C. Wang et Lk. Zhang, NEAR CRACK LINE ELASTIC-PLASTIC ANALYSIS FOR A FINITE PLATE LOADED BY2 PAIRS OF ANTIPLANE POINT FORCES, Applied mathematics and mechanics, 19(6), 1998, pp. 547-553
In this paper, the improved near crack line analysis method proposed i
n Refs. [1] and [2] is used to investigate a center crack loaded by tw
o pairs of antiplane point forces in a finite plate in an elastic-perf
ectly plastic solid. And the analytical solutions are obtained, that i
s elastic-plastic stress fields near the crack line and the law that t
he length of the plastic zone along the crack line is varied with an e
xternal loads tr,ld the bearing capacity of a finite plate with a cent
er crack. The results of this paper are sufficiently precise near the
crack line, because the assumptions of the small scale yielding theory
have not been used and no other assumptions have been taken.