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Abaqus Benchmarks Guide

Static stress/displacement analysis

Beam/gap example

Problem description

Results and discussion

Analysis of an anisotropic layered plate

Problem description

Failure measures

Results and discussion

Composite shells in cylindrical bending

Problem description

Failure measures

Results and discussion

Thick composite cylinder subjected to internal pressure

Problem description

Geometry and model

Results and discussion

Uniform collapse of straight and curved pipe segments

Problem description

Constraints and boundary conditions for the shell element model

Results and discussion

Snap-through of a shallow, cylindrical roof under a point load

Problem description

Modeling and solution control

Results and discussion

Pressurized rubber disc

Problem description

Loading and solution method

Results and discussion

Uniaxial stretching of an elastic sheet with a circular hole

Problem description

Loading and controls

Results and discussion

Necking of a round tensile bar

Problem description

Results and discussion

Concrete slump test

Problem description

Material parameters

Solution controls in Abaqus/Standard

Results and discussion

The Hertz contact problem

Problem description

Contact modeling

Substructure Abaqus/Standard model

Results and discussion

Dynamic analysis in Abaqus/Standard

Crushing of a pipe

Problem description

Results and discussion

Radial stretching of a cylinder

Problem description

Results and discussion

Buckling analysis

Buckling analysis of beams

Problem description

Results and discussion

Buckling of a ring in a plane under external pressure

Problem description

Eigenvalue buckling load estimates

Results and discussion

Buckling of a cylindrical shell under uniform axial pressure

Problem description

Analysis procedure

Eigenvalue buckling prediction

Load-displacement analysis on imperfect geometries

Results and discussion

Buckling of a simply supported square plate

Problem description

Eigenvalue buckling prediction

Load-displacement studies on imperfect geometries

Results and discussion

Lateral buckling of an L-bracket

Problem description

Results and discussion

Buckling of a column with general contact

Problem description

Results and discussion

Dynamic stress/displacement analysis

Subspace dynamic analysis of a cantilever beam

Problem description

Results and discussion

Double cantilever elastic beam under point load

Problem description

Results and discussion

Explosively loaded cylindrical panel

Problem description

Controls and tolerances

Results and discussion

Free ring under initial velocity: comparison of rate-independent and rate-dependent plasticity

Problem description

Initial nodal velocities

Solution controls in Abaqus/Standard

Results and discussion

Large rotation of a one degree of freedom system

Problem description

Exact solution: truss model

Exact solution: spring model

Results and discussion

Motion of a rigid body in Abaqus/Standard

Force-free motion of a rigid body

Forced motion of a rigid body

Rigid body dynamics with Abaqus/Explicit

Problem description

Results and discussion

Revolute MPC verification: rotation of a crank

Problem description

Results and discussion

Pipe whip simulation

Problem description

Results and discussion

Impact of a copper rod

Problem description

Results and discussion

Frictional braking of a rotating rigid body

Problem description

Results and discussion

Compression of cylindrical shells with general contact

Problem description

Results and discussion

Steady-state slip of a belt drive

Problem description

Results and discussion

Crash simulation of a motor vehicle

Problem description

Controls and tolerances

Results and discussion

Truss impact on a rigid wall

Problem description

Results and discussion

Plate penetration by a projectile

Problem description

Results and discussion

Oblique shock reflections

Problem description

Adaptive meshing

Results and discussion

Mode-based dynamic analysis

Free vibrations of a spherical shell

Problem description

Analytical solution

Results and discussion

Eigenvalue analysis of a beam under various end constraints and loadings

Problem description

Boundary conditions and loadings

Results and discussion

Vibration of a cable under tension

Problem description

Results and discussion

Free and forced vibrations with damping

Problem description

Results and discussion

Verification of Rayleigh damping options with direct integration and modal superposition

