SYMPOSIA PAPER Published: 01 January 1992

Crack-Mouth Displacements for Semielliptical Surface Cracks Subjected to Remote Tension and Bending Loads


The exact analytical solution for an embedded elliptical crack in an infinite body subjected to arbitrary loading was used in conjunction with the finite element alternating method to obtain crack-mouth-opening displacements (CMOD) for surface cracks in finite plates subjected to remote tension. Identical surface-crack configurations were also analyzed with the finite element method using 20-noded element for plates subjected to both remote tension and bending. The CMODs from these two methods generally agreed within a few percent of each other. Comparisons made with experimental results obtained from surface cracks in welded aluminum alloy specimens subjected to tension also showed good agreement.

Empirical equations were developed for CMOD for a wide range of surface-crack shapes and sizes subjected to tension and bending loads. These equations were obtained by modifying the Green-Sneddon exact solution for an elliptical crack in an infinite body to account for finite boundary effects. These equations should be useful in monitoring surface-crack growth in tests and in developing complete crack-face-displacement equations for use in three-dimensional weight-function methods.

Author Information

Raju, IS
North Carolina A&T State University, Greensboro, NC
Newman, JC
NASA Langley Research Center, Hampton, VA
Atluri, SN
Center for Advancement of Computational Mechanics, Georgia Institute of Technology, Atlanta, GA
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Developed by Committee: E08
Pages: 19–28
DOI: 10.1520/STP23694S
ISBN-EB: 978-0-8031-5193-2
ISBN-13: 978-0-8031-1440-1