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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 40
Edited by: B.H.V. Topping
Paper VIII.3

Structural Sensitivity Analysis with Elastic and Elastoplastic Stress Fields

C.E.K. Silva*, E. Hinton#, J. Sienz# and L.E. Vaz*

*Department of Civil Engineering, PUC-Rio, Rio de Janeiro, Brazil
#Department of Civil Engineering, University of Wales, Swansea, United Kingdom

Full Bibliographic Reference for this paper
C.E.K. Silva, E. Hinton, J. Sienz, L.E. Vaz, "Structural Sensitivity Analysis with Elastic and Elastoplastic Stress Fields", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 205-214, 1996. doi:10.4203/ccp.40.8.3
A new direct differentiation method for the design sensitivity analysis (DSA) of structural models with elastoplastic material behaviour is presented. The procedure is based on the response obtained by an incremental iterative approach to nonlinear finite element (FE) analysis. The nonlinear FE equations are solved based upon Newton-Raphson method where the stiffness updating is performed using the consistent tangent matrix. The use of the consistent modulus preserves the asymptotic quadratic rate of convergence of the iterative scheme improving the overall process for obtaining the sensitivities. The method for DSA makes use of the "exact" numerical differentiation and is presented specifically for isoparametric elements. Application is made to some plane stress cases with a perfectly plastic von Mises yield criterion.

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