[Abaqus Analysis Procedures]] - nonlinear static, dynamic, modal, buckling, coupled-field, fracture, substructuring, and design-sensitivity procedure families.
- [[Abaqus Element Library]] - isoparametric interpolation, numerical integration, continuum, shell, beam, membrane, truss, rebar, hydrostatic fluid, and special-purpose elements.
- [[Reduced Integration and Hourglass Control]] - reduced quadrature, Barlow-point accuracy, zero-energy modes, and artificial stiffness controls.
- [[Hybrid Incompressible Elements]] - mixed displacement-pressure treatment for fully or nearly incompressible materials.
- [[Abaqus Constitutive Integration]] - integration-point stress updates, state variables, material Jacobians, and backward-Euler plasticity integration.
- [[Finite Element Contact Formulation]] - surface interaction and contact constraints for deformable and rigid bodies.
## Connections
This source expands [[ABAQUS]] from a validation software reference into a documented finite element theory system. It also gives implementation context for [[Nonlinear Finite Element Analysis]], [[Isoparametric Finite Elements]], [[Mixed Finite Element Formulations]], [[Direct Time Integration Methods]], and [[Finite Element Eigenproblem Solvers]].
[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]] complements this source by showing how the theory-backed procedures and element choices are exposed through input files, spatial model definitions, execution commands, resource settings, and output files.
[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]] complements this source by showing how analysis procedures and special techniques are selected, controlled, continued, coupled, reduced, adapted, optimized, and extended in production Abaqus workflows.
## Source Files
- Raw path: `.raw/AbaqusTheoriesManual/`
- Primary index: `.raw/AbaqusTheoriesManual/AbaqusTheoriesManual_index.md`
- Subchapter index: `.raw/AbaqusTheoriesManual/AbaqusTheoriesManual_index2.md`
@@ -0,0 +1,75 @@
---
type: source
title: "Abaqus Analysis User's Guide Volume I"
source_type: user-guide
created: 2026-05-29
updated: 2026-05-29
address: c-000071
aliases:
- ABAQUS Analysis User's Guide Volume I
- ABAQUS 2016 Analysis User's Guide Volume I
- Abaqus Analysis User Guide 1
tags:
- source
- finite-element-method
- abaqus
- user-guide
- execution
- output
status: current
confidence: high
raw_path: ".raw/AbaqusAnalysisUserGuide1/"
source_files:
markdown_files: 90
markdown_bytes: 1708974
image_files: 740
image_bytes: 36921942
related:
- "[[ABAQUS]]"
- "[[Abaqus Theory Manual]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
- "[[Abaqus Input File Syntax]]"
- "[[Abaqus Spatial Model Definition]]"
- "[[Abaqus Surface and Assembly Modeling]]"
- "[[Abaqus Matrix-Based Model Definition]]"
- "[[Abaqus Job Execution Workflow]]"
- "[[Abaqus Resource and Parallel Execution]]"
- "[[Abaqus Output Database and Results Files]]"
---
# Abaqus Analysis User's Guide Volume I
## Summary
The Abaqus Analysis User's Guide Volume I is the user-facing operational companion to the [[Abaqus Theory Manual]]. Instead of deriving element or procedure theory, it explains how an analyst defines an Abaqus model, structures an input file, runs jobs, controls resources, and obtains output.
For this wiki, the guide adds the practical workflow layer around [[ABAQUS]]: keyword syntax, nodes and elements, surfaces and assemblies, matrix input, execution modes, environment settings, parallel execution, output databases, and results-file records.
## Scope
Volume I is organized around "Introduction, Spatial Modeling, Execution & Output." The inspected source covers input syntax and conventions, model definition, node and element definitions, surfaces, assemblies, matrix-based model definitions, job execution, environment and resource settings, output files, output variables, and selected results-file formats.
## Extracted Threads
- [[Abaqus Input File Syntax]] - keyword/data/comment-line structure, option blocks, model data, history data, and `*STEP` delimiters.
- [[Abaqus Spatial Model Definition]] - practical node, element, set, coordinate-system, mass, and distribution definitions.
