A mathematical model for a pseudo-plastic welding joint
Résumé
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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Mathematical_model_pseudo-plastic_Iosifescu_al_2009.pdf (237.43 Ko)
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