Meshless analysis of shear deformable shells: the linear model

Autor(es)

Costa, Jorge C. ^[1] ; Tiago, Carlos M. ^[2] ; Pimenta, Paulo M. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Polytech Sch, BR-05424970 Sao Paulo - Brazil

^[2] Univ Tecn Lisboa, Inst Super Tecn, Lisbon - Portugal

• Tipo de documento: Artigo Científico
• Fonte: COMPUTATIONAL MECHANICS; v. 52, n. 4, p. 763-778, OCT 2013.
• Citações Web of Science: 5

Resumo

This work develops a kinematically linear shell model departing from a consistent nonlinear theory. The initial geometry is mapped from a flat reference configuration by a stress-free finite deformation, after which, the actual shell motion takes place. The model maintains the features of a complete stress-resultant theory with Reissner-Mindlin kinematics based on an inextensible director. A hybrid displacement variational formulation is presented, where the domain displacements and kinematic boundary reactions are independently approximated. The resort to a flat reference configuration allows the discretization using 2-D Multiple Fixed Least-Squares (MFLS) on the domain. The consistent definition of stress resultants and consequent plane stress assumption led to a neat formulation for the analysis of shells. The consistent linear approximation, combined with MFLS, made possible efficient computations with a desired continuity degree, leading to smooth results for the displacement, strain and stress fields, as shown by several numerical examples. (AU)

• Processo FAPESP: 09/04525-5 - Análise Linear de Cascas com Métodos sem Malha
• Beneficiário: Jorge Carvalho Costa
• Modalidade de apoio: Bolsas no Brasil - Mestrado