Eshelby Forces Associated with an Advancing Crack Surrounded by Vanishingly SmallInhomogeneity

摘要

The propagation of a crack surrounded by damage is simplistically replaced bythat of a crack lodged in a vanishingly thin or small elastic inhomogeneity. This latter problem is asymptotically analyzed and numerically solved via the use of Fast Fourier Transform Algorithm. A re-examination of Mindlin's grade-3 elasticity is thoroughly carried out to reveal the interaction between mechanical loading and surface tension.