M. Kleiber et P. Kowalczyk, SENSITIVITY ANALYSIS IN PLANE-STRESS ELASTOPLASTICITY AND ELASTOVISCOPLASTICITY, Computer methods in applied mechanics and engineering, 137(3-4), 1996, pp. 395-409
Development of computational models for plane stress elasto-plasticity
is known to make some difficulties non-existent in 3D and plane strai
n formulations. Tedious derivation of plane stress algorithmic tangent
matrices which cannot be directly obtained as a special case of 3D ma
trices may serve here as an example. In this paper specific features o
f plane stress computations are discussed in the context of parameter
sensitivity analysis. Elasto-plastic material model with isotropic/kin
ematic hardening as well as two viscoplastic models are considered. Ex
plicit expressions for sensitivity gradients are derived. Instructive
examples solved by FEM illustrate the paper.