The present chapter concerns rigorous homogenization of a Hencky-type discrete beam model, which is useful for the numerical study of complex fibrous systems as pantographic sheets as well as woven fabrics. -convergence of the discrete model towards the inextensible Euler’s beam model is proven and the result is established for placements in Rd in large deformation regime.
Convergence of Hencky-type discrete beam model to euler inextensible elastica in large deformation: Rigorous proof / Alibert, Jean-Jacques; Della Corte, Alessandro; Seppecher, Pierre. - STAMPA. - 69(2017), pp. 1-12. - ADVANCED STRUCTURED MATERIALS. [10.1007/978-981-10-3764-1_1].
Convergence of Hencky-type discrete beam model to euler inextensible elastica in large deformation: Rigorous proof
Della Corte, Alessandro;
2017
Abstract
The present chapter concerns rigorous homogenization of a Hencky-type discrete beam model, which is useful for the numerical study of complex fibrous systems as pantographic sheets as well as woven fabrics. -convergence of the discrete model towards the inextensible Euler’s beam model is proven and the result is established for placements in Rd in large deformation regime.| File | Dimensione | Formato | |
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