Solution of Homogenization Equations for Topology Optimization

Behrooz Hassani and Ernest Hinton
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Behrooz Hassani: Shahroud University
Ernest Hinton: University of Wales, Department of Civil Engineering

Chapter 3 in Homogenization and Structural Topology Optimization, 1999, pp 31-67 from Springer

Abstract: Abstract In this chapter motives for using the homogenization theory for topological structural optimization are brießy explained. Different material models are descrihed and the analytical Solution of the homogenization equations, derived in the last section of Chapter 2, for the so called ‘rank laminate composites’ is presented. The ßnite element formulation is explained for the material model based on a microstruciure consisting of an isotropic material with rectangular voids. Using the periodicity assumption, the boundary conditions are derived and the homogenization equation is solved. The results to be used in topology optimization are presented.

Keywords: Base Cell; Topology Optimization; Homogenization Equation; Shape Optimization Problem; Structural Topology Optimization (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4471-0891-7_3

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DOI: 10.1007/978-1-4471-0891-7_3

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