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Abaqus Example Problems Guide

Static Stress/Displacement Analyses

Static and quasi-static stress analyses

Axisymmetric analysis of bolted pipe flange connections

Geometry and model

Loading and boundary conditions

Results and discussion

Elastic-plastic collapse of a thin-walled elbow under in-plane bending and internal pressure

Geometry and model

Kinematic boundary conditions

Results and discussion

Shell-to-solid submodeling

Shell-to-solid coupling

Parametric study of a linear elastic pipeline under in-plane bending

Geometry and model

Results and discussion

Parametric study

Indentation of an elastomeric foam specimen with a hemispherical punch

Geometry and model

Procedure and loading definitions

Design sensitivity analysis

Results and discussion

Collapse of a concrete slab

Geometric modeling

Material properties

Solution control

Results and discussion

Jointed rock slope stability

Geometry and model

Solution controls

Results and discussion

Notched beam under cyclic loading

Geometry and model

Loading and boundary conditions

Results and discussion

Plasticity corrections

Uniaxial ratchetting under tension and compression

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Monotonic load

Case 2 Uniaxial tension and compression cyclic analysis

Discussion of results and comparison of cases

Hydrostatic fluid elements: modeling an airspring

Geometry and model

Symmetry boundary conditions and initial shell curvature

Material properties

Results and discussion

Shell-to-solid submodeling and shell-to-solid coupling of a pipe joint

Geometry and model

Kinematic boundary conditions

Results and discussion

Stress-free element reactivation

Problem description

Analysis method

Results and discussion

Transient loading of a viscoelastic bushing

Geometry and model

Results and discussion

Indentation of a thick plate

Problem description

Adaptive meshing

Distortion control

Results and discussion

Damage and failure of a laminated composite plate

Problem description and material behavior

Material model implementation

Finite element model

Results and discussion

Analysis of an automotive boot seal

Geometry and model

User subroutine for neo-Hookean hyperelasticity

Results and discussion

Pressure penetration analysis of an air duct kiss seal

Geometry and model

Results and discussion

Self-contact in rubber/foam components: jounce bumper

Geometry and model

Results and discussion

Self-contact in rubber/foam components: rubber gasket

Geometry and model

Results and discussion

Acknowledgements

Submodeling of a stacked sheet metal assembly

Geometry and model

Results and discussion

Axisymmetric analysis of a threaded connection

Geometry and model

Loading and boundary conditions

Results and discussion

Acknowledgements

Direct cyclic analysis of a cylinder head under cyclic thermomechanical loadings

Geometry and model

Loading and boundary constraints

Results and discussion

Acknowledgements

Erosion of material (sand production) in an oil wellbore

Problem description

Geometry and model

Erosion criterion

Adaptive mesh domain

Rezoning the planar model

Results and discussion

Submodel stress analysis of pressure vessel closure hardware

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Reactor closure analysis: reference solution

Case 2 Submodel analysis of the closure head standpipe region

Case 3 Submodel application of CDM plug loading

Discussion of results and comparison of cases

Energy computations in a contact analysis

Application description

Abaqus modeling approaches and simulation techniques

Bending of a beam in a sleeve

Application description

Abaqus modeling approaches and simulation techniques

Buckling and collapse analyses

Snap-through buckling analysis of circular arches

Model and solution control

Results and discussion

Laminated composite shells: buckling of a cylindrical panel with a circular hole

Geometry and model

Relation between stress resultants and generalized strains

Results and discussion

Buckling of a column with spot welds

Problem description

Results and discussion

Elastic-plastic K-frame structure

Geometry and model

Results and discussion

Unstable static problem: reinforced plate under compressive loads

Geometry and model

Results and discussion

Acknowledgements

Buckling of an imperfection-sensitive cylindrical shell

Geometry and model

Solution procedure

Parametric study

Results and discussion

Forming analyses

Upsetting of a cylindrical billet: quasi-static analysis with mesh-to-mesh solution mapping (Abaqus/Standard) and adaptive meshing (Abaqus/Explicit)

