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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Meshless analysis of shear deformable shells: the linear model

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Author(s):
Costa, Jorge C. [1] ; Tiago, Carlos M. [2] ; Pimenta, Paulo M. [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Polytech Sch, BR-05424970 Sao Paulo - Brazil
[2] Univ Tecn Lisboa, Inst Super Tecn, Lisbon - Portugal
Total Affiliations: 2
Document type: Journal article
Source: COMPUTATIONAL MECHANICS; v. 52, n. 4, p. 763-778, OCT 2013.
Web of Science Citations: 5
Abstract

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)

FAPESP's process: 09/04525-5 - Linear Analysis of Shells with Meshless Methods
Grantee:Jorge Carvalho Costa
Support Opportunities: Scholarships in Brazil - Master