Sensitivity analysis for non-linear constrained elastostatic systems
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 variations, including shape. The response functional is expressed over the undeformed 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.
- Publication:
-
International Journal for Numerical Methods in Engineering
- Pub Date:
- June 1992
- DOI:
- 10.1002/nme.1620330807
- Bibcode:
- 1992IJNME..33.1643T
- Keywords:
-
- Elastostatics;
- Finite Element Method;
- Nonlinear Systems;
- Sensitivity;
- Differentiation;
- Lagrange Multipliers;
- Structural Mechanics