Problem description

Results and discussion

Eigenvalue analysis of a cantilever plate

Problem description

Results and discussion

Vibration of a rotating cantilever plate

Problem description

Substructure analysis

Results and discussion

Response spectrum analysis of a simply supported beam

Problem description

Response spectra definition

Results and discussion

Linear analysis of a rod under dynamic loading

Problem description

Eigenvalue calculations

Modal dynamic analysis

Response spectrum analysis

Steady-state analysis

Random response analysis

Results and discussion

Random response to jet noise excitation

Problem description

Loading via user subroutines

Results and discussion

Random response of a cantilever subjected to base motion

Problem description

Results and discussion

Double cantilever subjected to multiple base motions

Problem description

Results and discussion

Analysis of a cantilever subject to earthquake motion

Problem description

Time domain analysis

Response spectrum analysis

Results and discussion

Residual modes for modal response analysis

Problem description

Results and discussion

Steady-state transport analysis

Steady-state transport analysis

Frictional effects

Inertia effects

Material convection effects

Steady-state spinning of a disk in contact with a foundation

Problem description

Results and discussion

Heat transfer and thermal-stress analysis

Convection and diffusion of a temperature pulse

Problem description

Results and discussion

Freezing of a square solid: the two-dimensional Stefan problem

Problem description

Boundary conditions

Time increment controls

Results and discussion

Coupled temperature-displacement analysis: one-dimensional gap conductance and radiation

Problem description

Results and discussion

Quenching of an infinite plate

Problem description

Analysis sequence

Results and discussion

Two-dimensional elemental cavity radiation view factor calculations

Two infinitely long, directly opposed parallel plates of the same finite width

Two infinitely long parallel plates of different widths; the centerlines of each plate are connected by the perpendicular between the plates

Two infinitely long plates of unequal widths h and w, having one common edge and at an angle of 90° to each other

Two infinitely long plates of equal finite width w, having one common edge and having an included angle of α to each other

Axisymmetric elemental cavity radiation view factor calculations

Parallel circular disks with centers along the same normal

Two concentric cylinders of same finite length

Concentric cylinders of infinite length

Coaxial right circular cylinders of different radii, one on top of the other

Three-dimensional elemental cavity radiation view factor calculations

Identical, directly opposed parallel rectangles

Two infinitely long, directly opposed parallel plates of the same finite width

Coaxial parallel squares of different sizes

Two infinitely long parallel plates of different widths; the centerlines of each plate are connected by the perpendicular between the plates

Two finite rectangles of the same length, having one common edge and at an angle of 90° to each other

Two infinitely long plates of unequal widths h and w, having one common edge and at an angle of 90° to each other

Two rectangles with one common edge and an included angle of Φ

Rectangles having a common edge and forming an arbitrary angle; one rectangle is infinitely long

Two infinitely long plates of equal finite width w, having one common edge and having an included angle of α to each other

Radiation analysis of a plane finned surface

Problem description

Material and boundary conditions

Results and discussion

Eulerian analysis

Eulerian analysis of a collapsing water column

Problem description

Results and discussion

Deflection of an elastic dam under water pressure

Problem description

Results and discussion

Electromagnetic analysis

Eigenvalue analysis of a piezoelectric cube with various electrode configurations

Problem description

Results and discussion

Modal dynamic analysis for piezoelectric materials

Problem description

Results and discussion

Steady-state dynamic analysis for piezoelectric materials

Problem description

Results and discussion

TEAM 2: Eddy current simulations of long cylindrical conductors in an oscillating magnetic field

Problem description

Model and boundary conditions

Analytical solution

Results and discussion

TEAM 4: Eddy current simulation of a conducting brick in a decaying magnetic field

Problem description

Model and boundary conditions

Results and discussion

TEAM 6: Eddy current simulations for spherical conductors in an oscillating magnetic field

Problem description

Model and boundary conditions

Analytical solution

Results and discussion

TEAM 13: Three-dimensional nonlinear magnetostatic analysis

Problem description

Model and boundary conditions

Results and discussion

Induction heating of a cylindrical rod by an encircling coil carrying time-harmonic current

