Six Fundamental Boundary Value Problems in the Mechanics of Periodic Composites

V.A. Palmov; A.I. Borovkov

doi:10.4028/www.scientific.net/AMM.5-6.551

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Six Fundamental Boundary Value Problems in the Mechanics of Periodic Composites
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 5-6Six Fundamental Boundary Value Problems in the...

Six Fundamental Boundary Value Problems in the Mechanics of Periodic Composites

Abstract:

A new approach in the mechanics of composites is presented. We use basic solutions and regular expansions in order to represent stresses, strains and displacements in a composite. We perform homogenization and present new formulae for the effective moduli. We propose a new approach to the formulation of homogenized equations and boundary conditions.

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Periodical:

Applied Mechanics and Materials (Volumes 5-6)

Pages:

551-558

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.5-6.551

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Online since:

October 2006

Authors:

V.A. Palmov, A.I. Borovkov

Keywords:

Basic Solutions, Boundary Layer Concept, Fluctuation, Homogenization, Periodic Composites, Regular Expansions

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References

[1] Bensoussan A., Lions J.L. Papanicolaou G. Asymptotic analysis for periodic structures. Amsterdam: North-Holland Publ. Comp. 1978. 700 p.

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[2] Mechanics of Composite Materials and Structures. Proc. of the NATO Advanced Study Institute on Mechanics of Composite Materials and Structures. Eds. Carlos A. Mota Soures, Cristovao M. Mota Soares, Manuel J.M. Freitas. Troia, Portugal. (1998).

DOI: 10.1080/15376490701762285

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