The present contribution deals with the sensitivity analysis and optimization of structures for path-dependent structural response. Geometrically as well as materially non-linear behavior with hardening and softening is taken into account. Prandtl-Reuss-plasticity is adopted so that not only the state variables but also their sensitivities are path-dependent. Because of this the variational direct approach is preferred for the sensitivity analysis. For accuracy reasons the sensitivity analysis has to be consistent with the analysis method evaluating the structural response. The proposed sensitivity analysis as well as its application in structural optimization is demonstrated by several examples.
%0 Journal Article
%1 schwarz2001sensitivity
%A Schwarz, Stefan
%A Ramm, Ekkehard
%D 2001
%J Engineering Computations
%K ibb from:maltevonscheven article
%P 610-641
%R 10.1108/02644400110387181
%T Sensitivity analysis and optimization for nonlinear structural response.
%V 18
%X The present contribution deals with the sensitivity analysis and optimization of structures for path-dependent structural response. Geometrically as well as materially non-linear behavior with hardening and softening is taken into account. Prandtl-Reuss-plasticity is adopted so that not only the state variables but also their sensitivities are path-dependent. Because of this the variational direct approach is preferred for the sensitivity analysis. For accuracy reasons the sensitivity analysis has to be consistent with the analysis method evaluating the structural response. The proposed sensitivity analysis as well as its application in structural optimization is demonstrated by several examples.
@article{schwarz2001sensitivity,
abstract = {The present contribution deals with the sensitivity analysis and optimization of structures for path-dependent structural response. Geometrically as well as materially non-linear behavior with hardening and softening is taken into account. Prandtl-Reuss-plasticity is adopted so that not only the state variables but also their sensitivities are path-dependent. Because of this the variational direct approach is preferred for the sensitivity analysis. For accuracy reasons the sensitivity analysis has to be consistent with the analysis method evaluating the structural response. The proposed sensitivity analysis as well as its application in structural optimization is demonstrated by several examples.},
added-at = {2021-03-09T13:40:54.000+0100},
author = {Schwarz, Stefan and Ramm, Ekkehard},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/20c7a696476a6f9c904973a9c8afea8fb/ibb-publication},
doi = {10.1108/02644400110387181},
interhash = {e2477adb73c62e0a076be61eedb051f9},
intrahash = {0c7a696476a6f9c904973a9c8afea8fb},
journal = {Engineering Computations},
keywords = {ibb from:maltevonscheven article},
pages = {610-641},
timestamp = {2021-03-09T12:40:54.000+0100},
title = {Sensitivity analysis and optimization for nonlinear structural response.},
volume = { 18},
year = 2001
}
