Optimal shape design in biomimetics based on homogenization and adaptivity

Ronald H.W. Hoppe and Svetozara I. Petrova

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 65, issue 3, 257-272

Abstract: Optimal shape design of microstructured materials has recently attracted a great deal of attention in materials science. The shape and the topology of the microstructure have a significant impact on the macroscopic properties. The paper is devoted to the shape optimization of new biomorphic microcellular silicon carbide ceramics produced from natural wood by biotemplating. This is a novel technology in the field of biomimetics which features a material synthesis from biologically grown materials into ceramic composites by fast high-temperature processing. We are interested in finding the best material-and-shape combination in order to achieve the optimal prespecified performance of the composite material. The computation of the effective material properties is carried out using the homogenization method. Adaptive mesh-refinement technique based on the computation of recovered stresses is applied in the microstructure to find the homogenized elasticity coefficients. Numerical results show the reliability of the implemented a posteriori error estimators.

Keywords: Shape optimization; Primal–dual method; Homogenization; Elasticity problem; Adaptive refinement (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:65:y:2004:i:3:p:257-272

DOI: 10.1016/j.matcom.2004.01.002

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