Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Shear instabilities for the buckling of non-linearly elastic plates


Author: Pablo V. Negrón-Marrero
Journal: Quart. Appl. Math. 49 (1991), 477-493
MSC: Primary 73H05; Secondary 35B32, 58C27, 73K10
DOI: https://doi.org/10.1090/qam/1121680
MathSciNet review: MR1121680
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Abstract: In this work we apply singularity theory and global bifurcation theory to the problem of the axisymmetric buckling of circular plates. We show that a certain shear parameter can be used as an unfolding parameter and we get detailed local and global structure of the solution set. We get conditions for a singular point to be of codimension one.


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DOI: https://doi.org/10.1090/qam/1121680
Article copyright: © Copyright 1991 American Mathematical Society


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