Influence of Membrane Stresses on Postbuckling of Rectangular Plates Using a Nonlinear Elastic 3-D Cosserat Brick Element |
| |
Authors: | D Klepach M B Rubin |
| |
Affiliation: | (1) Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, 32000 Haifa, Israel |
| |
Abstract: | This paper has two main objectives. The first is to examine the influence of membrane stresses on postbuckled deformations
of nonlinear elastic isotropic rectangular plates. The second is to further examine the accuracy of a new 3-D Cosserat eight
noded brick element (Nadler and Rubin in Int J Solids Struct 40: 4585–4614, 2003) which was developed within the context of
the theory of a Cosserat point. The equations of the Cosserat element include both material and geometric nonlinearities.
A number of example problems are considered which examine predictions of the Cosserat element for beams and plates and comparison
has been made with results from the commercial codes ANSYS and ADINA. Also, the approximate nonlinear postbuckling solution
described in Timoshenko and Gere (Theory of elastic stability, Mc Graw-Hill, New York) is shown to be more limited than originally
expected. These results suggest that the Cosserat element is robust, can perform well under extreme conditions and is capable
of modeling combinations of three-dimensional bodies with attached thin structures. |
| |
Keywords: | Cosserat Elastic Finite element Membrane stresses Nonlinear Plates Postbuckling |
本文献已被 SpringerLink 等数据库收录! |
|