Bifurcation of equilibrium solutions and defects nucleation - Archive ouverte HAL
Journal Articles International Journal of Fracture Year : 2007

Bifurcation of equilibrium solutions and defects nucleation

Claude Stolz

Abstract

The purpose of this article is to revise some concepts on defects nucleation based on bifurcation of equilibrium solutions. Equilibrium solutions are obtained on a homogeneous body and on a body with an infinitesimal defect such as cavity under the same prescirbed dead load. First void formation and growth in non linear mechanics are examined. A branch of radial transformation bifurcates from the undeformed configuration in presence of a small cavity. Two cases of behaviour is examined. One case is the growth of cavity by only the deformation of the matrix. In another modelling the cavity evolves like a damaged zone. The transition between the sound part and the damaged one is governed by a local criterium. Each configuration leads to the definition of a nucleation criterium based on a presence of a bifurcation state, comman state of the homogeneous boby and a body with an infinitesimal defect.
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Dates and versions

hal-00154127 , version 1 (26-03-2024)

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Claude Stolz. Bifurcation of equilibrium solutions and defects nucleation. International Journal of Fracture, 2007, 147, pp.103-107. ⟨10.1007/s10704-007-9147-5⟩. ⟨hal-00154127⟩
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