Design with anisotropic materials

Martin P. Bendsøe and Ole Sigmund
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Martin P. Bendsøe: Technical University of Denmark, Department of Mathematics
Ole Sigmund: Technical University of Denmark, Department of Mechanical Engineering, Solid Mechanics

Chapter 3 in Topology Optimization, 2004, pp 159-220 from Springer

Abstract: Abstract In Chapters 1 and 2 we have concentrated on the generation of optimal topologies based on the use of isotropic materials within the framework of “classical” black-white (or 0–1) structures. Early developments in topology optimization were build around the employment of composite materials as an interpolation of void and full material. This was founded on theoretical work that had lead to the understanding that the issue of existence of solutions can be resolved by extending the design space to include relaxed designs, here in the form of composites.

Keywords: Equilibrium Problem; Anisotropic Material; Principal Strain; Stiffness Tensor; Topology Design (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-662-05086-6_3

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