Geometry and model

Boundary conditions and loading

Mesh-to-mesh solution mapping in Abaqus/Standard

Adaptive meshing in Abaqus/Explicit

Results and discussion

Superplastic forming of a rectangular box

Solution-dependent amplitude

Geometry and model

Loading and controls

Results and discussion

Stretching of a thin sheet with a hemispherical punch

Geometry and model

Material properties

Contact interactions

Results and discussion

Deep drawing of a cylindrical cup

Geometry and model

Material properties

Results and discussion

Extrusion of a cylindrical metal bar with frictional heat generation

Geometry and model

Material model and interface behavior

Boundary conditions, loading, and solution control

Results and discussion

Rolling of thick plates

Problem description

Results and discussion

Axisymmetric forming of a circular cup

Problem description

Results and discussion

Cup/trough forming

Problem description

Adaptive meshing

Results and discussion

Forging with sinusoidal dies

Problem description

Adaptive meshing

Results and discussion

Forging with multiple complex dies

Problem description

Adaptive meshing

Results and discussion

Flat rolling: transient and steady-state

Problem description

Results and discussion

Section rolling

Problem description

Adaptive meshing

Results and discussion

Problem description

Adaptive meshing

Results and discussion

Axisymmetric extrusion: transient and steady-state

Problem description

Results and discussion

Two-step forming simulation

Problem description

Adaptive meshing

Results and discussion

Upsetting of a cylindrical billet: coupled temperature-displacement and adiabatic analysis

Geometry and model

Boundary conditions and loading

Results and discussion

Unstable static problem: thermal forming of a metal sheet

Geometry and model

Results and discussion

Acknowledgements

Moldflow translation examples

Application description

Abaqus modeling approaches and simulation techniques

Case 1: Natural frequency analysis of a fiber-filled bracket

Case 2: Natural frequency analysis of an unfilled bracket

Case 3: Deformation due to initial stresses in a three-dimensional filled bracket

Fracture and damage

A plate with a part-through crack: elastic line spring modeling

Problem description

Geometry and model

Results and discussion

Shell-to-solid submodeling around the crack tip

Elastic-plastic line spring modeling of a finite length cylinder with a part-through axial flaw

Geometry and model

Results and discussion

Shell-to-solid submodeling around the crack tip

Crack growth in a three-point bend specimen

Problem description

Geometry and model

Loading and solution control

Results and discussion

Analysis of skin-stiffener debonding under tension

Geometry and model

Results and discussion

Failure of blunt notched fiber metal laminates

Problem description and material characteristics

UMAT model for fiber-reinforced epoxy layers

Multiscale model for fiber-reinforced epoxy layers

Finite element model

Results and discussion

Debonding behavior of a double cantilever beam

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Prediction using matched and mismatched meshes for the two-dimensional DCB model

Case 2 Comparison using different mesh discretizations for the two-dimensional DCB model

Case 3 Theoretical and VCCT response prediction for the three-dimensional DCB model

Case 4 Using cohesive elements with VCCT debond to model crack initiation

Case 5 Using cohesive elements with VCCT debond to model Z-pins and stitches

Case 6 Fatigue prediction using the same model as in Case 1

Case 7 Fatigue prediction using the same model as in Case 3

Case 8 Comparison of the results obtained using VCCT, cohesive elements, and cohesive behavior

Case 9 Using VCCT in Abaqus/Explicit to model crack initiation

Debonding behavior of a single leg bending specimen

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Two-dimensional single leg bending model

Case 2 Three-dimensional single leg bending model

Case 3 Fatigue prediction using the same model as in Case 1

Case 4 Fatigue prediction using the same model as in Case 2

Case 5 Using VCCT in Abaqus/Explicit to model crack initiation

Postbuckling and growth of delaminations in composite panels

Application description

Abaqus modeling approaches and simulation techniques

Import analyses

Springback of two-dimensional draw bending

Problem description

Results and discussion

Deep drawing of a square box

Application description

Abaqus modeling approaches and simulation techniques

Case 1a: Explicit forming analysis using general contact

Case 1b: Explicit forming analysis using kinematic contact pairs

Case 1c: Explicit forming analysis using penalty contact pairs

Case 1d: Explicit forming analysis using general contact with a refined mesh

Case 1e: Explicit forming analysis using kinematic contact pairs with a refined mesh

Case 2a: Static springback analysis with no update of the reference configuration during import

Case 2b: Static springback analysis with update of the reference configuration during import

Case 2c: Static springback analysis using a refined mesh with update of the reference configuration during import

Case 3a: Static analysis of forming and springback using surface-to-surface contact