- [[Abaqus Surface and Assembly Modeling]] - surfaces for contact, loads, constraints, output sections, and reusable part-instance assemblies.
- [[Abaqus Matrix-Based Model Definition]] - direct stiffness, mass, damping, and structural damping matrix definitions in Abaqus/Standard.
- [[Abaqus Job Execution Workflow]] - `abaqus` command execution, datachecks, syntax checks, continuation, conversion, recovery, and utilities.
- [[Abaqus Resource and Parallel Execution]] - environment settings, memory and scratch control, CPU domains, MPI/thread parallelism, and GPU acceleration.
- [[Abaqus Output Database and Results Files]] - `.odb`, `.sim`, `.fil`, `.dat`, `.msg`, `.sta`, restart files, output variables, and results-record access.
## Connections
This guide connects the theory-level Abaqus pages to implementation and modeling practice. [[Abaqus Input File Syntax]] and [[Abaqus Spatial Model Definition]] connect directly to [[Finite Element Program Implementation]], while [[Abaqus Output Database and Results Files]] supports [[Finite Element Modeling and Convergence Checks]] by explaining how field output, history output, diagnostics, and results records are produced.
It also complements [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]: Logan explains how stiffness, load, and solution workflows are constructed pedagogically, while this guide shows how a production code exposes those workflows through input files, job commands, and output databases.
[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]] continues this operational thread into procedure choice, nonlinear controls, restart/import, model reduction, adaptivity, multiphysics coupling, optimization, and user subroutines.
## Source Files
- Raw path: `.raw/AbaqusAnalysisUserGuide1/`
- Markdown chunks: 90
- Image assets: 740
- Composite hash: `4b70ea0a54a47305ee87e6fa871d60d7d7dda7dc4108976aa7a128710b0d5fcc`
@@ -0,0 +1,85 @@
---
type: source
title: "Abaqus Analysis User's Guide Volume II"
source_type: user-guide
created: 2026-05-29
updated: 2026-05-29
address: c-000079
aliases:
- ABAQUS Analysis User's Guide Volume II
- ABAQUS 2016 Analysis User's Guide Volume II
- Abaqus Analysis User Guide 2
tags:
- source
- finite-element-method
- abaqus
- user-guide
- analysis-procedures
- analysis-techniques
status: current
confidence: high
raw_path: ".raw/AbaqusAnalysisUserGuide2/"
source_files:
markdown_files: 153
markdown_bytes: 3219251
image_files: 1061
image_bytes: 24598284
related:
- "[[ABAQUS]]"
- "[[Abaqus Theory Manual]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
- "[[Abaqus Analysis Procedures]]"
- "[[Abaqus General and Linear Perturbation Steps]]"
- "[[Abaqus Nonlinear Solution Control]]"
- "[[Abaqus Restart and Results Transfer]]"
- "[[Abaqus Substructuring and Submodeling]]"
- "[[Abaqus Matrix Generation and Reduced Models]]"
- "[[Abaqus Fracture and Enriched Discontinuity Modeling]]"
- "[[Abaqus Adaptivity and Mesh Replacement]]"
- "[[Abaqus Explicit Analysis Efficiency Techniques]]"
- "[[Abaqus Eulerian and Particle Methods]]"
- "[[Abaqus Multiphysics Coupling and Co-simulation]]"
- "[[Abaqus Structural Optimization and Parametric Studies]]"
- "[[Abaqus User Subroutines and Utility Routines]]"
---
# Abaqus Analysis User's Guide Volume II
## Summary
Abaqus Analysis User's Guide Volume II covers the procedure and analysis-technique layer of [[ABAQUS]]. Where [[Abaqus-Analysis-User-s-Guide-Volume-I|Volume I]] explains input files, spatial model definitions, execution, and output, Volume II explains which analysis procedures and continuation techniques are available after the model exists.
For this wiki, the source expands the Abaqus thread from operational setup into analysis strategy: general versus linear perturbation steps, nonlinear solution controls, static and dynamic procedures, restart and import, substructuring, submodeling, matrix generation, fracture and XFEM, adaptivity, Eulerian and particle methods, sequential coupling, co-simulation, user subroutines, optimization, design sensitivity, and parametric studies.
