Journal ArticleDOI
A geometrically non-linear quasi-conforming nine-node quadrilateral degenerated solid shell element
Yupu Guan,Limin Tang +1 more
TLDR
In this paper, a geometrically non-linear quasi-conforming nine-node quadrilateral degenerated solid shell element has been constructed from generalization of a linear quasilinear finite element method.Abstract:
In this paper, a geometrically non-linear quasi-conforming nine-node quadrilateral degenerated solid shell element has been constructed from generalization of a linear quasi-conforming nine-node quadrilateral degenerated solid shell element, 10 based upon the non-linear quasi-conforming finite element method. First, the geometrical description and displacement model of the nine-node quadrilateral degenerated solid shell element is given. Then, the non-linear quasi-conforming finite element method is discussed and assumed strains and weighed functions are given. Last, analysis of numerical examples for a clamped square plate, a circular arch, a spherical shell, two cylindrical shells, the patch test and a simply supported square plate is carried out. The results are compared with exact and other finite element solutions. The results indicate that the shell element in the paper is accurate and efficientread more
Citations
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Journal ArticleDOI
A survey of recent shell finite elements
TL;DR: A comprehensive survey of the literature on curved shell finite elements can be found in this article, where the first two present authors and Liaw presented a survey of such literature in 1990 in this journal.
Journal ArticleDOI
Geometrically Non-linear Analysis of Functionally Graded Material (FGM) Plates and Shells using a Four-node Quasi-Conforming Shell Element
TL;DR: In this article, the effect of volume fraction of the constituent materials in the mechanical behavior of FGM plates and shells is investigated, where the material properties are assumed to be varied in the thickness direction according to a sigmoid function in terms of the volume fraction.
Journal ArticleDOI
Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)
TL;DR: A bibliographical review of the finite element methods applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view is given.
Journal ArticleDOI
Mechanical vibration and buckling analysis of fgm plates and shells using a four-node quasi-conforming shell element
TL;DR: In this article, the authors investigated the natural frequencies and buckling loads of functionally graded material (FGM) plates and shells, using a quasi-conforming shell element that accounts for the transverse shear strains and rotary inertia.
Journal ArticleDOI
Nonlinear Formulations of a Four-Node Quasi-Conforming Shell Element
TL;DR: In this article, a nonlinear formulation based on the quasi-conforming technique that includes geometric and material nonlinearity is presented in the framework of an updated Lagrangian stress resultant, co-rotational approach.
References
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Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
Analysis of thick and thin shell structures by curved finite elements
TL;DR: In this article, a general formulation for the curved, arbitrary shape of thick shell finite elements is presented along with a simplified form for axisymmetric situations, which is suitable for thin to thick shell applications.
Journal ArticleDOI
A proposed standard set of problems to test finite element accuracy
TL;DR: A proposed standard set of test problems is described and applied to representative quadrilateral plate and solid brick finite elements, some of which have become de facto standards for comparing the accuracy of finite elements.
Journal ArticleDOI
Nonlinear finite element analysis of shells: Part I. three-dimensional shells
Thomas J. R. Hughes,Wing Kam Liu +1 more
TL;DR: In this article, a nonlinear finite element formulation is presented for the three-dimensional quasistatic analysis of shells which accounts for large strain and rotation effects, and accommodates a fairly general class of nonlinear, finite-deformation constitutive equations.
Journal ArticleDOI
A geometric and material nonlinear plate and shell element
TL;DR: In this article, a displacement-based finite element is presented for linear and geometric and material nonlinear analysis of plates and shells, which can be implemented as a variable-number-nodes element and can also be employed as a fully compatible transition element to model shell intersections.
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