Parameter sensitivity of elastoplastic response
Abstract
The general problem of sizing, material and loading parameter sensitivity of non‐linear systems is presented. Both kinematic and path‐dependent material non‐linearities are considered; non‐linear sensitivity path is traced by an incremental solution strategy. The variational approach employed is quite general and can be employed for studying sensitivity of various path‐dependent highly non‐linear phenomena. Both the direct differentiation method (DDM) and adjoint system method (ASM) are discussed in the context of continuum and finite element mechanics. The merits of using the consistent tangent matrix and the necessity of accumulation of design derivatives of stresses and internal parameters are indicated. Aspects of sensitivity problems in metal forming are also discussed. A number of examples illustrate the paper.
Keywords
Citation
Kleiber, M., Hien, T.D., Antúnez, H. and Kowalczyk, P. (1995), "Parameter sensitivity of elastoplastic response", Engineering Computations, Vol. 12 No. 3, pp. 263-280. https://doi.org/10.1108/02644409510799604
Publisher
:MCB UP Ltd
Copyright © 1995, MCB UP Limited