Abstract
The fundamental solution of discontinuity displacement for a three-dimensional problem is put forward by use of the Hankel transformation method and then the accurate solutions of discontinuity displacement in rectangular and triangular areas are obtained. One set of linear algebraic equations is given for arbitrary boundary values according to stress and displacement conditions on the crack surface, and a numerical method for obtaining the stress intensity factor using crack surface discontinuity displacements is established. It can be seen from many calculation results that the degree of accuracy of this method (discontinuity displacement method, DDM) is very high even though the element number is small. Combined with the boundary element method, this numerical method can also solve the finite cracked body problem.
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