×

A computer system for solving inverse and optimization problems. (English) Zbl 0942.74080

Summary: We present a system for solving a wide variety of inverse and optimization problems in solid mechanics. The system consists of a general purpose finite element method (FEM) analysis system “Elfen” and a shell which controls this system. The shell operates as a stand-alone programme, so the system is physically divided into two separated parts. The “optimization part”, which corresponds to the shell, possesses optimization and inverse problem solution algorithms. The “analysis part”, which corresponds to an FEM system, serves for the definition of the objective function to which these algorithms are applied. The shell has a user interface implemented in the form of file interpreter which imposes a great flexibility on the formulation of various optimization and inverse problems, including parameter identification in constitutive modelling, frictional contact problems and heat transfer. Concepts of the shell are discussed in detail.

MSC:

74S99 Numerical and other methods in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
74P99 Optimization problems in solid mechanics
74G75 Inverse problems in equilibrium solid mechanics
68U20 Simulation (MSC2010)

Software:

SMS
Full Text: DOI

References:

[1] DOI: 10.1016/S0304-3975(97)00067-4 · Zbl 0893.68084 · doi:10.1016/S0304-3975(97)00067-4
[2] DOI: 10.1002/nme.1620371408 · Zbl 0808.73057 · doi:10.1002/nme.1620371408
[3] Mroz, Z. (1994), ”Variational methods in sensitivity analysis and optimal design”, Europ. J. Mech. A/Solids, Vol. 13, pp. 115-49.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.