Problem description

Model and boundary conditions

Analytical solution

Results and discussion

Coupled pore fluid flow and stress analysis

Partially saturated flow in a porous medium

Problem description

Loading and controls

Results and discussion

Demand wettability of a porous medium: coupled analysis

Problem description

Loading and controls

Results and discussion

Wicking in a partially saturated porous medium

Problem description

Loading and controls

Results and discussion

Desaturation in a column of porous material

Problem description

Loading and controls

Results and discussion

Substructures and mass diffusion analysis

Analysis of a frame using substructures

Problem description

One-level substructure analysis

Multilevel substructure analysis

Substructure rotation and mirroring

Results and discussion

Thermomechanical diffusion of hydrogen in a bending beam

Problem description

Results and discussion

Acoustic analysis

A simple coupled acoustic-structural analysis

Problem description

Steady-state vibration

Results and discussion

Analysis of a point-loaded, fluid-filled, spherical shell

Problem description

Results and discussion

Acoustic radiation impedance of a sphere in breathing mode

Problem description

Results and discussion

Acoustic-structural interaction in an infinite acoustic medium

Problem description

Results and discussion

Acoustic-acoustic tie constraint in two dimensions

Problem description

Results and discussion

Acoustic-acoustic tie constraint in three dimensions

Problem description

Results and discussion

A simple steady-state dynamic acoustic analysis

Problem description

Results and discussion

Acoustic analysis of a duct with mean flow

Problem description

Results and discussion

Real exterior acoustic eigenanalysis

Problem description

Results and discussion

Coupled exterior acoustic eigenanalysis

Problem description

Results and discussion

Acoustic scattering from a rigid sphere

Problem description

Results and discussion

Acoustic scattering from an elastic spherical shell

Problem description

Results and discussion

Adaptivity analysis

Indentation with different materials

Problem description

Adaptive meshing

Results and discussion

Wave propagation with different materials

Problem description

Results and discussion

Adaptivity patch test with different materials

Problem description

Results and discussion

Wave propagation in a shock tube

Problem description

Results and discussion

Propagation of a compaction wave in a shock tube

Problem description

Results and discussion

Advection in a rotating frame

Problem description

Results and discussion

Water sloshing in a pitching tank

Problem description

Adaptive meshing

Results and discussion

Abaqus/Aqua analysis

Pull-in of a pipeline lying directly on the seafloor

Problem description

Seafloor modeling

Boundary conditions

Results and discussion

Near bottom pipeline pull-in and tow

Problem description

Boundary conditions

Results and discussion

Slender pipe subject to drag: the “reed in the wind”

