Qh. Qin, POSTBUCKLING ANALYSIS OF THIN PLATES BY A HYBRID TREFFTZ FINITE-ELEMENT METHOD, Computer methods in applied mechanics and engineering, 128(1-2), 1995, pp. 123-136
A hybrid Trefftz finite element (HT FE) model for postbuckling analysi
s of thin plates is presented, based on a modified variational princip
le. With the aid of incremental form of equilibrium equations, all non
-linear terms may be viewed as pseudo-loads, and then the in-plane and
out-of-plane equations can be uncoupled. As a consequence, the soluti
on procedure for the postbuckling plate becomes very simple. Two numer
ical examples are considered to illustrate the correctness and accurac
y of the proposed formulation.