Abstract
Adjoint and direct differentiation methods are used to formulate design sensitivities for nonlinear constrained elastostatic systems. Variations of a general response functional are expressed in explicit form with respect to all design field variations, including shape. The response functional is expressed over the underformed configuration, however the displacement gradient is included so that field quantities that are defined over the deformed configuration, such as Cauchy stress, may be modeled. The finite element method is used to evaluate the sensitivities in an example problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 115-126 |
| Number of pages | 12 |
| Journal | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |
| Volume | 115 |
| State | Published - 1990 |
| Externally published | Yes |
| Event | Winter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA Duration: Nov 25 1990 → Nov 30 1990 |
ASJC Scopus subject areas
- Mechanical Engineering