Approximate solution for crack interacting with a gas-filled void

• Approximate solution is presented for crack interacting with a gas-filled void.
• The development of the solution is based on Eshelby equivalent inclusion theory and transformation toughening theory.
• The solution has good accuracy for mode I, mode II and I/II mixed mode cracks.

Approximate analytical solution for crack interacting with a gas-filled void is developed on the basis of Eshelby equivalent inclusion theory and transformation toughening theory. As validated by detailed finite element analysis the approximate solution has good accuracy for prediction of mode I, mode II and I/II mixed mode crack-tip stress intensity factors under plane strain loading conditions.