Problem description

Results and discussion

Underwater shock analysis

One-dimensional underwater shock analysis

Underwater shock impinging on a one-dimensional continuum

Underwater shock impinging on a one-dimensional plate

The submerged sphere problem

Problem description

Results and discussion

The submerged infinite cylinder problem

Infinite cylindrical shell in an infinite fluid

Infinite cylindrical shell with bottom reflection

The one-dimensional cavitation problem

Problem description

Results and discussion

Plate response to a planar exponentially decaying shock wave

Problem description

Results and discussion

Cylindrical shell response to a planar step shock wave

Problem description

Results and discussion

Cylindrical shell response to a planar exponentially decaying shock wave

Problem description

Results and discussion

Spherical shell response to a planar step wave

Problem description

Results and discussion

Spherical shell response to a planar exponentially decaying wave

Problem description

Results and discussion

Spherical shell response to a spherical exponentially decaying wave

Problem description

Results and discussion

Air-backed coupled plate response to a planar exponentially decaying wave

Problem description

Results and discussion

Water-backed coupled plate response to a planar exponentially decaying wave

Problem description

Results and discussion

Coupled cylindrical shell response to a planar step wave

Problem description

Results and discussion

Coupled spherical shell response to a planar step wave

Problem description

Results and discussion

Fluid-filled spherical shell response to a planar step wave

Problem description

Results and discussion

Response of beam elements to a planar wave

Problem description

Results and discussion

The Terzaghi consolidation problem

Problem description

Geometry and models

Results and discussion

Consolidation of a triaxial test specimen

Problem description

Initial conditions

Results and discussion

Finite-strain consolidation of a two-dimensional solid

Problem description

Loading and time stepping

Results and discussion

Limit load calculations with granular materials

Problem description

Loading and controls

Results and discussion

Finite deformation of an elastic-plastic granular material

Problem description

Results and discussion

The one-dimensional thermal consolidation problem

Problem description

Results and discussion

Consolidation around a cylindrical heat source

Problem description

Geometry and models

Analytical solution

Results and discussion

Fracture mechanics

Contour integral evaluation: two-dimensional case

Problem description

Geometry and model

Results and discussion

Submodeling around the crack tip

Contour integral evaluation: three-dimensional case

Problem description

Results and discussion

Center slant cracked plate under tension

Problem description

Results and discussion

A penny-shaped crack under concentrated forces

Problem description

Results and discussion

Fully plastic J-integral evaluation

Problem description

Solution development

Results and discussion

Submodeling of the crack tip

Ct-integral evaluation

Problem description

Results and discussion

Nonuniform crack-face loading and J-integrals

Problem description

Results and discussion

Single-edged notched specimen under a thermal load

Problem description

Results and discussion

Design sensitivity analysis

Design sensitivity analysis for cantilever beam

Problem description

Results and discussion

Sensitivity of the stress concentration factor around a circular hole in a plate under uniaxial tension

Problem description

Results and discussion

Sensitivity analysis of modified NAFEMS problem 3DNLG-1: Large deflection of Z-shaped cantilever under an end load

Problem description

Results and discussion

Modeling discontinuities using XFEM

Crack propagation of a single-edge notch simulated using XFEM

Problem description

Results and discussion

Crack propagation in a plate with a hole simulated using XFEM

Problem description

Results and discussion

Crack propagation in a beam under impact loading simulated using XFEM

Problem description

Results and discussion

Dynamic shear failure of a single-edge notch simulated using XFEM

Problem description

Results and discussion

Propagation of hydraulically driven fracture using XFEM

Problem description

Results and discussion

Continuum elements

Torsion of a hollow cylinder

Problem description

Results and discussion

Geometrically nonlinear analysis of a cantilever beam

Problem description

Results and discussion

Cantilever beam analyzed with CAXA and SAXA elements

Problem description

Loading and boundary conditions

Results and discussion

Two-point bending of a pipe due to self weight: CAXA and SAXA elements

Problem description

Reference solution

Results and discussion

Cook's membrane problem

Problem description

Results and discussion

Infinite elements

Wave propagation in an infinite medium

Problem description

Results and discussion

Infinite elements: the Boussinesq and Flamant problems

Problem description

Results and discussion

Infinite elements: circular load on half-space

Problem description

Results and discussion

Spherical cavity in an infinite medium

Problem description

Results and discussion

Structural elements

The barrel vault roof problem

Problem description

Results and discussion

The pinched cylinder problem

Problem description

Results and discussion

Parametric study using the Abaqus parametric study capability

The pinched sphere problem

Problem description

Results and discussion

Skew sensitivity of shell elements

Problem description

Results and discussion

Parametric study using a parametric study script

Performance of continuum and shell elements for linear analysis of bending problems

