High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior

G. DeBotton, I. Hariton

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

This work is concerned with the determination of the effective behavior of sequentially laminated composites with nonlinear behavior of the constituting phases. An exact expression for the effective stress energy potential of two-dimensional and incompressible composites is introduced. This allows to determine the stress energy potential of a rank-N sequentially laminated composite with arbitrary volume fractions and lamination directions of the core laminates in terms of an N-dimensional optimization problem. Stress energy potentials for sequentially laminated composites with pure power-law behavior of the phases are determined. It is demonstrated that as the rank of the lamination becomes large the behaviors of certain families of sequentially laminated composite tend to be isotropic. Particulate composites with both, stiffer and softer inclusions are considered. The behaviors of these almost isotropic composites are, respectively, softer and stiffer than the corresponding second-order estimates recently introduced by Ponte Castañeda (1996).

Original languageEnglish
Pages (from-to)2577-2595
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Volume50
Issue number12
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Anisotropic material
  • Constitutive behavior
  • Elastic-plastic behavior
  • Inhomogeneous material
  • Layered material

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