The effective behavior of elastic bodies containing microcracks or microholes localized on a surface

Jean-Jacques Marigo (1) , Catherine Pideri (2)

1 LMS - Laboratoire de mécanique des solides
2 IMATH - Institut de Mathématiques de Toulon - EA 2134

We propose a two-scale method to find the effective behavior of a three-dimensional linear elastic medium containing a series of microcracks or microholes located on a surface. The obtained effective behavior is that of a homogeneous body with, in place of the actual microdefects, a surface across which the displacements and the stresses suffer jump discontinuities. The transmission conditions are in general of Ventcel's type. The coefficients entering in these jump conditions are obtained by solving six elastic problems posed on an infinite representative cell. The theoretical analysis is illustrated by a few examples.

Domains: Solid mechanics [physics.class-ph]; Solid mechanics [physics.class-ph]

Jean-Jacques Marigo, Catherine Pideri. The effective behavior of elastic bodies containing microcracks or microholes localized on a surface. International Journal of Damage Mechanics, 2011, 20 (Special issue of ESMC2009), p. 1151-1177. ⟨10.1177/1056789511406914⟩. ⟨hal-00549546⟩