A Co-Rotational 8-Node Resultant Shell Element for Progressive Nonlinear Dynamic Failure Analysis of Laminated Composite Structures

A nonlinear resultant shell element is developed for the solution of problems of composite plates and shells undergoing nonlinear static and nonlinear dynamic behavior with progressive layer failure. The formulation of the tangent stiffness is defined on the mid-surface and is efficient for analyzing thick laminated plates and shells by incorporating bending moments and transverse shear resultant forces in the geometric stiffness. The composite element is free of both membrane and shear locking behavior by using the assumed natural strain method, such that the element also performs very well as thin laminate shells. An equilibrium approach is used to derive the improved transverse shear stiffness, instead of using a shear correction factor. The proposed formulation is computationally efficient and the test results show good agreement with references. The composite shell element is extended to determine ply failures in laminated composite structures undergoing nonlinear static or dynamic behavior. The failure analysis is done by first, computing for the inter-laminar stresses at each gauss point in an element. Having obtained the stresses in each layer, checking for failure is performed based on a chosen failure criterion. Four failure criteria are available to enable the user to adopt the appropriate criterion for the type of problem parameters present.

[1]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[2]  Taehyo Park,et al.  Postbuckling analysis of composite panels with imperfection damage , 1998 .

[3]  J. N. Reddy,et al.  Geometrically nonlinear transient analysis of laminated composite plates , 1983 .

[4]  S. J. Lee,et al.  A NINE-NODE ASSUMED STRAIN FINITE ELEMENT FOR LARGE-DEFORMATION ANALYSIS OF LAMINATED SHELLS , 1998 .

[5]  Yavuz Başar,et al.  Refined shear-deformation models for composite laminates with finite rotations , 1993 .

[6]  Ekkehard Ramm,et al.  Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates , 1994 .

[7]  R. Hill.  The mathematical theory of plasticity , 1950 .

[8]  Jr Norman F. Knight,et al.  Evaluation of a Progressive Failure Analysis Methodology for Laminated Composite Structures , 1997 .

[9]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[10]  T. Y. Yang,et al.  Free and Forced Nonlinear Dynamics of Composite Shell Structures , 1987 .

[11]  Norman F. Knight,et al.  STAGS computational procedure for progressive failure analysis of laminated composite structures , 2002 .

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

[13]  J. N. Reddy,et al.  A higher-order theory for geometrically nonlinear analysis of composite laminates , 1987 .

[14]  Taehyo Park,et al.  An 8-node assumed strain element with explicit integration for isotropic and laminated composite shells , 2002 .

[15]  F. L. Matthews,et al.  Large Deflection Behavior of Simply Supported Laminated Panels Under In-Plane Loading , 1985 .

[16]  J. Argyris.  An excursion into large rotations , 1982 .

[17]  C. M. Dakshina Moorthy,et al.  Non-linear progressive failure analysis of laminated composite plates , 1995 .

[18]  Gilson R. Lomboy,et al.  A co-rotational 8-node assumed strain shell element for postbuckling analysis of laminated composite plates and shells , 2003 .

[19]  P. Geubelle,et al.  Impact-induced delamination of composites: A 2D simulation , 1998 .

[20]  Raimund Rolfes,et al.  Improved transverse shear stresses in composite finite elements based on first order shear deformation theory , 1997 .

[21]  K. Chandrashekhara,et al.  Geometrically non-linear transient analysis of laminated, doubly curved shells , 1985 .

[22]  Anthony N. Palazotto,et al.  Progressive failure analysis of a composite shell , 2001 .

[23]  David Nicholas Bates,et al.  The mechanics of thin walled structures, with special reference to finite rotations , 1987 .

[24]  Ozden O. Ochoa,et al.  Analysis of progressive failure in composites , 1987 .

[25]  J. H. Starnes,et al.  Postbuckling and failure characteristics of selected flat rectangular graphite-epoxy plates loaded in compression , 1981 .

[26]  J. N. Reddy,et al.  Postbuckling response and failure prediction of graphite-epoxy plates loaded in compression , 1992 .

[27]  S.,et al.  FINITE ELEMENT ANALYSIS OF PROGRESSIVE FAILURE IN LAMINATED COMPOSITE PLATES , 2002 .

[28]  Peter Wriggers,et al.  A nonlinear composite shell element with continuous interlaminar shear stresses , 1993 .

[29]  Tarun Kant,et al.  Non-linear dynamics of laminated plates with a higher-order theory and C0 finite elements , 1991 .

[30]  H. Kebari,et al.  A stabilized 9‐node non‐linear shell element , 1992 .

[31]  Anthony N. Palazotto,et al.  Progressive failure analysis of composite cylindrical shells considering large rotations , 1998 .

[32]  G.A.O. Davies,et al.  Impact damage prediction and failure analysis of heavily loaded, blade-stiffened composite wing panels , 1999 .