Case 3b: Static analysis of forming and springback using node-to-surface contact

Discussion of results and comparison of cases

Dynamic Stress/Displacement Analyses

Dynamic stress analyses

Nonlinear dynamic analysis of a structure with local inelastic collapse

Loading and solution control

Results and discussion

Detroit Edison pipe whip experiment

Geometry and model

Solution control

Results and discussion

Rigid projectile impacting eroding plate

Problem description

Results and discussion

Eroding projectile impacting eroding plate

Problem description

Results and discussion

Tennis racket and ball

Problem description

Results and discussion

Pressurized fuel tank with variable shell thickness

Geometry and model

Results and discussion

Modeling of an automobile suspension

Geometry and model

Results and discussion

Explosive pipe closure

Problem description

Results and discussion

Knee bolster impact with general contact

Problem description

Results and discussion

Crimp forming with general contact

Geometry and model

Analysis definition

Results and discussion

Collapse of a stack of blocks with general contact

Problem description

Results and discussion

Cask drop with foam impact limiter

Model description

Material description

Results and discussion

Oblique impact of a copper rod

Problem description

Adaptive meshing

Results and discussion

Water sloshing in a baffled tank

Problem description

Adaptive meshing

Results and discussion

Seismic analysis of a concrete gravity dam

Problem description

Material properties

Loading and solution control

Results and discussion

Progressive failure analysis of thin-wall aluminum extrusion under quasi-static and dynamic loads

Application description

Abaqus modeling approaches and simulation techniques

Discussion of results and comparison of cases

Impact analysis of a pawl-ratchet device

Application description

Abaqus modeling approaches and simulation techniques

High-velocity impact of a ceramic target

Application description

Abaqus modeling approaches and simulation techniques

Constitutive models for ceramic materials under high-velocity impact

Discussion of results and comparison of cases

Confined compression of multiple two-dimensional cylinders with different material properties

Application description

Abaqus modeling approaches and simulation techniques

Mode-based dynamic analyses

Analysis of a rotating fan using substructures and cyclic symmetry

Geometry and material

Results and discussion

Linear analysis of the Indian Point reactor feedwater line

Geometry and model

Substructure models

Results and discussion

Response spectra of a three-dimensional frame building

Geometry and model

Results and discussion

Brake squeal analysis

Problem description and model definition

Results and discussion

Acknowledgments

Dynamic analysis of antenna structure utilizing residual modes

Geometry and problem description

Results and discussion

Steady-state dynamic analysis of a vehicle body-in-white model

Application description

Abaqus modeling approaches and simulation techniques

Discussion of results and comparison of cases

Eulerian and co-simulation analyses

Application description

Abaqus modeling approaches and simulation techniques

Pure Lagrangian analysis case

CEL analysis case

Discussion of results and comparison of cases

Impact of a water-filled bottle

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Coupled Eulerian-Lagrangian analysis

Case 2 SPH analysis

Case 3 Finite element conversion to SPH particles analysis

Discussion of results and comparison of cases

Dynamic impact of a scooter with a bump

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Abaqus/Explicit reference analysis

