A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity
Maria Giovanna Mora, Stefan Müller (2004)
Annales de l'I.H.P. Analyse non linéaire
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Maria Giovanna Mora, Stefan Müller (2004)
Annales de l'I.H.P. Analyse non linéaire
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Vodák, Rostislav (2005)
Journal of Applied Mathematics
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Antonio Gaudiello, Régis Monneau, Jacqueline Mossino, François Murat, Ali Sili (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the linearized elasticity system in a multidomain of . This multidomain is the union of a horizontal plate with fixed cross section and small thickness , and of a vertical beam with fixed height and small cross section of radius . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When and tend to zero simultaneously, with , we identify the limit problem. This limit problem involves six junction conditions.
Changchun, Liu (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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