Buckling analysis of rotationally periodic laminated composite shells by a new multilayered shell element

Abstract In this paper a new finite element (FE) with relative degrees-of-freedom (DOF) is developed for modeling composite shells with arbitrary number of layers. With this shell element, satisfactory resolution can be ensured even if a relatively coarse FE mesh is employed. Moreover, this element can be easily connected with other solid type elements. All of these features enable its promising application in the simulation of modern composite structures, for example the buckling analysis of rotationally periodic laminated composite shells. For this kind of problem, a computational strategy that consists of the rotationally periodic FE method and this new shell element is adopted in this paper. The efficiency and accuracy of this proposed computational strategy are illustrated by two benchmarks as well as an implementation to a large scale practical structure.

[1]  A. Noor,et al.  Assessment of Computational Models for Multilayered Composite Shells , 1990 .

[2]  Thomas J. R. Hughes,et al.  A LARGE DEFORMATION FORMULATION FOR SHELL ANALYSIS BY THE FINITE ELEMENT METHOD , 1981 .

[3]  Zhangzhi Cen,et al.  Finite element buckling analysis of rotationally periodic laminated composite shells , 2002 .

[4]  J. N. Reddy,et al.  Exact Solutions of Moderately Thick Laminated Shells , 1984 .

[5]  Edward A. Sadek,et al.  Application of methods of feasible directions to structural optimization problems , 1983 .

[6]  George J. Simitses,et al.  Analysis of anisotropic laminated cylindrical shells subjected to destabilizing loads. Part I: Theory and solution procedure , 1991 .

[7]  J. Reddy.  An evaluation of equivalent-single-layer and layerwise theories of composite laminates , 1993 .

[8]  Ning Hu,et al.  The stress analysis of sandwich shells faced with composite sheets based on 3D FEM , 2003 .

[9]  G. Simitses,et al.  Analysis of anisotropic laminated cylindrical shells subjected to destabilizing loads. Part II: Numerical results , 1991 .

[10]  J. Li,et al.  Buckling analysis of rotationally periodic structures using shell element with relative degrees of freedom , 2001 .

[11]  Edward L. Wilson,et al.  Incompatible Displacement Models , 1973 .

[12]  Edward L. Wilson,et al.  Numerical methods in finite element analysis , 1976 .

[13]  J. Reddy.  A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[14]  Moussa Karama,et al.  Comparison of various laminated plate theories , 1997 .

[15]  C. Cichon,et al.  Stability of structures by finite element methods , 1994 .

[16]  S. Fenves.  Numerical and computer methods in structural mechanics , 1973 .

[17]  Heinrich Rothert,et al.  A solution of laminated cylindrical shells using an unconstrained third-order theory , 1995 .