Elastoplastic analysis for infinite plate with centric crack loaded by two pairs of point shear forces

Abstract

The near crack line analysis method was used to investigate a crack loaded by two pairs of point shear forces in an infinite plate in an elastic-perfectly plastic solid, and the analytical solution was obtained. The solutions include: the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line, law that the length of the plastic zone along the crack line is varied with an external loads, and the bearing capacity of an infinite plate with a center crack loaded by two pairs of point shear forces. The results are sufficiently precise near the crack line because the assumptions of the small scale yielding theory have not been made and no other assumption have been taken.

Keywords

near crack line analysis method / elastoplastic analytical solution / two pairs of point shear forces

References

[1] AchenbachJ D, LiZ L. Plane stress crack line fields for crack growth in in an elastic-perfectly plastic material [J]. Engineering Fracture Mechanics, 1980, 20(3): 534-544

[2] AchenbachJ D, DunayevskyV. Crack growth under plane stress condition in an elastic-perfectly plastic material [J]. Journal of Mechanics and Physics of Solids, 1984, 32: 89-100

[3] GuoQ, LiK. The dimension of plastic zone ahead of a mode III plane stress crack [J]. Engineering Fracture Mechanics, 1988, 29(1): 107-112

[4] YiZ. The new and analytical solutions for mode III cracks in an elastic-perfectly material [J]. Engineering Fracture Mechanics, 1992, 42(6): 833-840

[5] YiZ. Precise solutions of elastic-plastic crack line fields for crack loaded by antiplane point forces [J]. Engineering Fracture Mechanics, 1997, 57(1): 75-83

[6] WangJian-hua, ZhouXiao-ping. Near crack line elastic-plastic analysis for a infinite plate loaded by two pairs of point tensile forces [J]. Mechanics Research Communications, 2004, 31: 415-420

[7] ZhouXiao-ping, WangJian-hua. Study on the coalescence mechanism of splitting failure of crack-weakened rock subjected to compressive loads [J]. Mechanics Research Communications, 2005, 32(2): 161-171

[8] ZhouXiao-ping, ZhangYong-xing, ZhuKeshan. Elastic-plastic analytical solution for an eccentric crack loaded by a pair of tensile point forces [J]. Acta Mechanica Solida Sinca, 2005, 26(3): 325-332