Homogenization design method for biomorphic composite materials

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