Abstract
The simplified equations for estimating the J contour integral by the use of a load-displacement curve have been developed to analyze various crack problems. These equations were derived by setting certain assumptions, for example, a deep crack or a shallow crack, etc.. In this paper, the distinction between the shallow crack and the deep crack was made by paying attention to the elastic-plastic deformation behavior of cracked plates. The validity of the present equations for non-liner materials were demonstrated by comparing their prediction with the available finite element analysis results, which were obtained for different shapes of various test specimens; for example, the center cracked tension plate, double edge cracked tension plate, single edge cracked tension plate, and single edge cracked bending plate. The way to use the simplified estimating equations was given. Also, the new simplified equations for estimating the J-value were derived for elastic-plastic materials by paying attention to their elastic-plastic deformation behavior which is characterized by full yielding or general yielding.
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