Postbuckling finite element analysis of composite panels

Abstract A three-dimensional degenerated isoparametric multilayer finite element is described in conjunction with an automatic incremental/iterative method to find the complete non-linear response of arbitrarily laminated composite panels under destabilizing loads. In the prebuckling range of the structural response, incremental bifurcation analyses are combined with an arclength algorithm to control the step size; for the postbuckling path, the increment size is determined automatically by a new recurrence formula. The good behaviour of this proposed procedure is illustrated on two structural applications, namely a thick hinged multilayer cylindrical shell subjected to a transverse load and a highly curved cylindrical composite panel under in-plane compression.

[1]  M. Crisfield A FAST INCREMENTAL/ITERATIVE SOLUTION PROCEDURE THAT HANDLES "SNAP-THROUGH" , 1981 .

[2]  J. Wiggenraad The postbuckling behaviour of blade-stiffened carbon-epoxy panels loaded in compression , 1985 .

[3]  J. N. Reddy,et al.  Analysis of laminated composite shells using a degenerated 3‐D element , 1984 .

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

[5]  James H. Starnes,et al.  Postbuckling behavior of selected flat stiffened graphite-epoxy panels loaded in compression , 1982 .

[6]  Rakesh K. Kapania,et al.  Geometrically Nonlinear Finite Element Analysis of Imperfect Laminated Shells , 1986 .

[7]  Pierre Beckers,et al.  Homogenization and pre‐integration techniques for multilayer composite and sandwich finite element models , 1989 .

[8]  K. Bathe,et al.  ON THE AUTOMATIC SOLUTION OF NONLINEAR FINITE ELEMENT EQUATIONS , 1983 .

[9]  Sergio Idelsohn,et al.  An effective automatic incremental/iterative method for static nonlinear structural analysis , 1989 .

[10]  Giulio Romeo,et al.  Experimental investigation on advanced composite-stiffened structures under uniaxial compression and bending , 1986 .

[11]  Narendra S. Khot,et al.  Further comparison of the numerical and experimental buckling behaviors of composite panels , 1983 .

[12]  C. Hong,et al.  Buckling behavior of laminated composite cylindrical panels under axial compression , 1988 .

[13]  E. Riks Some computational aspects of the stability analysis of nonlinear structures , 1984 .