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An accelerated algorithm for parameter identification in a hierarchical plasticity model accounting for material constraints. (English) Zbl 0983.74015

Summary: We propose a parameter identification procedure which is based on the solution of an inverse problem, which in turn relies on the minimization of error function of least-squares type. The solution of the ensuing optimization problem, which is constrained one owing to the presence of physical links between optimization parameters, is performed by means of a particular technique of feasible direction type, which is modified and improved when the problem reduces to an unconstrained one. The algorithm is particularly efficient in the presence of hierarchical material models. The numerical properties of the proposed procedure are dicussed, and its behaviour is compared with usual optimization methods when applied to constrained and unconstrained problems.

MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type
74S99 Numerical and other methods in solid mechanics
74G75 Inverse problems in equilibrium solid mechanics
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