Design sensitivity analysis for continuum elements

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/Design

Elements tested

  • C3D4
  • C3D4H
  • C3D6
  • C3D6H
  • C3D8
  • C3D8H
  • C3D8I
  • C3D8IH
  • C3D8R
  • C3D8RH
  • C3D10
  • C3D10H
  • C3D10M
  • C3D10MH
  • C3D15
  • C3D15H
  • C3D15V
  • C3D15VH
  • C3D20
  • C3D20H
  • C3D20R
  • C3D27
  • C3D27H
  • C3D27R
  • C3D27RH
  • CAX3
  • CAX3H
  • CAX4
  • CAX4H
  • CAX4I
  • CAX4IH
  • CAX4R
  • CAX4RH
  • CAX6
  • CAX6H
  • CAX6M
  • CAX6MH
  • CAX8
  • CAX8H
  • CAX8R
  • CAX8RH
  • CGAX3
  • CGAX3H
  • CGAX4
  • CGAX4H
  • CGAX4R
  • CGAX4RH
  • CGAX6
  • CGAX6H
  • CGAX8
  • CGAX8H
  • CGAX8R
  • CGAX8RH
  • CPE3
  • CPE3H
  • CPE4
  • CPE4H
  • CPE4H
  • CPE4I
  • CPE4IH
  • CPE4R
  • CPE4RH
  • CPE6
  • CPE6H
  • CPE6M
  • CPE6MH
  • CPE8
  • CPE8H
  • CPE8R
  • CPE8RH
  • CPEG3
  • CPEG3H
  • CPEG4
  • CPEG4H
  • CPEG4I
  • CPEG4IH
  • CPEG4R
  • CPEG4RH
  • CPEG6
  • CPEG8
  • CPEG8H
  • CPEG8R
  • CPEG8RH
  • CPS3
  • CPS4
  • CPS4I
  • CPS4R
  • CPS6
  • CPS6M
  • CPS8
  • CPS8R

Features tested

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 (for example, material properties, thickness) and shape (that is, nodal coordinates). The results verified are primarily displacement sensitivities for static steps and eigenvalue sensitivities for frequency steps.

Problem description

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.

Results and discussion

All sensitivity results are verified by comparison to hand calculations or to overall finite difference results.

Input files

pdsatotcpe.inp

Total DSA with plane strain stress/displacement elements.

pdsainccpe.inp

Incremental DSA with plane strain stress/displacement elements.

pdsatotcps.inp

Total DSA with plane stress stress/displacement elements.

pdsainccps.inp

Incremental DSA with plane stress stress/displacement elements.

pdsatotcpeg.inp

Total DSA with generalized plane strain stress/displacement elements.

pdsainccpeg.inp

Incremental DSA with generalized plane strain stress/displacement elements.

pdsatotc3d.inp

Total DSA with three-dimensional stress/displacement continuum elements.

pdsaincc3d.inp

Incremental DSA with three-dimensional stress/displacement continuum elements; includes frequency step.

pdsatotcax.inp

Total DSA with axisymmetric stress/displacement continuum elements; includes frequency step.

pdsainccax.inp

Incremental DSA with axisymmetric stress/displacement continuum elements.

pdsatotcgax.inp

Total DSA with axisymmetric stress/displacement elements with twist.

pdsainccgax.inp

Incremental DSA with axisymmetric stress/displacement elements with twist.