A stress analytical solution for Mode III crack within modified gradient elasticity

作者：Zhao, Bing^*; Liu, Tao; Pan, Jun; Peng, Xulong; Tang, Xuesong

来源：Mechanics Research Communications, 2017, 84: 142-147.

DOI：10.1016/j.mechrescom.2017.07.003

• Modified gradient elasticity (MGE)
• Mode III crack
• Strain gradient
• Internal length scale
• Singularities

The strain gradient exists near a crack tip may significantly influence the near-tip stress field. In this paper, the strain gradient and the internal length scales are introduced into the basic equations of mode III crack by the modified gradient elasticity (MGE). By using a complex function approach, the analytical solution of stress fields for mode III crack problem is derived within MGE. When the internal length scales vanish, the stress fields can be simplified to the stress fields of classical linear elastic fracture mechanics. The results show that the singularity of the shear stress is made up of two parts, r(-1/2) part and r(-3/2) part, and the sign of the stress sigma(yz) changes. With the increase of l(X), the peak value of cryz decrease and its location moves farther from the fracture vertex. The influence of strain gradient for mode III crack problem cannot be ignored.

• 出版日期2017-9
• 单位长沙理工大学