Analytical Solutions of Mode III Moving Crack under Concentrated Force Boundary Condition
By application of the theory of complex functions, the problem for mode Ⅲ dynamic crack under concentrated force were researched. The Riemann-Hilbert problem is formulated according to relationships of self-similar functions. Analytical solutions of stresses, displacements and dynamic stress intensity factors were obtained by the measures of self-similar functions and corresponding differential and integral operation.
Y. T. Wang et al., "Analytical Solutions of Mode III Moving Crack under Concentrated Force Boundary Condition", Advanced Materials Research, Vol. 214, pp. 271-275, 2011