Homogenization Theory for Media with Periodic Structure

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

Chapter 2 in Homogenization and Structural Topology Optimization, 1999, pp 11-30 from Springer

Abstract: Abstract In this chapter an overview of the theory of homogenization for composites with regulär structure is presented. Periodicity and asymptotic expansion are deßned and an application of homogenization to the simple case of a one dimensional elasticity problem is given. Derivation of the basic formulas for the general case of a boundary value problem in strong form is discussed. Finally, the homogenization equations for the elasticity problems in weak form for perforated media are derived.

Keywords: Base Cell; Asymptotic Expansion; Periodic Structure; Elasticity Problem; Homogenization Method (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_2

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DOI: 10.1007/978-1-4471-0891-7_2

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