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Journal Articles Journal of Elasticity Year : 2013

Stability of homogeneous states with gradient damage models: size effects and shape effects in the three-dimensional setting

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Kim Pham
Jean-Jacques Marigo

Abstract

Considering a family of gradient-enhanced damage models and taking advantage of its variational formulation, we study the stability of homogeneous states in a full three-dimensional context. We show that gradient terms have a stabilizing effect, but also how those terms induce structural effects. We emphasize the great importance of the type of boundary conditions, the size and the shape of the body on the stability properties of such states.
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Dates and versions

hal-00655488 , version 1 (29-12-2011)

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Kim Pham, Jean-Jacques Marigo. Stability of homogeneous states with gradient damage models: size effects and shape effects in the three-dimensional setting. Journal of Elasticity, 2013, 110 (1), pp. 63--93. ⟨10.1007/s10659-012-9382-5⟩. ⟨hal-00655488⟩
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