By the approaches of the theory of complex functions,the problems concerning modeⅢdynamic crack under the action of unit-step loads and constant loads located at the origin of the coordinates respectively.

By application of the theory of complex functions, the fracture dynamics problems on the edges of mode Ⅲ moving crack subjected to homogenous loads and moving concentrated variable loads were investagated respectively.

Dynamic propagation problems on the edges of mode Ⅲ crack subjected to variable loads Pxmtn;

theexperimental results show that the hydrogen atoms concentrated in the stress fieldof mode Ⅲ crack tip will introduce additional force for the emitting screwdislocations from crack tip.

The dynamic propagation problem of semi-infinite mode Ⅲ crack in an orthotropic infinite body is investigated.

The problem involving a mode-Ⅲ crack in a piezoelectric ceramic strip of infinitelength is analyzed in this paper.

By using the near crackline anaIYsis method,the plastoelastic solutions,which are sufficiently precise near the crack line,havebeen obtained for a mode Ⅲedge cracked plate with infinite demensions loaded by point forces in per-fect plastoelastic material;Through a reasonable assumption,mode Ⅲedge cracked plate with finite de-mensions loadeo by Doint forces,has also been analysed.

Because the difficulties both in Mathmatics and Physics, The researcli aboutMode Ⅱ dynamic cracks are reletiveIy a few at present.