Rj. Guo et A. Chattopadhyay, DEVELOPMENT OF A FINITE-ELEMENT-BASED DESIGN SENSITIVITY ANALYSIS FORBUCKLING AND POSTBUCKLING OF COMPOSITE PLATES, Mathematical problems in engineering, 1(3), 1995, pp. 255-274
A finite element based sensitivity analysis procedure is developed for
buckling and postbuckling of composite plates. This procedure is base
d on the direct differentiation approach combined with the reference v
olume concept. Linear elastic material model and nonlinear geometric r
elations are used. The sensitivity analysis technique results in a set
of linear algebraic equations which are easy to solve. The procedure
developed provides the sensitivity derivatives directly from the curre
nt load and responses by solving the set of linear equations. Numerica
l results are presented and are compared with those obtained using fin
ite difference technique. The results show good agreement except at po
ints near critical buckling load where discontinuities occur. The proc
edure is very efficient computationally.