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Title: Computation of stress intensity factors using a special finite element technique
Authors: Khalil, Gazi Md.
Issue Date: Aug-1999
Publisher: NISCAIR-CSIR, India
Abstract: The use of a special finite element technique for the computation of stress intensity factors in cracked plates, subjected to in-plane tensile loads, is described here. Seven plates of unit thickness (each 40x40 cm2) are numerically analyzed. Each of the plates contains an edge-crack of varying length (4-28 cm). Firstly, the plates are conceptually divided into two zones, a circular singular zone around the crack-tip and a conventional zone outside the circular boundary. The plates are then discretized into a system of triangular finite elements. The elements near the crack-tip are made much smaller than the remote ones. Appropriate displacement functions are proposed for handling, the inverse square root singularity of stresses at the crack-tip. Also, the conventional elements are used outside the singular zone. Based on the proposed displacement functions, a new stiffness matrix is derived. A suitable computer program is developed for the analysis of stresses in the cracked plates. The stress intensity factors are computed for each of the seven plates and plotted against the ratio of cracklength to plate- length. The results obtained by using the proposed displacement functions are found to be more satisfactory than those obtained by the conventional elements using linear displacement functions.
Page(s): 182-187
ISSN: 0975-1017 (Online); 0971-4588 (Print)
Appears in Collections:IJEMS Vol.06(4) [August 1999]

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