Dislocation Distribution Function of the Mode III Dynamic Crack Subjected to Moving Unit Step Load from a Point
Dislocation distribution functions of the edges of mode III propagation crack subjected to Moving unit step load from a point was studied by the methods of the theory of complex variable functions.By the methods, the problems researched can be facilely transformed into Riemann-Hilbert problems and Keldysh-Sedov mixed boundary value problems. Analytical solutions of stresses, displacements, dynamic stress intensity factor and dislocation distribution function were obtained by the methods of the theory of self-similar functions.In terms of the relationship between dislocation distribution functions and displacements, analytical solutions of dislocation distribution functions were attained.
Y. T. Wang et al., "Dislocation Distribution Function of the Mode III Dynamic Crack Subjected to Moving Unit Step Load from a Point", Advanced Materials Research, Vols. 314-316, pp. 872-876, 2011