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Homogenization Theory for Media with Periodic Structure

In: Homogenization and Structural Topology Optimization

Author

Listed:
  • Behrooz Hassani

    (Shahroud University)

  • Ernest Hinton

    (University of Wales, Department of Civil Engineering)

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.

Suggested Citation

  • Behrooz Hassani & Ernest Hinton, 1999. "Homogenization Theory for Media with Periodic Structure," Springer Books, in: Homogenization and Structural Topology Optimization, chapter 2, pages 11-30, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4471-0891-7_2
    DOI: 10.1007/978-1-4471-0891-7_2
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