Product: ABAQUS/Design
CPE3 CPE3H CPE4 CPE4H CPE4H CPE4I CPE4IH CPE4R CPE4RH CPE6 CPE6H CPE6M CPE6MH CPE8 CPE8H CPE8R CPE8RH
CPS3 CPS4 CPS4I CPS4R CPS6 CPS6M CPS8 CPS8R
CPEG3 CPEG3H CPEG4 CPEG4H CPEG4I CPEG4IH CPEG4R CPEG4RH CPEG6 CPEG8 CPEG8H CPEG8R CPEG8RH
C3D4 C3D4H C3D6 C3D6H C3D8 C3D8H C3D8I C3D8IH C3D8R C3D8RH C3D10 C3D10H C3D10M C3D10MH C3D15 C3D15H C3D20 C3D20H C3D20R C3D15V C3D15VH C3D27 C3D27H C3D27R C3D27RH
CAX3 CAX3H CAX4 CAX4H CAX4I CAX4IH CAX4R CAX4RH CAX6 CAX6H CAX6M CAX6MH CAX8 CAX8H CAX8R CAX8RH
This section includes a general set of simple tests to verify the design sensitivity analysis (DSA) technique for stress/displacement continuum elements for static steps. Geometrically linear and nonlinear tests are done for both total and incremental DSA formulations. In addition, selected problems also test static perturbation steps and frequency steps. A full range of design parameters is used, including those related to sizing (e.g., material properties, thickness) and shape (i.e., nodal coordinates). The results verified are primarily displacement sensitivities for static steps and eigenvalue sensitivities for frequency steps.
All problems are one- or two-element models with elastic or hyperelastic material properties. The models are fixed at one end and loaded using displacements, point loads, or distributed loads at the opposite end. At least one material property and one nodal coordinate are used as design parameters for each test; a sizing parameter, such as thickness, is also used as a design parameter if appropriate for the particular model.
All sensitivity results are verified by comparison to hand calculations or to overall finite difference results.
Total DSA with plane strain stress/displacement elements.
Incremental DSA with plane strain stress/displacement elements.
Total DSA with plane stress stress/displacement elements.
Incremental DSA with plane stress stress/displacement elements.
Total DSA with generalized plane strain stress/displacement elements.
Incremental DSA with generalized plane strain stress/displacement elements.
Total DSA with three-dimensional stress/displacement continuum elements.
Incremental DSA with three-dimensional stress/displacement continuum elements; includes frequency step.
Total DSA with axisymmetric stress/displacement continuum elements; includes frequency step.
Incremental DSA with axisymmetric stress/displacement continuum elements.
Total DSA with axisymmetric stress/displacement elements with twist.
Incremental DSA with axisymmetric stress/displacement elements with twist.
B21 B21H B22 B22H B23 B23H B31 B31H B31OS B31OSH
B32 B32H B32OS B32OSH B33 B33H
M3D3 M3D4 M3D4R M3D6 M3D8 M3D8R M3D9 M3D9R
MAX1 MAX2 MGAX1 MGAX2
S4R S4R5 S4 S3R STRI3 S8R S8R5 S9R5 STRI65
SAX1 SAX2 SAXA14 SAXA24
This section includes a general set of simple tests to verify the design sensitivity analysis (DSA) technique for membrane and shell elements. Geometrically linear and nonlinear tests are done for both total and incremental DSA formulations. A full range of design parameters is used, including those related to sizing (e.g., material properties, thickness) and shape (i.e., nodal coordinates). All problems test static steps, and some selected problems also test frequency steps.
All problems are two-element models with elastic or composite material properties. The models are fixed at one end and loaded using displacements, point loads, or distributed loads at the opposite end. At least one material property and one nodal coordinate are used as design parameters for each test; a sizing parameter, such as thickness, is also used as a design parameter if appropriate for the particular model.
All sensitivity results are verified by comparison to hand calculations or to overall finite difference results.
Total DSA with truss elements.
Incremental DSA with truss elements; includes frequency step.
Total DSA with membrane elements.
Incremental DSA with membrane elements; includes frequency step.
Total DSA with axisymmetric membrane elements.
Incremental DSA with axisymmetric membrane elements.
Total DSA with axisymmetric membrane elements with twist.
Incremental DSA with axisymmetric membrane elements with twist.
Incremental DSA with beam elements.
Total DSA with shell elements; includes frequency step.
Incremental DSA with shell elements; includes frequency step.
Total DSA with axisymmetric shell elements; includes frequency step.
Incremental DSA with axisymmetric shell elements.
Total DSA with axisymmetric shell elements with asymmetric deformations.
Incremental DSA with axisymmetric shell elements with asymmetric deformations.
Total DSA with beam elements.
GK2D2 GK2D2N GKPS4 GKPS4N GKPS6 GKPS6N GKAX2 GKAX2N GKAX4
GKAX4N GKAX6 GKAX6N GKPE4 GKPE6
GK3D2 GK3D2N GK3D4L GK3D4LN GK3D8 GK3D8N GK3D6 GK3D6N
This section includes a general set of simple tests to verify the design sensitivity analysis (DSA) technique for gasket elements. Geometrically nonlinear tests are done for both total and incremental DSA formulations.
All problems are static problems with gaskets sandwiched between continuum elements. The design parameters chosen govern the gasket section properties.
The results are verified by comparing them with the results from the overall finite difference method.
Incremental DSA with two-dimensional gasket elements.
Total DSA with two-dimensional gasket elements.
