Six Fundamental Boundary Value Problems in the Mechanics of Periodic Composites

Abstract:

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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:

Edited by:

Patrick Sean Keogh

Pages:

551-558

Citation:

V.A. Palmov and A.I. Borovkov, "Six Fundamental Boundary Value Problems in the Mechanics of Periodic Composites", Applied Mechanics and Materials, Vols. 5-6, pp. 551-558, 2006

Online since:

October 2006

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$38.00

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

[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: https://doi.org/10.1007/978-94-011-4489-6