A 2-dimensional mixture theory for biaxially fiber reinforced composites with application to dynamic crack problems

Y. Benveniste, J. Aboudi

Research output: Contribution to journalArticlepeer-review

Abstract

A 2-dimensional mixture theory is developed for wave propagation in a laminated medium in which every layer is made of a fiber reinforced composite material with the angle of reinforcement alternating from layer to layer. The developed theory contains as special cases the 2-dimensional mixture theory for a laminated medium made of isotropic layers, as well as the equivalent modulus theories for bi-directionally and unidirectionally fiber reinforced composites. The developed mixture theory is applied to the problem of a semi-infinite crack in the composite which is under dynamic loading. The induced fracture mode of the crack is of mixed type and contains both Mode I and Mode II types of opening. A numerical method of solution is applied to the four coupled mixture equations of motion in the average displacements and results are given for the dynamic stress fields in the composite.

Original languageEnglish
Pages (from-to)615-636
Number of pages22
JournalInternational Journal of Engineering Science
Volume16
Issue number9
DOIs
StatePublished - 1978

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