1988 | OriginalPaper | Buchkapitel
A Method of Feasible Direction with FEM for Shape Optimization
verfasst von : Eckart Schnack
Erschienen in: Structural Optimization
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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The avoidance of cracks in zones of stress concentrations by minimizing the maximal von Mises stress is very important in practical problems for the industry. In many applications it is necessary to allow for the change of traction vectors in large time intervals. So, one gets as result a multiple loading problem with a finite number of traction vectors, which will be formulated here as a discrete dynamic programming problem. The proposed algorithm is based on the method of feasible directions. It means, in effect, that one has a non-gradient method, combined with FEM, for which the search direction vector is known from physical reasons, see SCHNACK 1979 and SPÖRL 1986 [1, 2].