Alternate expressions for the near-tip in-plane mixed-mode K-field stresses and displacements

作者：Kubair D V^*

来源：Engineering Fracture Mechanics, 2010, 77(14): 2927-2934.

DOI：10.1016/j.engfracmech.2010.07.011

• Mixed-mode crack
• Mode-mixity
• Complex-variables
• Near-tip fields

Alternate expressions for the angular variation of the K-field stresses and displacements around a sharp-crack embedded in an elastic medium subjected to an in-plane mixed-mode (mode-1 and -2) loading are presented. The expressions are derived in terms of the mode-mixity-angle instead of superposing the pure-mode fields. The alternate expressions are derived using complex potentials and the Kolosov-Muskhelishvili method. The mixed-mode stress and displacement fields are presented in the crack-tip Cartesian and polar coordinates. We have obtained the crack-growth-angle in terms of the mixity-angle assuming the maximum hoop- and principal-stress criterions.

• 出版日期2010-9