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Basic issues in convex homogenization

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Trends and Applications of Mathematics to Mechanics

Abstract

The basic results in homogenization theory are revisited in the abstract context of continuum mechanics in which the constitutive behaviour and the kinematic constraints are governed by pairs of conjugate convex potentials. The theory and the methods of this generalized elastic model are briefly recalled and applied to extend the classical linear theory of homogenization to the non-linear and possibly multivalued constitutive framework.

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© 2005 Springer-Verlag Italia

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Romano, A., Romano, G. (2005). Basic issues in convex homogenization. In: Rionero, S., Romano, G. (eds) Trends and Applications of Mathematics to Mechanics. Springer, Milano . https://doi.org/10.1007/88-470-0354-7_15

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  • DOI: https://doi.org/10.1007/88-470-0354-7_15

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-0269-2

  • Online ISBN: 978-88-470-0354-5

  • eBook Packages: EngineeringEngineering (R0)

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