Data di Pubblicazione:
2017
Citazione:
Arbitrary order 2D virtual elements for polygonal meshes : part II, inelastic problem / E. Artioli, L. Beirão da Veiga, C. Lovadina, E. Sacco. - In: COMPUTATIONAL MECHANICS. - ISSN 0178-7675. - 60:4(2017), pp. 643-657. [10.1007/s00466-017-1429-9]
Abstract:
The present paper is the second part of a twofold work, whose first part is reported in Artioli et al. (Comput Mech, 2017. doi:10.1007/s00466-017-1404-5), concerning a newly developed Virtual element method (VEM) for 2D continuum problems. The first part of the work proposed a study for linear elastic problem. The aim of this part is to explore the features of the VEM formulation when material nonlinearity is considered, showing that the accuracy and easiness of implementation discovered in the analysis inherent to the first part of the work are still retained. Three different nonlinear constitutive laws are considered in the VEM formulation. In particular, the generalized viscoelastic model, the classical Mises plasticity with isotropic/kinematic hardening and a shape memory alloy constitutive law are implemented. The versatility with respect to all the considered nonlinear material constitutive laws is demonstrated through several numerical examples, also remarking that the proposed 2D VEM formulation can be straightforwardly implemented as in a standard nonlinear structural finite element method framework.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Material nonlinearity; Plasticity; Shape memory alloy; Virtual element method; Viscoelasticity; Ocean Engineering; Mechanical Engineering; Computational Theory and Mathematics; Computational Mathematics; Applied Mathematics
Elenco autori:
E. Artioli, L. Beirão da Veiga, C. Lovadina, E. Sacco
Link alla scheda completa: