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Issue title: Computational and Mathematical Methods for Science and Engineering Conference 2002 – CMMSE-2002
Article type: Research Article
Authors: Hoppe, Ronald H.W.; * | Petrova, Svetozara I.; 1
Affiliations: Department of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany
Correspondence: [*] Corresponding author
Note: [1] Permanent address: Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bontchev Str., Block 25A, 1113 Sofia, Bulgaria.
Abstract: A structural optimization method based on the homogenization approach (the homogenization design method) has been applied to the modeling of the recently produced biomorphic composite materials. The design itself involves a structural optimization problem which is solved under a set of equality and inequality constraints on the state variables (displacements) and design parameters (lengths of the layers in the microstructure and angle of cell rotation). Primal-dual Newton-type interior-point method with proper optimality criteria is applied to the resulting nonconvex nonlinear optimization problem.
Keywords: biomorphic microcellular ceramics from wood, structural optimization, elasticity problems, homogenization technique, primal-dual interior-point methods
DOI: 10.3233/JCM-2004-41-211
Journal: Journal of Computational Methods in Sciences and Engineering, vol. 4, no. 1-2, pp. 87-96, 2004
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