Stability and Bifurcation with Moving Discontinuities

Stolz, Claude; Pradeilles-Duval, R. M.

doi:10.1007/0-387-26261-x_26

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Case Of Elastic Brittle Materials1

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“…This defines the analogous way the energy release rate associated with the dissipation along a moving surface (Stolz andPradeilles-Duval 1997, 2004). Along the interface the energy release rate has the value…”

Section: Case Of Elastic Brittle Materialsmentioning

confidence: 97%

Bifurcation of equilibrium solutions and defects nucleation

Stolz

2007

Int J Fract

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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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Section: Case Of Elastic Brittle Materialsmentioning

confidence: 97%