A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity

Maria Giovanna Mora; Stefan Müller

Displaying similar documents to “A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity”

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Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary

Mamadou Sango (2003)

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Junction of elastic plates and beams

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 $𝐑^{3}$ . 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 $r^{ε}$ . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When and $r^{ε}$ tend to zero simultaneously, with $r^{ε} ≫ ε^{2}$ , we identify the limit problem. This limit problem involves six junction conditions.

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Changchun, Liu (2003)

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An improved Hardy-Rellich inequality with optimal constant.

Xiao, Ying-Xiong, Yang, Qiao-Hua (2009)

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A nonlinear model of a turbine blade by asymptotic analysis

José Rodríguez (2002)

International Journal of Applied Mathematics and Computer Science

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In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on...