Abstract
We study the problem of buckling and postbuckling of a plate under in-plane loads. This system exhibits a complex phase diagram with two distinct regimes: one near the instability for buckling and the other characterized by isometric deformations. Here, we show that the equations of elasticity for this problem can be reduced to the well-known Swift–Hohenberg equation as a leading term in a Galerkin projection. Higher order terms in the expansion are also computed to illustrate the convergence of the analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.