Buckling and post-buckling behavior of elliptical plates: Part I-analysis

Herzl Chai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A polynomial series expansion for displacements is used in conjunction with the Rayleigh-Ritz energy method to produce buckling and post-buckling stress solutions for an elliptically-shaped surface layer that has been delaminated from the main load-bearing body. Plate deformations are induced by a combined in-plane displacement field applied to the plate boundary and normal pressure. Convergence of the plate solution is assessed by systematically increasing the number ofdisplacement terms in the series expansion. The convergence of membrane and bending stresses at the plate boundary was generally slow and nonuniform. The degrees-offreedom necessaryfor a satisfactory solution typically increase with increasingcomplexity or magnitude of the plate deformations. By employing as many as 77 displacement terms, practically exact stress solutions are obtained for a wide variety of basic delamination plate problems. The proposed solution procedure is highly efficient and economical, and it may be easily extended to other plate geometries or loading conditions.

Original languageEnglish
Pages (from-to)981-988
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Issue number4
StatePublished - Dec 1990
Externally publishedYes


Dive into the research topics of 'Buckling and post-buckling behavior of elliptical plates: Part I-analysis'. Together they form a unique fingerprint.

Cite this