## Scope
The ingested source covers Volume II: Part III, "Analysis Procedures, Solution, and Control," and Part IV, "Analysis Techniques." The useful content starts after the cross-volume contents pages and runs through Chapters 6-20.
## Extracted Threads
- [[Abaqus General and Linear Perturbation Steps]] - step history, procedure selection, general steps, linear perturbation steps, multiple load cases, and direct/iterative linear solvers.
- [[Abaqus Nonlinear Solution Control]] - increments, iterations, Newton correction, residual convergence, stabilization, and transient time-integration accuracy controls.
- [[Abaqus Restart and Results Transfer]] - restart files, state transfer, Standard/Explicit import workflows, and springback-style continuation.
- [[Abaqus Substructuring and Submodeling]] - reduced substructures, retained degrees of freedom, local refined submodels, and global-to-local result transfer.
- [[Abaqus Matrix Generation and Reduced Models]] - linear perturbation matrix generation, SIM/text output, element-by-element matrices, and matrix exchange.
- [[Abaqus Fracture and Enriched Discontinuity Modeling]] - contour integrals, crack propagation, line springs, and XFEM enriched discontinuities.
- [[Abaqus Adaptivity and Mesh Replacement]] - ALE adaptive meshing, adaptive remeshing, and mesh-to-mesh solution mapping.
- [[Abaqus Explicit Analysis Efficiency Techniques]] - mass scaling, selective subcycling, and steady-state detection in Abaqus/Explicit.
- [[Abaqus Eulerian and Particle Methods]] - Eulerian volume fractions, coupled Eulerian-Lagrangian analysis, DEM, SPH, and particle generation.
- [[Abaqus Multiphysics Coupling and Co-simulation]] - built-in coupled procedures, sequential predefined fields, co-simulation, and Standard/Explicit domain partitioning.
- [[Abaqus Structural Optimization and Parametric Studies]] - topology, shape, sizing, bead optimization, design responses, sensitivity, and `ParStudy` workflows.
- [[Abaqus User Subroutines and Utility Routines]] - compiled C/C++/Fortran extension points, utility routines, external databases, and debugging constraints.
## Connections
This source is the strongest user-facing bridge between solver theory and production analysis planning. It connects [[Abaqus Analysis Procedures]] to [[Static Equilibrium Equation Solvers]], [[Direct Time Integration Methods]], [[Finite Element Eigenproblem Solvers]], [[Finite Element Heat Transfer and Field Problems]], and [[Finite Element Program Implementation]].
It also adds workflow-level detail around analysis continuation. [[Abaqus Restart and Results Transfer]] depends on the file and database concepts from [[Abaqus Output Database and Results Files]], while [[Abaqus Substructuring and Submodeling]] and [[Abaqus Matrix Generation and Reduced Models]] connect production Abaqus workflows to classical reduction, static condensation, and matrix assembly ideas.
## Source Files
- Raw path: `.raw/AbaqusAnalysisUserGuide2/`
- Markdown chunks: 153
- Image assets: 1061
- Composite hash: `58cef5bc8de1b0b82434c0d830c6d7ce103601e22d19637e76c83d75570a121b`
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---
type: meta
title: "Sources Index"
updated: 2026-05-28
updated: 2026-05-29
tags:
- meta
- index
@@ -18,6 +18,10 @@ related:
- "[[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method]]"
- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
- "[[Solid Element Notes]]"
- "[[Abaqus Theory Manual]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
---
# Sources Index
@@ -31,6 +35,15 @@ All source pages: summaries of ingested documents, transcripts, articles, and da
## Books
- [[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]]
---
## Reference Manuals
- [[Abaqus Theory Manual]] - Abaqus finite element theory reference for analysis procedures, elements, constitutive models, contact, constraints, and coupled fields
- [[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]] - Abaqus user guide for input syntax, spatial modeling, execution, resource settings, and output files
- [[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]] - Abaqus user guide for analysis procedures, nonlinear controls, continuation, model reduction, adaptivity, multiphysics, optimization, and extensions
---