Stress Singularity of Edge Delamination in Angle-Ply and Cross-Ply Laminates

[+] Author and Article Information
Wen-Hwa Chen, Tain-Fu Huang

Department of Power Mechanical Engineering, College of Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043, Republic of China

J. Appl. Mech 64(3), 525-531 (Sep 01, 1997) (7 pages) doi:10.1115/1.2788924 History: Received July 13, 1993; Revised December 09, 1996; Online October 25, 2007


By utilizing the general solutions derived for the plies with arbitrary fiber orientations under uniform axial strain (Huang and Chen, 1994), the explicit solutions of the edge-delamination stress singularities for the angle-ply and cross-ply laminates are obtained. The dominant edge-delamination stress singularities for the angle-ply laminates are found to be a real constant, −1/2, and a pair of complex conjugates, −1/2 ± i/2π ln {(b + b2 − a2)/a}. For the cross-ply laminates, the significant effect of transverse shear stresses of the laminate is considered and the dominant edge-delamination stress singularities are shown as −1/2 and −1/2 ± i/2π ln {(c2 + c22 − 4c1c3)/2c1}. a, b, cl , c2 , and c3 are the corresponding combined complex constants. In addition, two elementary forms of edge-delamination stress singularity, say, r−1/2 and rδr (ln r)n (δr = n − 3/2, n = 1, 2 . . .) exist for both the angle-ply and cross-ply laminates. Excellent correlations between the present results and available solutions show the validity of the approach. The deficiencies of the solutions available in the literature are compensated. New results for other angle-ply and cross-ply laminates are also provided.

Copyright © 1997 by The American Society of Mechanical Engineers
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