A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions

Sergei Alexandrov, Elena Lyamina, Yeau Ren Jeng

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

The stress field near voids (or holes, or pores) essentially contributes to the fracture process in metallic and nonmetallic materials. In contrast to strains, it is practically impossible to measure stresses experimentally. Therefore, accurate theoretical methods are required to calculate the stress field near a void of arbitrary shape. The present paper develops such a method for the Mohr–Coulomb yield criterion under plane strain conditions. The boundary value problem is a free surface boundary value problem. The boundary conditions on the void contour result in the Cauchy problem for a hyperbolic system of equations. Therefore, the solution in a plastic region adjacent to the void is independent of other boundary conditions. It is required to evaluate one ordinary integral numerically for calculating the stresses at any point of the plastic region. The general solution applies to determining the stress field near two families of void contours. One family consists of contours with the same aspect ratio, including an ellipse as a particular contour. The other family consists of equal-areal voids, including a circle as a particular contour. This choice of the contour families reveals the void shape’s effect on the stress field. The effect of the internal friction angle of the stress field is also discussed.

原文English
頁(從 - 到)121-139
頁數19
期刊Continuum Mechanics and Thermodynamics
35
發行號1
DOIs
出版狀態Published - 2023 1月

All Science Journal Classification (ASJC) codes

  • 一般材料科學
  • 材料力學
  • 一般物理與天文學

指紋

深入研究「A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions」主題。共同形成了獨特的指紋。

引用此