In this paper, beam models accounting for non-linear elastic bimodular constitutive behavior and frictionless unilateral contact conditions are rationally deduced from three-dimensional elasticity by means of a variational constrained approach. Consistent internal constraints on both stress and strain dual fields are enforced through a modified Hu-Washizu functional, obtained by a non-standard application of Lagrange multipliers and constrained in the convex set of the admissible contact displacements. A bimodular strain energy density is adopted and for both no-shear and first-order shear deformable beam models a generalized variational formulation of Signorini's problem is recovered. Finally, several simple study cases are investigated, highlighting the influence of the bimodular constitutive law.

Maceri, F., & Vairo, G. (2013). Beams comprising unilateral material in frictionless contact: a variational approach with constraints in dual spaces. In G.E. Stavroulakis (a cura di), Recent advances in contact mechanics (pp. 275-292). Springer-Verlag [10.1007/978-3-642-33968-4_17].

Beams comprising unilateral material in frictionless contact: a variational approach with constraints in dual spaces

MACERI, FRANCO;VAIRO, GIUSEPPE
2013

Abstract

In this paper, beam models accounting for non-linear elastic bimodular constitutive behavior and frictionless unilateral contact conditions are rationally deduced from three-dimensional elasticity by means of a variational constrained approach. Consistent internal constraints on both stress and strain dual fields are enforced through a modified Hu-Washizu functional, obtained by a non-standard application of Lagrange multipliers and constrained in the convex set of the admissible contact displacements. A bimodular strain energy density is adopted and for both no-shear and first-order shear deformable beam models a generalized variational formulation of Signorini's problem is recovered. Finally, several simple study cases are investigated, highlighting the influence of the bimodular constitutive law.
Settore ICAR/08 - Scienza delle Costruzioni
English
Rilevanza internazionale
Capitolo o saggio
ISSN serie: 1613-7736
http://link.springer.com/chapter/10.1007%2F978-3-642-33968-4_17
Maceri, F., & Vairo, G. (2013). Beams comprising unilateral material in frictionless contact: a variational approach with constraints in dual spaces. In G.E. Stavroulakis (a cura di), Recent advances in contact mechanics (pp. 275-292). Springer-Verlag [10.1007/978-3-642-33968-4_17].
Maceri, F; Vairo, G
Contributo in libro
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/82090
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact