Abstract: In this paper, the improved near crack line analysis method proposed in Refs. [1]and [2] is used to investigate a center crack loaded by two pairs of antiplane pointforces in a finite plate in an elastic-perfectly plastic solid. And the analytical solutionsare obtained, thai is elastic-plastic stress fields near the crack line and the taw that thelength of foe plastic zone along the crack line is varied with an external loads and thebearing capacity of a finite plate with a center crack. The results of this paper aresufficiently precise near the crack line because the assumptions of the Small scaleyielding theory have not been used and no other assumptions have been taken.

Key words: near crack line analysis, two pairs of antiplane point forces, finite plate, elastic-plastic analytical solutions