Dynamic Expansion Problems on Symmetrical Mode III Interface Crack
By means of the complex variable functions, dynamic expension problems on symmetrical mode Ⅲ interface crack were researched. The problems considered can be very facilely transformed into Riemann-Hilbert problem by the measures of self-similar functions, and the general expressions of analytical solutions for the edges of mode Ⅲ symmetrical interface crack subjected to motive variable loadings Px2/t3 and Pt4/x3 were obtained by means of self-similar functions, respectively. After those solutions were utilized by superposition theorem, the solutions of arbitrary complex problems could be readily attained.
N. C. Lü et al., "Dynamic Expansion Problems on Symmetrical Mode III Interface Crack", Advanced Materials Research, Vols. 211-212, pp. 1012-1015, 2011