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Journal Articles Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications Year : 2016

Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination

Abstract

This work is devoted so show the appearance of different cracking modes in linearly elastic thin film systems by means of an asymptotic analysis as the thickness tends to zero. By superposing two thin plates, and upon suitable scaling law assumptions on the elasticity and fracture parameters, it is proven that either debonding or transverse cracks can emerge in the limit. A model coupling debonding, transverse cracks and delamination is also discussed.
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Dates and versions

hal-01197124 , version 1 (11-09-2015)

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Jean-François Babadjian, Duvan Henao. Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination. Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2016, 18 (4), pp.545-578. ⟨10.4171/IFB/373⟩. ⟨hal-01197124⟩
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