We consider a bar made by two elastic bodies with linear stress-strain relation separated by an adhesive layer of thickness h. The adhesive is characterized by a non convex (piecewise quadratic) strain energy density with elastic modulus k. Firstly, we considering the equilibrium problem of the bar when its extremities are subject to a relative displacement and and determine the stable and metastable solutions. Then, we let h, k → 0 to obtain the corresponding asymptotic contact laws, linking the stress to the jump of the displacement at the adhesive interface.

Asymptotic analysis of soft thin layers with non convex energy

RIZZONI, Raffaella
2003

Abstract

We consider a bar made by two elastic bodies with linear stress-strain relation separated by an adhesive layer of thickness h. The adhesive is characterized by a non convex (piecewise quadratic) strain energy density with elastic modulus k. Firstly, we considering the equilibrium problem of the bar when its extremities are subject to a relative displacement and and determine the stable and metastable solutions. Then, we let h, k → 0 to obtain the corresponding asymptotic contact laws, linking the stress to the jump of the displacement at the adhesive interface.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11392/498206
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