Abstract: By the methods of the theory of complex functions, asymmetrical dynamic propagation problem on the central sections of mode I crack surfaces subjected to homogeneous loadings was researched. Analytical solutions to stresses, displacements and dynamic stress intensity factors are obtained by the measures of self-similar functions. The problems investigated can be very facilely transformed into Riemann-Hilbert problem and their closed solutions are easily obtained by Muskhelishvili’s approach. Utilizing those solutions and superposition theorem, the solution to arbitrarily complex problems can be easily attained.