Journal of Theoretical
and Applied Mechanics

37, 4, pp. 893-908, Warsaw 1999

Post-buckling analysis of elastic-plastic plates basing on the Tsai-Wu criterion

Ryszard Grądzki, Katarzyna Kowal-Michalska
This work deals with the analysis of post-buckling state in rectangular plates subject to uniaxial in-plane compression within the elastic and elasto-plastic range. The problems of initial out-of-flatness and different geometry of rectangular plate are considered. The analysis is carried out on the basis of non-linear theory of plates involving plasticity. It is assumed that the yield values in tension and compression tests of a plate material are different. Thus, the Tsai-Wu Criterion is applied. The solution is obtained an the analytical-numerical way using the Prandtl-Reuss equations. As a result of numerical calculations the load-shortening curves for the considered plates are obtained.
Keywords: nonlinear stability; elastic-plastic plates