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Journal Articles Journal of Elasticity Year : 2014

Variational Formulation and Upper Bounds for Degenerate Scales in Plane Elasticity

Alain Corfdir

Abstract

Degenerate scales appear when certain plane boundary value problems solved using Boundary Integral Equations do not have a unique solution. The main contribution of this paper is to prove four inequalities that constrain the degenerate scales for plane elasticity. These results are based on a new variational formulation. It is shown that the degenerate scales depend only on Poisson’s ratio. The bounds on the degenerate scales for plane elasticity in a given boundary are obtained mainly from the degenerate scales obtained from the Laplace equation for the same boundary, which are well documented.
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Dates and versions

hal-01157344 , version 1 (30-06-2015)

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Alain Corfdir, Guy Bonnet. Variational Formulation and Upper Bounds for Degenerate Scales in Plane Elasticity. Journal of Elasticity, 2014, 118 (2), pp.207 - 221. ⟨10.1007/s10659-014-9494-1⟩. ⟨hal-01157344⟩
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