Nonlinear effects in the extension of an elastic space containing a wavy layer inclusion

A. Chiskis*, R. Parnes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

two-dimensional problem of extension of an infinite isotropic elastic space (the matrix) containing an infinite, solitary, elastic, periodically wavy layer inclusion, having both bending and axial rigidities, is considered. Geometric nonlinearity of the layer and the matrix are taken into account as well as physical nonlinearity of the matrix material. A general procedure for an arbitrary periodic inclusion is developed. Explicit analytical solutions for a typical case of a cosinusoidal inclusion having small initial waviness are presented and are found to depend solely on parameters defined by stiffness and thickness ratios of the matrix/inclusion system. Numerical results describing the deformation of the layer and the stress field in the matrix are presented for a wide range of the matrix/inclusion parameters. It is shown that within the range of small to moderate strains physical nonlinearity can have significant influence on the behavior and be a controlling factor in possible modes of failure, namely by delamination or crack initiation in the matrix.

Original languageEnglish
Pages (from-to)1213-1251
Number of pages39
JournalJournal of the Mechanics and Physics of Solids
Volume46
Issue number7
DOIs
StatePublished - Jul 1998

Funding

FundersFunder number
Ministry of Science, Israel94-00349
United States-Israel Binational Science Foundation

    Keywords

    • A. delamination
    • B. finite strain
    • B. layered material
    • B. nonlinear constitutive behavior
    • B. strain compatibility

    Fingerprint

    Dive into the research topics of 'Nonlinear effects in the extension of an elastic space containing a wavy layer inclusion'. Together they form a unique fingerprint.

    Cite this