Problem description

Geometry and models

Results and discussion

Additional modeling considerations

Further examples

Tip in-plane shear load on a cantilevered hook

Problem description

Results and discussion

Analysis of a twisted beam

Problem description

Results and discussion

Twisted ribbon test for shells

Problem description

Results and discussion

Ribbon test for shells with applied moments

Problem description

Results and discussion

Triangular plate-bending on three point supports

Problem description

Results and discussion

Shell elements subjected to uniform thermal loading

Problem description

Material properties

Analytical solution

Results and discussion

Shell bending under a tip load

Problem description

Results and discussion

Variable thickness shells and membranes

Problem description

Results and discussion

Transient response of a shallow spherical cap

Problem description

Results and discussion

Simulation of propeller rotation

Problem description

Results and discussion

Connector elements

Dynamic response of a two degree of freedom system

Problem description

Results and discussion

Linear behavior of spring and dashpot elements

Problem description

Analytical solutions

Results and discussion

Special-purpose elements

Acoustic modes of an enclosed cavity

Problem description

Results and discussion

Fluid filled rubber bladders

Problem description

Results and discussion

Delamination analysis of laminated composites

Problem description

Geometry and model

Results and discussion

Viscoelastic rod subjected to constant axial load

Problem description

Results and discussion

Transient thermal loading of a viscoelastic slab

Problem description

Results and discussion

Uniform strain, viscoplastic truss

Problem description

Results and discussion

Fitting of rubber test data

Problem description

Specification of material data

Experimental data of Treloar

Fitting procedures

Results and discussion

Fitting of elastomeric foam test data

Problem description

Fitting procedure

Results and discussion

Rubber under uniaxial tension

Problem description

Results and discussion

Anisotropic hyperelastic modeling of arterial layers

Problem description

Loading and controls

Results and discussion

Plasticity and creep

Uniformly loaded, elastic-plastic plate

Problem description

Model and loading

Results and discussion

Test of ORNL plasticity theory under biaxial loading

Problem description

Biaxial loading

“Exact” solution

Results and discussion

One-way reinforced concrete slab

Problem description

Solution control parameters and loading

Results and discussion

Triaxial tests on a saturated clay

Problem description

Results and discussion

Uniaxial tests on jointed material

Problem description

Results and discussion

Verification of creep integration

Problem description

Solution control

Exact solutions

Results and discussion

Simple tests on a crushable foam specimen

Problem description

Calibration of material parameters

Results and discussion

Simple proportional and nonproportional cyclic tests

Problem description

Calibration of the model

Results and discussion

Biaxial tests on gray cast iron

Problem description

Material parameters

Results and discussion

Indentation of a crushable foam plate

Problem description

Contact interaction

Loading and controls

Results and discussion

Notched unreinforced concrete beam under 3-point bending

Problem description

Solution control

Results and discussion

Mixed-mode failure of a notched unreinforced concrete beam

Problem description

Loading and solution control

Results and discussion

Slider mechanism with slip-rate-dependent friction

Problem description

Results and discussion

Cylinder under internal pressure

Problem description

Results and discussion

Creep of a thick cylinder under internal pressure

Problem description

Loading and control

Results and discussion

Pressurization of a thick-walled cylinder

Problem description

Results and discussion

Stretching of a plate with a hole

Problem description

Results and discussion

Pressure on infinite geostatic medium

Problem description

Results and discussion

NAFEMS Benchmarks

Standard benchmarks: linear elastic tests

LE1: Plane stress elements—elliptic membrane

Elements tested

Problem description

Reference solution

Results and discussion

LE2: Cylindrical shell bending patch test

Elements tested

Problem description

Reference solution

Results and discussion

LE3: Hemispherical shell with point loads

Elements tested

Problem description

Reference solution

Results and discussion

LE4: Axisymmetric hyperbolic shell under uniform internal pressure

Elements tested

Problem description

Reference solution

Results and discussion

LE5: Z-section cantilever

Elements tested

Problem description

Reference solution

Results and discussion

LE6: Skew plate under normal pressure

Elements tested

Problem description

Reference solution

Results and discussion

LE7: Axisymmetric cylinder/sphere under pressure

Elements tested

Problem description

Reference solution

Results and discussion

LE8: Axisymmetric shell under pressure

Elements tested

Problem description

Reference solution

Results and discussion

LE9: Axisymmetric branched shell under pressure

Elements tested

Problem description

Reference solution

Results and discussion

LE10: Thick plate under pressure

Elements tested

Problem description

Reference solution

Results and discussion

LE11: Solid cylinder/taper/sphere—temperature loading

Elements tested

Problem description

Reference solution

Results and discussion

Standard benchmarks: linear thermoelastic tests

T1: Plane stress elements—membrane with hot-spot

Elements tested

Problem description

Reference solution

Results and discussion

T2: One-dimensional heat transfer with radiation

Elements tested

Problem description

Reference solution

Results and discussion

T3: One-dimensional transient heat transfer

Elements tested

Problem description

Reference solution

Results and discussion

T4: Two-dimensional heat transfer with convection

Elements tested

Problem description

Reference solution

Results and discussion

Standard benchmarks: free vibration tests

FV2: Pin-ended double cross: in-plane vibration

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

FV4: Cantilever with off-center point masses

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

FV12: Free thin square plate

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus (for element type S4R5)

Results and discussion

FV15: Clamped thin rhombic plate

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

FV16: Cantilevered thin square plate

Elements tested

Problem description

Reference solution

Results and discussion

FV22: Clamped thick rhombic plate

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

FV32: Cantilevered tapered membrane

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus (for element type CPS4)

Results and discussion

FV41: Free cylinder: axisymmetric vibration

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

FV42: Thick hollow sphere: uniform radial vibration

Elements tested

Problem description

Reference solution

Radial displacement; Mode shapes predicted by Abaqus (for element type CAX8)

