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Optimization-based material parameter identification in indentation testing for finite strain elasto-plasticity. (English) Zbl 1112.74019
Summary: The calculation of the derivatives of state variables with respect to material parameters using the direct differentiation method is developed for the case of a finite strain finite element analysis in corotational formulation for material behaviour including hypo-elasticity and nonlinear isotropic and kinematic hardening plasticity. The sensitivity analysis for the case of flexible-to-flexible contact, required in indentation testing, has been included. The derivatives obtained in a rotating-stretching bar problem are compared to results obtained by the finite difference method in order to verify the suitability of the corotational formulation in sensitivity analysis for dealing with rigid body rotations. Material parameter identification using a gradient-based numerical optimization is assessed with respect to stability by using pseudo-experimental indentation curves, obtained from modelling with known material parameters, and superposed with artificial noise. The effect of the load history on parameter identification is investigated.
MSC:
74G75Inverse problems (equilibrium problems in solid mechanics)
74C15Large-strain, rate-independent theories
74P10Optimization of other properties (solid mechanics)
74S05Finite element methods in solid mechanics