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.
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© 1999 Springer-Verlag London Limited
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Hassani, B., Hinton, E. (1999). Homogenization Theory for Media with Periodic Structure. In: Homogenization and Structural Topology Optimization. Springer, London. https://doi.org/10.1007/978-1-4471-0891-7_2
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DOI: https://doi.org/10.1007/978-1-4471-0891-7_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1229-7
Online ISBN: 978-1-4471-0891-7
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