Shape optimization of an elasto-plastic body for the model with strain- hardening
Pištora, Vladislav
Applications of Mathematics, Tome 35 (1990), p. 373-404 / Harvested from Czech Digital Mathematics Library
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The state problem of elasto-plasticity (for the model with strain-hardening) is formulated in terms of stresses and hardening parameters by means of a time-dependent variational inequality. The optimal design problem is to find the shape of a part of the boundary such that a given cost functional is minimized. For the approximate solutions piecewise linear approximations of the unknown boundary, piecewise constant triangular elements for the stress and the hardening parameter, and backward differences in time are used. Existence and uniqueness of a solution of the approximate state problem and existence of a solution of the approximate optimal design problem are proved. The main result is the proof of convergence of the approximations to a solution of the original optimal design problem.

Publié le : 1990-01-01
Classification:  49J40,  65K10,  65N30,  73E05,  73E99,  73V25,  73k40,  74P10,  74P99,  74S05,  74S30 
@article{104419,
     author = {Vladislav Pi\v stora},
     title = {Shape optimization of an elasto-plastic body for the model with strain- hardening},
     journal = {Applications of Mathematics},
     volume = {35},
     year = {1990},
     pages = {373-404},
     zbl = {0717.73054},
     mrnumber = {1072608},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104419}
}

Pištora, Vladislav. Shape optimization of an elasto-plastic body for the model with strain- hardening. Applications of Mathematics, Tome 35 (1990) pp. 373-404. http://gdmltest.u-ga.fr/item/104419/

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