Large deformation analysis of laminated shells by ftnife element method

Abstract A finite element formulation is presented for conducting large deformation analysis of laminated anisotropic shells. The element adopted herein is a “degenerated” three-dimensional isoparametric element. Derivations of the nonlinear geometric element stiffness matrices were made on the basis of updated Lagrangian description. The numerical formulations of the shell element were implemented into a nonlinear finite program. Numerical characteristics of the element with respect to the mesh size and the use of integration orders were studied for a plate with simply supports and clamped supports. In addition, several examples are included to demonstrate the utility of the element

[1]  Ahmed K. Noor,et al.  Nonlinear shell analysis via mixed isoparametric elements , 1977 .

[2]  Said Bolourchi On finite element nonlinear analysis of general shell structures. , 1979 .

[3]  Ahmed K. Noor,et al.  Finite element analysis of anisotropic plates , 1977 .

[4]  O. C. Zienkiewicz,et al.  Analysis of thick and thin shell structures by curved finite elements , 1970 .

[5]  R. Leicester Finite Deformations of Shallow Shells , 1968 .

[6]  Raghu Natarajan,et al.  Finite element analysis of laminated composite plates , 1979 .

[7]  P. G. Bergan,et al.  Nonlinear analysis of free-form shells by flat finite elements , 1978 .

[8]  Ray W. Clough,et al.  Improved numerical integration of thick shell finite elements , 1971 .

[9]  E. Hinton,et al.  A study of quadrilateral plate bending elements with ‘reduced’ integration , 1978 .

[10]  L. Donnell,et al.  Beams, plates and shells , 1976, Finite Element Analysis.

[11]  P. C. Chou,et al.  Elastic Constants of Layered Media , 1972 .

[12]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[13]  Rodney Hill,et al.  Some basic principles in the mechanics of solids without a natural time , 1959 .

[14]  K. P. Rao,et al.  A rectangular laminated anisotropic shallow thin shell finite element , 1978 .

[15]  O. C. Zienkiewicz,et al.  Reduced integration technique in general analysis of plates and shells , 1971 .

[16]  Robert D. Cook,et al.  Some modifications of an isoparametric shell element , 1973 .

[17]  A. Mawenya,et al.  Finite element bending analysis of multilayer plates , 1974 .

[18]  Thomas J. R. Hughes,et al.  A simple and efficient finite element for plate bending , 1977 .

[19]  L. A. Schmit,et al.  SYNOPTIC: Finite Deflection Discrete Element Analysis of Sandwich Plates and Cylindrical Shells with Laminated Faces , 1970 .

[20]  Ray W. Clough,et al.  Large deflection analysis of plates and shallow shells using the finite element method , 1973 .

[21]  Worsak Kanok-Nukulchai,et al.  A simple and efficient finite element for general shell analysis , 1979 .

[22]  Robert D. Cook,et al.  More on reduced integration and isoparametric elements , 1972 .

[23]  J. Rice,et al.  Finite-element formulations for problems of large elastic-plastic deformation , 1975 .

[24]  Richard M. Barker,et al.  A Finite-Element Analysis Including Transverse Shear Effects for Applications to Laminated Plates , 1971 .

[25]  A. B. Sabir,et al.  The applications of finite elements to large deflection geometrically nonlinear behaviour of cylindrical shells , 1972 .

[26]  John Argyris,et al.  A simple triangular facet shell element with applications to linear and non-linear equilibrium and elastic stability problems , 1977 .

[27]  Rodney Hill,et al.  On uniqueness and stability in the theory of finite elastic strain , 1957 .