A C(0) 3-NODE SHELL ELEMENT FOR NONLINEAR STRUCTURAL-ANALYSIS

Citation
P. Boisse et al., A C(0) 3-NODE SHELL ELEMENT FOR NONLINEAR STRUCTURAL-ANALYSIS, International journal for numerical methods in engineering, 37(14), 1994, pp. 2339-2364
Citations number
37
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
ISSN journal
00295981
Volume
37
Issue
14
Year of publication
1994
Pages
2339 - 2364
Database
ISI
SICI code
0029-5981(1994)37:14<2339:AC3SEF>2.0.ZU;2-L
Abstract
A C0 three-node shell finite element well suited to non-linear calcula tions is proposed. The element is based on Mindlin kinematics and the degenerated solid approach. Linear Lagrange functions are used for geo metry and displacement interpolations. The formulation is made in the natural material frame. A strain interpolation avoids shear locking an d an intermediate material frame related to the element sides is intro duced in order to fix nodal transverse shear strain components. The mo difications of strain interpolations concern both the non-linear and l inear parts of strain and are taken into account in all calculations, among others in the expression of the initial stress stiffness matrix. A single set of integration points on the normal at the centre of gra vity is sufficient, which is very interesting for numerical efficiency especially in the case of non-linear analyses.