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
2013-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.