Case 2 Co-simulation analysis using subcycling

Discussion of results and comparison of cases

Tire and Vehicle Analyses

Symmetric results transfer for a static tire analysis

Problem description

Model definition

Contact modeling

Solution controls

Results and discussion

Steady-state rolling analysis of a tire

Problem description and model definition

Results and discussion

Acknowledgments

Subspace-based steady-state dynamic tire analysis

Problem description

Model definition

Results and discussion

Steady-state dynamic analysis of a tire substructure

Problem description and model definition

Results and discussion

Coupled acoustic-structural analysis of a tire filled with air

Problem description

Model definition

Results and discussion

Import of a steady-state rolling tire

Problem description and model definition

Results and discussion

Analysis of a solid disc with Mullins effect and permanent set

Problem description

Calibration of material properties

Static response of a solid disc to cyclic deformation

Rolling response of a solid disc

Results and discussion

Tread wear simulation using adaptive meshing in Abaqus/Standard

Problem description and model definition

Results and discussion

Dynamic analysis of an air-filled tire with rolling transport effects

Problem description

Model definition

Results and discussion

Acoustics in a circular duct with flow

Problem description and model definition

Results and discussion

Vehicle analyses

Inertia relief in a pick-up truck

Problem description and model definition

Results and discussion

Substructure analysis of a pick-up truck model

Geometry and materials

Results and discussion

Display body analysis of a pick-up truck model

Geometry and materials

Results and discussion

Continuum modeling of automotive spot welds

Application description

Abaqus modeling approaches and simulation techniques

Discussion of results and comparison of cases

Occupant safety analyses

Seat belt analysis of a simplified crash dummy

Geometry and materials

Results and discussion

Side curtain airbag impactor test

Geometry and model

Results and discussion

Side curtain airbag analysis using the lumped kinetic molecular method

Application description

Abaqus modeling approaches and simulation techniques

Mechanism and Electromagnetic Analyses

Mechanism analyses

Resolving overconstraints in a multi-body mechanism model

Geometry and model

Loading and boundary conditions

Understanding overconstraint messages

Correcting the overconstrained model

Results and discussion

Crank mechanism

Problem description

Results and discussion

Snubber-arm mechanism

Geometry and model

Model interactions

Results and discussion

Geometry and model

Model interactions

Results and discussion

Tail-skid mechanism

Geometry and model

Model interaction

Results and discussion

Cylinder-cam mechanism

Geometry and model

Model interactions

Results and discussion

Driveshaft mechanism

Geometry and model

Model interactions

Results and discussion

Geneva mechanism

Geometry and model

Model interactions

Results and discussion

Trailing edge flap mechanism

Geometry and model

Model interactions

Results and discussion

Substructure analysis of a one-piston engine model

Geometry and material

Results and discussion

Application of bushing connectors in the analysis of a three-point linkage

Geometry and materials

Results and discussion

Gear assemblies

Application description

Abaqus modeling approaches and simulation techniques

Case 1: Spur gears

Case 2: Rack and pinion

Case 3: Screw gear

Discussion of results and comparison of cases

Electromagnetic analyses

Eigenvalue analysis of a piezoelectric transducer

Geometry and material

Results and discussion

Transient dynamic nonlinear response of a piezoelectric transducer

Geometry and material

Results and discussion

Thermal-electrical modeling of an automotive fuse

Problem description

Results and discussion

Acknowledgments

Heat Transfer and Thermal-Stress Analyses and Particle Methods

Heat transfer and thermal-stress analyses

Thermal-stress analysis of a disc brake

Geometry and model

Material properties

Solution controls (Abaqus/Standard only)

Results and discussion

A sequentially coupled thermomechanical analysis of a disc brake with an Eulerian approach