Incremental DSA with three-dimensional gasket elements.
Total DSA with three-dimensional gasket elements.
This section includes simple tests to verify DSA for the isotropic elasticity, hyperelasticity (Ogden and polynomial models), and hyperfoam material options. The elastic material models are tested as geometrically linear cases that include temperature dependence. The hyperelastic models are tested as geometrically nonlinear cases with the material properties input as coefficients (no test data input). The material coefficients are chosen as the design parameters. For all problems sensitivities of element and node responses are verified for static steps, and for selected problems sensitivities of eigenvalues and eigenfrequencies are verified for frequency steps.
The tests are performed on a square or a cylindrical block discretized with four to eight elements. The block is held fixed at one end and loaded using prescribed displacements or point loads at the other end. Key material coefficients used in defining the material models are the primary design parameters, while some shape parameters are made design parameters as appropriate.
All response sensitivities are verified by comparison to overall finite difference results.
Total DSA, elastic axisymmetric model.
Total DSA, elastic axisymmetric model with temperature dependence.
Total DSA, elastic three-dimensional model.
Total DSA, elastic three-dimensional model with temperature dependence.
Incremental DSA, hyperelastic (polynomial) two-dimensional model.
Incremental DSA, hyperelastic (polynomial) three-dimensional model.
Incremental DSA, hyperelastic (Ogden) two-dimensional model.
Incremental DSA, hyperelastic (Ogden) three-dimensional model.
Incremental DSA, hyperfoam two-dimensional model; includes frequency step.
Incremental DSA, hyperfoam three-dimensional model.
Incremental DSA, elastic with engineering constant model, shell element with orientation.
This section includes a set of simple tests to verify DSA for contact between solid displacement elements and rigid surfaces with small-sliding and finite-sliding surface interaction. Both analytical and discrete rigid surfaces are used. The interaction between the rigid and deformable surfaces is assumed to be frictionless for all small-sliding surface interactions. Isotropic Coulomb friction with a friction coefficient of 0.2 is assumed for the finite-sliding tests. Two-dimensional and three-dimensional first-order solids with hyperelastic material models are tested. Shape parameters that affect the slave surface and friction coefficient are chosen as the design parameters, and the sensitivities of the contact responses CPRESS and CDISP are verified.
The tests are performed on a square block discretized with four to eight elements. The structure is held fixed at one end, and a rigid die is pushed onto the other end using prescribed displacements. The incremental DSA formulation is used in all tests. Shape parameters that change the shape of the slave surface are chosen as the primary design parameters.
The response sensitivities are verified by comparison to overall finite difference results.
Incremental DSA, small-sliding, two-dimensional model, analytical rigid surface.
Incremental DSA, small-sliding, two-dimensional model, analytical rigid surface, surface-to-surface constraint enforcement method.
Incremental DSA, small-sliding, two-dimensional model, discrete rigid surface.
Incremental DSA, small-sliding, two-dimensional model, discrete rigid surface, surface-to-surface constraint enforcement method.
Incremental DSA, small-sliding, two-dimensional model, modified triangles, analytical rigid surface.
Incremental DSA, small-sliding, two-dimensional model, modified triangles, analytical rigid surface, surface-to-surface constraint enforcement method.
Incremental DSA, small-sliding, three-dimensional model, analytical rigid surface.
Incremental DSA, small-sliding, three-dimensional model, analytical rigid surface, surface-to-surface constraint enforcement method.
Incremental DSA, small-sliding, three-dimensional model, discrete rigid surface.
Incremental DSA, small-sliding, three-dimensional model, discrete rigid surface, surface-to-surface constraint enforcement method.
Incremental DSA, small-sliding, three-dimensional model, modified tetrahedra, analytical rigid surfaces.
Incremental DSA, small-sliding, three-dimensional model, modified tetrahedra, analytical rigid surfaces, surface-to-surface constraint enforcement method.
Incremental DSA, finite-sliding, two-dimensional model, analytical rigid surface with friction.
Total DSA, finite-sliding, two-dimensional model, analytical rigid surface with friction.
Incremental DSA, finite-sliding, two-dimensional model, discrete rigid surface with friction.
Total DSA, finite-sliding, two-dimensional model, discrete rigid surface with friction.
Incremental DSA, finite-sliding, three-dimensional model, analytical rigid surface with friction.
Total DSA, finite-sliding, three-dimensional model, analytical rigid surface.
Incremental DSA, finite-sliding, three-dimensional model, discrete rigid surface with friction.
Total DSA, finite-sliding, three-dimensional model, discrete rigid surface.
Incremental DSA, finite-sliding, structural model, analytical rigid surface with friction.
This section includes various tests used to verify the behavior of the *DSA CONTROLS option. Output variables, unsupported elements, and restart are also verified.
Elements are subjected to concentrated or distributed loads. Static analyses are performed.
The response sensitivities are verified by comparison to overall finite difference results.
Total DSA testing user perturbation size control.
Incremental DSA testing user perturbation size, gravity loading, and mass sensitivity controls.
Total DSA testing sizing frequency and tolerance controls.
Incremental DSA testing sizing frequency and tolerance controls.
Incremental DSA testing unsupported elements (beam, spring, gasket, and connector elements with the supported C3D8 element).
Restart static analysis with DSA.
Restart frequency analysis with DSA.
Restart nonlinear frequency analysis with DSA.
Incremental DSA with design-dependent concentrated loads.
Total DSA with design-dependent concentrated loads.