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arxiv: 1112.2482 · v3 · pith:42V3BJNFnew · submitted 2011-12-12 · 🧮 math.AP · math.OC

A quantitative second order minimality criterion for cavities in elastic bodies

classification 🧮 math.AP math.OC
keywords elasticquantitativesecondbodiesbodycavitiescavityconsider
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We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation then it is a strict local minimizer. We also provide a quantitative estimate.

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