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A mathematical model for a pseudo-plastic welding joint

Abstract : An elementary situation in welding involves the perfect assembly of two adherents and a strong adhesive occupying a thin layer. The bulk energy density of the hyperelastic adherents grows superlinearly while that of the pseudo-plastic adhesive grows linearly with a stiffness of the order of the inverse of its thickness epsilon. We propose a simplified but accurate model by studying the asymptotic behavior, when epsilon goes to zero, through variational convergence methods: at the limit, the intermediate layer is replaced by a pseudo-plastic interface which allows cracks to appear.
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Oana Iosifescu, Pongpol Juntharee, Christian Licht, Gérard Michaille. A mathematical model for a pseudo-plastic welding joint. Analysis and Applications, World Scientific Publishing, 2009, 7, pp.243-267. ⟨10.1142/S0219530509001372⟩. ⟨hal-00574669⟩

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