Abstract
In this paper the problem of an elastic plate containing a planar surface crack and subjected to antisymmetric loading conditions is considered. The problem is formulated by using Reissner's plate theory. A line spring model is developed for a part-through crack under mixed mode conditions and mode II and III compliance functions are determined. A modification of the integral equations resulting from the Reissner theory is necessary for this formulation to recover the plane strain solution for thin plates. It is shown that, as in three-dimensional problems, mode II and III deformations remain coupled whereas mode I can be separated. The problem is solved and mode II and III stress intensity factors are given for a plate containing a surface crack which is subjected to three separate antisymmetric external loads, namely in-plane shear, twisting moment, and transverse shear. Results for in-plane shear and transverse shear are compared with existing numerical solutions. The results presented also include the effect of Poisson's ratio.
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