Optimal Boundary Tractions for Solids With Initial Strains

[+] Author and Article Information
R. A. Meric

TUBITAK, Applied Mathematics Department, Research Institute for Basic Sciences, Gebze, Kocaeli, Turkey

J. Appl. Mech 52(2), 363-367 (Jun 01, 1985) (5 pages) doi:10.1115/1.3169054 History: Received February 01, 1984; Revised July 01, 1984; Online July 21, 2009


Optimal boundary loading of solids with initial strains has been analyzed as a steady-state optimal control problem. Discretization of the optimality conditions, obtained by calculus of variations, is achieved by the finite element method, while the minimization of a performance index is done via the conjugate gradient method. Numerical results are provided for two plane strain problems with initial thermal strains.

Copyright © 1985 by ASME
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