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Structural Engineering and Mechanics
  Volume 6, Number 8, December 1998 , pages 857-870

Nonlinear programming approach for a class of inverse problems in elastoplasticity
M.C. Ferris and F. Tin-Loi

    This paper deals with a special class of inverse problems in discrete structural plasticity involving the identification of elastic limits and hardening moduli on the basis of information on displacements. The governing equations lead naturally to a special and challenging optimization problem known as a Mathematical Program with Equilibrium Constraints (MPEC), a key feature of which is the orthogonality of two sign-constrained vectors or so-called \"complementarity\" condition. We investigate numerically the application of two simple algorithms, both based on the use of the general purpose nonlinear programming code CONOPT accessed via the GAMS modeling language, for solving the suitably reformulated problem. Application is illustrated by means of two numerical examples.
Key Words
    complementarity, elastoplasticity, inverse problems, mathematical programming, structural identification.
Ferris MC, Univ Wisconsin, Dept Comp Sci, 1210 W Dayton St, Madison, WI 53706 USA
Univ Wisconsin, Dept Comp Sci, Madison, WI 53706 USA
Univ New S Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia

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