STP617

    A Perturbation Solution for Interlaminar Stresses In Bidirectional Laminates

    Published: Jan 1977


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    Abstract

    This paper considers a thin, elastic, bidirectional, symmetric composite laminate subjected to a uniform axial strain. All interlaminar stresses are determined by a 0th-order perturbation analysis of the governing equations. The method of solution considers the laminate to be composed of an interior region (removed from the free edge) and a boundary layer region. The interior region is analyzed by dropping terms related to powers of the thickness-to-width ratio h/b in the dimensionless elasticity equations. The boundary layer region is studied by introducing a stretching transformation to the governing equations. A uniform solution is then formed by satisfying Prandtl's matching principle of perturbation theory.

    Results for a four-layer, bidirectional graphite-epoxy laminate are compared with existing finite difference results. It is shown that the perturbation analysis provides more insight into the stress distribution near the free edge.

    Keywords:

    composite materials, laminates, edge effects, boundary layer, perturbation, interlaminar stresses


    Author Information:

    Hsu, PW
    Graduate student and associate professor, Virginia Polytechnic Institute and State University, Blacksburg, Va.

    Herakovich, CT
    Graduate student and associate professor, Virginia Polytechnic Institute and State University, Blacksburg, Va.


    Paper ID: STP26950S

    Committee/Subcommittee: D30.06

    DOI: 10.1520/STP26950S


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