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First and second order stress extrapolation for mode I and mode II edge cracks
Authors:Byeong S. Kim  Alan W. Eberhardt
Affiliation:

Department of Materials and Mechanical Engineering, University of Alabama at Birmingham, Birmingham, Alabama 35294, U.S.A.

Abstract:
The use of linear and second order stress extrapolation to obtain KI and KII in two-dimensional finite element models of a thick plate containing an edge crack was examined. Three loading cases were studied, including classical Mode I and Mode II problems and a problem of tribological contact. Linear extrapolation was observed to yield accurate predictions of KI in cases of dominant Mode I loading. In Mode II situations, notably where the crack faces experienced compressive normal stresses, second order extrapolation was observed to improve estimates of KII.
Keywords:finite elements   stress extrapolation   Mode II   tribology
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