One-step inverse analysis

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

This page discusses:

See Also
In Other Guides
*ONE-STEP INVERSE

Products Abaqus/Standard

Elements tested

S3R

S4

S4R

STRI3

Features tested

This section provides basic verification tests of the one-step inverse analysis.

Problem description

The tests provide verification of the one-step inverse analysis described in One-Step Inverse Analysis. The analysis determines an initial undeformed configuration of a structure given a final deformed configuration and a blank surface. The initial location of the plate is expected to conform with the blank surface.

Model

The model consists of a plate approximated with shell elements and a rigid surface.

Mesh

The plate is modeled with a mesh of 10 quadrilateral elements or a mesh of 20 triangular elements.

Material

A linear isotropic elastic material is used with:

Young's modulus E =195 × 106
Poisson's ratio υ =0.33

(The units are not important.)

Initial Conditions

The initial conditions specify an estimate of the unfolded coordinates of all nodes in the plate, which is used a starting point in the iterative algorithm of the one-step inverse analysis.

Boundary conditions

All degrees of freedom of the nodes on one side of the plate are fixed. As a result, these nodes are constrained at the position prescribed with the initial conditions.

Results and discussion

All tests using different element types have the expected results. The calculated initial configuration of the plate conforms to the blank surface. In addition, differences between results obtained using different element types are negligible.