A quasi-conforming triangular laminated composite shell element based on a refined first-order theory
type: Item
instance of: scholarly article
title: A quasi-conforming triangular laminated composite shell element based on a refined first-order theory
zbMATH Open document ID: 0790.73067
DOI: 10.1007/BF00350231
author: Bao-Zong Huang
author: Vijay B. Shenoy
author: Satya N. Atluri
published in: Computational Mechanics
publication date: 1994-06-28T00:00:00Z
review text: A ``quasi-conforming'' triangular laminated shell element based on a refined first-order shear deformation theory is presented. The Hu-Washizu variational principle, involving strain and displacement fields as variables, with stresses being considered as Lagrange multipliers, is used to develop the laminate composite shell element. Both strains and displacements are discretized in the element, while displacements alone are discretized at the boundary. The inter-element \(C^ 1\) continuity is satisfied a posteriori in a weak form. Due to the importance of rotations and shear deformation in the geometrically nonlinear analyses of shells, seven degrees of freedom per node are chosen, viz. three displacements, two first-derivatives in the in-plane directions of the out-of-plane displacement, and two transverse shear strains at each node. To consider the effect of transverse shear deformation on the global behavior of the laminated composite shell, the Reissner-Mindlin first-order theory is adopted.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 516718
zbMATH Keywords: warping
zbMATH Keywords: Hu-Washizu variational principle
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: seven degrees of freedom per node
zbMATH Keywords: Reissner-Mindlin first-order theory
describes a project that uses: ABAQUS
MaRDI profile type: Publication
cites work: A new cylindrical shell finite element based on simple independent strain functions
cites work: Q4194548
cites work: Q3217726
cites work: Q3226316
cites work: A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates
cites work: An accurate, simple theory of the statics and dynamics of elastic plates
cites work: Q5808124
cites work: Stress analysis of holes in angle-ply laminates: An efficient assumed stress “special-hole-element” approach and a simple estimation method
cites work: Advances and trends in computational structural mechanics
cites work: A Simple Higher-Order Theory for Laminated Composite Plates
cites work: Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates
cites work: The Application of Newton’s Method to the Problem of Elastic Stability
cites work: Postbuckling response of laminated plates under uniaxial compression
cites work: ON THE BOUNDS OF EIGENVALUES
cites work: On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle
cites work: Postbuckling analysis of stiffened laminated composite panels, using a higher-order shear deformation theory
cites work: Post-buckling analysis of shallow shells by the field-boundary-element method
cites work: Q5647993
full work available at URL: https://doi.org/10.1007/bf00350231
OpenAlex ID: W2017523295
description: scientific article; zbMATH DE number 516718