Results and discussion

FV52: Simply supported “solid” square plate

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus (for element type C3D8I)

Results and discussion

Proposed forced vibration benchmarks

Test 5: Deep simply supported beam: frequency extraction

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

Test 5H: Deep simply supported beam: harmonic forced vibration

Elements tested

Problem description

Reference solution

Response predicted by Abaqus

Results and discussion

Test 5T: Deep simply supported beam: transient forced vibration

Elements tested

Problem description

Reference solution

Response predicted by Abaqus/Standard

Response predicted by Abaqus/Explicit

Results and discussion

Test 5R: Deep simply supported beam: random forced vibration

Elements tested

Problem description

Reference solution

Results and discussion

Test 13: Simply supported thin square plate: frequency extraction

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus

Results and discussion

Test 13H: Simply supported thin square plate: harmonic forced vibration

Elements tested

Problem description

Reference solution

Response predicted by Abaqus

Results and discussion

Test 13T: Simply supported thin square plate: transient forced vibration

Elements tested

Problem description

Reference solution

Response predicted by Abaqus/Standard

Response predicted by Abaqus/Explicit

Results and discussion

Test 13R: Simply supported thin square plate: random forced vibration

Elements tested

Problem description

Reference solution

Results and discussion

Test 21: Simply supported thick square plate: frequency extraction

Elements tested

Problem description

Reference solution

Mode shapes predicted by Abaqus (for element type S4R5)

