Boundary-layer effects in composite laminates are considered. Based on the theory of anisotropic elasticity and Lekhnitskii’s complex-variable stress function formulation, the exact laminate elasticity solution is derived for the problem. The solution contains the exact boundary-layer stress singularity and higher-order terms in eigenfunction series. Convergence and accuracy of the solution are studied, and present results are compared with existing approximate numerical solutions. For illustrative purposes, the complete solution for a symmetric [45/−45 / −45/45] graphite-epoxy composite is presented to elucidate fundamental characteristics of the boundary-layer effects. Detailed stress distributions in the boundary-layer region are determined. Boundary-layer stress intensity factors are introduced to characterize the singular edge-stress field. Physical significance of the parameters is discussed in the realm of fracture initiation and failure modes in the laminate boundary region.
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September 1982
Research Papers
Boundary-Layer Effects in Composite Laminates: Part 2—Free-Edge Stress Solutions and Basic Characteristics
S. S. Wang,
S. S. Wang
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
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I. Choi
I. Choi
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
Search for other works by this author on:
S. S. Wang
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
I. Choi
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
J. Appl. Mech. Sep 1982, 49(3): 549-560 (12 pages)
Published Online: September 1, 1982
Article history
Received:
October 1, 1981
Revised:
February 1, 1982
Online:
July 21, 2009
Citation
Wang, S. S., and Choi, I. (September 1, 1982). "Boundary-Layer Effects in Composite Laminates: Part 2—Free-Edge Stress Solutions and Basic Characteristics." ASME. J. Appl. Mech. September 1982; 49(3): 549–560. https://doi.org/10.1115/1.3162521
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