A Triangular Finite Element for the Geometrically Nonlinear Analysis of Composite Shells

Erez Gal; R. Levy

doi:10.4203/ccp.77.14

A Triangular Finite Element for the Geometrically Nonlinear Analysis of Composite Shells

Erez Gal, R. Levy

Department of Civil and Environmental Engineering

Ben-Gurion University of the Negev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper is devoted to the development of a new geometrically nonlinear finite element for composite-material shell structures. Nonlinear analysis of composite-material shell structures using the finite element method and the search for a satisfactory finite element for shell structural nonlinear analysis has been active for decades. One main approach for formulating shell finite elements is to enhance a linear shell element to perform nonlinear analysis by adding an appropriate geometric stiffness matrix and implementing a full Newton-Raphson procedure to the linear analysis computer program (Argyris et al. [1], Mohan and Kapania [2]). The presented finite element is, in a broad view, a part of this approach.

Original language	American English
Title of host publication	Proceedings of the Ninth International Conference on Civil and Structural Engineering Computing
Editors	B.H.V. Topping
DOIs	https://doi.org/10.4203/ccp.77.14
State	Published - 23 Jun 2021

Keywords

Composite shells
Geometric stiffness matrix
Lamina
Large rotation
Nonlinear analysis
snap through

Access to Document

10.4203/ccp.77.14

Cite this

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title = "A Triangular Finite Element for the Geometrically Nonlinear Analysis of Composite Shells",

abstract = "This paper is devoted to the development of a new geometrically nonlinear finite element for composite-material shell structures. Nonlinear analysis of composite-material shell structures using the finite element method and the search for a satisfactory finite element for shell structural nonlinear analysis has been active for decades. One main approach for formulating shell finite elements is to enhance a linear shell element to perform nonlinear analysis by adding an appropriate geometric stiffness matrix and implementing a full Newton-Raphson procedure to the linear analysis computer program (Argyris et al. [1], Mohan and Kapania [2]). The presented finite element is, in a broad view, a part of this approach.",

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AB - This paper is devoted to the development of a new geometrically nonlinear finite element for composite-material shell structures. Nonlinear analysis of composite-material shell structures using the finite element method and the search for a satisfactory finite element for shell structural nonlinear analysis has been active for decades. One main approach for formulating shell finite elements is to enhance a linear shell element to perform nonlinear analysis by adding an appropriate geometric stiffness matrix and implementing a full Newton-Raphson procedure to the linear analysis computer program (Argyris et al. [1], Mohan and Kapania [2]). The presented finite element is, in a broad view, a part of this approach.

KW - Composite shells

KW - Geometric stiffness matrix

KW - Lamina

KW - Large rotation

KW - Nonlinear analysis

KW - snap through

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