Boundary-Layer Effects in Composite Laminates: Part 1—Free-Edge Stress Singularities

[+] Author and Article Information
S. S. Wang, I. Choi

Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801

J. Appl. Mech 49(3), 541-548 (Sep 01, 1982) (8 pages) doi:10.1115/1.3162514 History: Received October 01, 1981; Revised April 01, 1982; Online July 21, 2009


A study of boundary-layer stress singularities in multilayered fiber-reinforced composite laminates is presented. Based on Lekhnitskii’s stress potentials and the theory of anisotropic elasticity, formulation of the problem leads to a pair of coupled governing partial differential equations (P.D.E.’s). An eigenfunction expansion method is developed to obtain the homogeneous solution for the governing P.D.E. ’s. The order or strength of boundary-layer stress singularity is determined by solving the transcendental characteristic equation obtained from the homogeneous solution for the problem. Numerical examples of the singular strength (or singular eigenvalues) of boundary-layer stresses are given for angle-ply and cross-ply composites as well as the cases of more general composite lamination.

Copyright © 1982 by ASME
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