The Earthquake Engineering Online Archive

Finite Deformation Inverse Design Modeling with Temperature Changes, Axis-Symmetry, and Anisotropy

Govindjee, Sanjay

UCB/SEMM-1999/01, Dept. of Civil and Environmental Engineering, University of California, Berkeley, 1999-01, 28 pages (500/C23/1999/01)

In the manufacture and use of elastomeric components, inverse design methods are gaining popularity. These methods allow for the computation of the to-be-manufactured shape of an elastomeric component when geometric and load constraints are specified on a deformed in-use part. Formulations are presently available for the basic cases of 2-D plane and 3-D isothermal hyperelasticity. This report extends the inverse design methodology of Govindjee and Mihalic (1996) and Govindjee and Mihalic (1998) to include the possibility of differing temperatures in the to-be-manufactured configuration and the use configuration, the possibility of axisymmetric geometries, and the possibility of transverse isotropy. Orthotropic material behavior is also considered.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-99-01.pdf (1 MB)