Results and discussion

Test 21H: Simply supported thick square plate: harmonic forced vibration

Elements tested

Problem description

Reference solution

Response predicted by Abaqus

Results and discussion

Test 21T: Simply supported thick square plate: transient forced vibration

Elements tested

Problem description

Reference solution

Response predicted by Abaqus/Standard

Response predicted by Abaqus/Explicit

Results and discussion

Test 21R: Simply supported thick square plate: random forced vibration

Elements tested

Problem description

Reference solution

Results and discussion

Proposed nonlinear benchmarks

NL1: Prescribed biaxial strain history, plane strain

Elements tested

Problem description

Reference solution

Results and discussion

NL2: Axisymmetric thick cylinder

Elements tested

Problem description

Reference solution

Results and discussion

NL3: Hardening with two variables under load control

Elements tested

Problem description

Reference solution

Results and discussion

NL4: Snap-back under displacement control

Elements tested

Problem description

Reference solution

Results and discussion

NL5: Straight cantilever with end moment

Elements tested

Problem description

Reference solution

Results and discussion

NL6: Straight cantilever with axial end point load

Elements tested

Problem description

Reference solution

Results and discussion

NL7: Lee's frame buckling problem

Elements tested

Problem description

Reference solution

Results and discussion

Two-dimensional test cases in linear elastic fracture mechanics

Test 1.1: Center cracked plate in tension

Elements tested

Problem description

Reference solution

Results and discussion

Test 1.2: Center cracked plate with thermal load

Elements tested

Problem description

Reference solution

Results and discussion

Test 2.1: Single edge cracked plate in tension

Elements tested

Problem description

Reference solution

Results and discussion

Test 3: Angle crack embedded in a plate

Elements tested

Problem description

Reference solution

Results and discussion

Test 4: Cracks at a hole in a plate

Elements tested

Problem description

Reference solution

Results and discussion

Test 5: Axisymmetric crack in a bar

Elements tested

Problem description

Reference solution

Results and discussion

Test 6: Compact tension specimen

Elements tested

Problem description

Reference solution

Results and discussion

Test 7.1: T-joint weld attachment

Elements tested

Problem description

Reference solution

Results and discussion

Test 8.1: V-notch specimen in tension

Elements tested

Problem description

Reference solution

Results and discussion

Fundamental tests of creep behavior

Test 1A: 2D plane stress – uniaxial load, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 1B: 2D plane stress – uniaxial displacement, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 2A: 2D plane stress – biaxial load, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 2B: 2D plane stress – biaxial displacement, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 3A: 2D plane stress – biaxial (negative) load, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 3B: 2D plane stress – biaxial (negative) displacement, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 4A: 2D plane stress – biaxial (double) load, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 4B: 2D plane stress – biaxial (double) displacement, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 4C: 2D plane stress – shear loading, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 5A: 2D plane strain – biaxial load, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 5B: 2D plane strain – biaxial displacement, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 6A: 3D – triaxial load, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 6B: 3D – triaxial displacement, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 7: Axisymmetric – pressurized cylinder, secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 8A: 2D plane stress – uniaxial load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 8B: 2D plane stress – uniaxial displacement, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 8C: 2D plane stress – stepped load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 9A: 2D plane stress – biaxial load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 9B: 2D plane stress – biaxial displacement, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 9C: 2D plane stress – biaxial stepped load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 10A: 2D plane stress – biaxial (negative) load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 10B: 2D plane stress – biaxial (negative) displacement, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 10C: 2D plane stress – biaxial (negative) stepped load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 11: 3D – triaxial load, primary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 12A: 2D plane stress – uniaxial load, primary-secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 12B: 2D plane stress – uniaxial displacement, primary-secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Test 12C: 2D plane stress – stepped load, primary-secondary creep

Elements tested

Problem description

Reference solution

Results and discussion

Composite tests

R0031(1): Laminated strip under three-point bending

Elements tested

Problem description

Reference solution

Results and discussion

R0031(2): Wrapped thick cylinder under pressure and thermal loading

Elements tested

Problem description

Reference solution

Results and discussion

R0031(3): Three-layer sandwich shell under normal pressure loading

Elements tested

Problem description

Reference solution

Results and discussion

Geometric nonlinear tests

3DNLG-1: Elastic large deflection response of a Z-shaped cantilever under an end load

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus (element B32)

3DNLG-2: Elastic large deflection response of a pear-shaped cylinder under end shortening

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus (element S8R5)

3DNLG-3: Elastic lateral buckling of a right angle frame under in-plane end moments

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus (element B32)

3DNLG-4: Lateral torsional buckling of an elastic cantilever subjected to a transverse end load

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus

3DNLG-5: Large deflection of a curved elastic cantilever under transverse end load

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus (element B31)

3DNLG-6: Buckling of a flat plate when subjected to in-plane shear

Elements tested

Problem description

Reference solution

Results and discussion

3DNLG-7: Elastic large deflection response of a hinged spherical shell under pressure loading

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus

3DNLG-8: Collapse of a straight pipe segment under pure bending

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus

3DNLG-9: Large elastic deflection of a pinched hemispherical shell

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus

3DNLG-10: Elastic-plastic behavior of a stiffened cylindrical panel under compressive end load

Elements tested

Problem description

Reference solution

Results and discussion

Response predicted by Abaqus

Abaqus/Standard

Abaqus/Aqua analysis

Acoustic analysis

Buckling analysis

Composite tests

Connector elements

Continuum elements

Coupled pore fluid flow and stress analysis

Design sensitivity analysis

Dynamic stress/displacement analysis

Electromagnetic analysis

Fracture mechanics

Fundamental tests of creep behavior

Geometric nonlinear tests

Heat transfer and thermal-stress analysis

Infinite elements

Mode-based dynamic analysis

Modeling discontinuities using XFEM

Plasticity and creep

Proposed forced vibration benchmarks

Proposed nonlinear benchmarks

Special-purpose elements

Standard benchmarks: free vibration tests

Standard benchmarks: linear elastic tests

Standard benchmarks: linear thermo-elastic tests

Static stress/displacement analysis

Steady-state transport analysis

Structural elements

Substructures and mass diffusion analysis

Two-dimensional test cases in linear elastic fracture mechanics

Underwater shock analysis

Abaqus/Explicit

Acoustic analysis

Adaptivity analysis

Buckling analysis

Composite tests

Dynamic stress/displacement analysis

Eulerian analysis

Heat transfer and thermal-stress analysis

Infinite elements

Plasticity and creep

Proposed forced vibration benchmarks

Special-purpose elements

Standard benchmarks: linear elastic tests

Standard benchmarks: linear thermo-elastic tests

Static stress/displacement analysis

Structural elements

Underwater shock analysis

Abaqus/Aqua analysis

Design sensitivity analysis