Geometry and model

Material properties

Problem description and loading

Solution controls

Results and discussion

Acknowledgements

Exhaust manifold assemblage

Geometry and model

Loading and boundary constraints

Results and discussion

Coolant manifold cover gasketed joint

Geometry and material

Loading and boundary constraints

Results and discussion

Conductive, convective, and radiative heat transfer in an exhaust manifold

Application description

Abaqus modeling approaches and simulation techniques

Discussion of results and comparison of cases

Coupled thermomechanical analysis of viscoelastic dampers

Application description

Abaqus modeling approaches and simulation techniques

Discussion of results and comparison of cases

Acknowledgements

Particle methods

Mixing of granular media in a drum mixer

Application description

Abaqus modeling approaches and simulation techniques

Case 1 Nonadhesive contact between limestone pellets

Case 2 Adhesive contact between polyethylene pellets

Discussion of results and comparison of cases

Additive Manufacturing Process Simulation

Sequential thermomechanical analysis of a laser powder bed fusion build

Application description

Abaqus modeling approaches and simulation techniques

Heat transfer analysis

Structural analysis

Discussion of results and comparison of cases

Acknowledgements

Sequential thermomechanical analysis of a directed energy deposition build

Application description

Abaqus modeling approaches and simulation techniques

Heat transfer analysis

Static structural analysis

Discussion of results and comparison of cases

Mass Diffusion and Soils Analyses

Mass diffusion analyses

Hydrogen diffusion in a vessel wall section

Problem description

Geometry and model

Results and discussion

Diffusion toward an elastic crack tip

Geometry and model

Results and discussion

Plane strain consolidation

Geometry and model

Results and discussion

Calculation of phreatic surface in an earth dam

Boundary conditions

Geometry and model

Loading and controls

Results and discussion

Axisymmetric simulation of an oil well

Geometry and model

Initial conditions

Results and discussion

Analysis of a pipeline buried in soil

Problem description

Reference solution

Results and discussion

Hydraulically induced fracture in a wellbore

Problem description

Geometry and model

Initial conditions

Loading and boundary conditions

Results and discussion

Permafrost thawing–pipeline interaction

Application description

Abaqus modeling approaches and simulation techniques

Acoustic and Shock and Abaqus/Aqua Analyses

Acoustic and shock analyses

Fully and sequentially coupled acoustic-structural analysis of a muffler

Full modeling vs. submodeling in Abaqus

Geometry and model

Results and discussion

Coupled acoustic-structural analysis of a speaker

Geometry and model

Results and discussion

Analysis of a speaker using Abaqus-Dymola co-simulation

Application description

Abaqus modeling approaches and simulation techniques

Case 1: White noise analysis

Case 2: Response fidelity analysis

Discussion of results and comparison of cases

Response of a submerged cylinder to an underwater explosion shock wave

Problem and geometry description

Abaqus/Explicit model

Fluid-structure coupling and shock wave loading

Results and discussion

Convergence studies for shock analyses using shell elements

Model description

Results and discussion

UNDEX analysis of a detailed submarine model

Problem and geometry description

Results and discussion

Coupled acoustic-structural analysis of a pick-up truck

Geometry and materials

Results and discussion

Long-duration response of a submerged cylinder to an underwater explosion

Problem and geometry description

Fluid-structure coupling and shock wave loading

Results and discussion

Deformation of a sandwich plate under CONWEP blast loading

Application description

Abaqus modeling approaches and simulation techniques

Cases 1–3: Solid plate with shell elements

Cases 4–6: Solid plate with 3D continuum elements

Cases 7–9: Sandwich plate structure

Additional cases

Discussion of results and comparison of cases

Abaqus/Aqua analyses

Jack-up foundation analyses

Geometry and model

Boundary conditions and loading

Results and discussion

Geometry and model

Boundary conditions

Results and discussion

Design Sensitivity Analyses

Design sensitivity analysis of a composite centrifuge

Geometry and model

Design parameters and normalization

Results and discussion

Design sensitivities for tire inflation, footprint, and natural frequency analysis

Geometry and model

Perturbation sizes for the finite differencing operations

Normalization of sensitivity results

Results and discussion

Design sensitivity analysis of a windshield wiper

Geometry, model properties, and design parameters

Loading, boundary conditions, and design responses

Results and discussion

Design sensitivity analysis of a rubber bushing

Geometry, model properties, and design parameters

Design sensitivity analysis and design parameters

Results and discussion

Postprocessing of Abaqus Results

About user postprocessing of Abaqus results files

Data processing

Postprocessing examples

Joining data from multiple results files and converting file format: FJOIN

Programming details

Program compilation and linking

Program execution

Analysis description

Results and discussion

Calculation of principal stresses and strains and their directions: FPRIN

General description

Programming details

Program compilation and linking

Program execution

Results and discussion

Creation of a perturbed mesh from original coordinate data and eigenvectors: FPERT

General description

Programming details

Program compilation and linking

Program execution

Analysis description

Results and discussion

Output radiation view factors and facet areas: FRAD

General description

Programming details

Program compilation and linking

Program execution

Results and discussion

Creation of a data file to facilitate the postprocessing of elbow element results: FELBOW

General description

Programming details

Program compilation and linking

Program execution

Results and discussion

Abaqus/Standard

Abaqus/Aqua analyses

Acoustic and shock analyses

Buckling and collapse analyses

Design sensitivities for tire inflation, footprint, and natural frequency analysis

Design sensitivity analysis of a composite centrifuge

Design sensitivity analysis of a rubber bushing

Design sensitivity analysis of a windshield wiper

Dynamic stress analyses

Electromagnetic analyses

Eulerian and co-simulation analyses

Forming analyses

Fracture and damage

Heat transfer and thermal-stress analyses

Import analyses

Mass diffusion analyses

Mechanism analyses

Mode-based dynamic analyses

Postprocessing examples

Sequential thermomechanical analysis of a directed energy deposition build

Sequential thermomechanical analysis of a laser powder bed fusion build

Static and quasi-static stress analyses

Vehicle analyses

Abaqus/Explicit

Acoustic and shock analyses

Buckling and collapse analyses

Dynamic stress analyses

Eulerian and co-simulation analyses

Forming analyses

Fracture and damage

Heat transfer and thermal-stress analyses

Import analyses

Mechanism analyses

Occupant safety analyses

Particle methods and fluid dynamics

Postprocessing examples

Static and quasi-static stress analyses

Vehicle analyses

Mode-based dynamic analyses

Abaqus/Aqua analyses

Design sensitivities for tire inflation, footprint, and natural frequency analysis

Design sensitivity analysis of a composite centrifuge

Design sensitivity analysis of a rubber bushing

Design sensitivity analysis of a windshield wiper

Static and quasi-static stress analyses