Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



On local stability of a finitely deformed solid subjected to follower type loads

Author: S. Nemat-Nasser
Journal: Quart. Appl. Math. 26 (1968), 119-129
DOI: https://doi.org/10.1090/qam/99863
MathSciNet review: QAM99863
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Abstract: In this study the problem of the local stability (stability in the small) of a finitely deformed solid subjected to a set of follower type surface loads is analyzed, and a necessary, and a sufficient condition for asymptotic stability is established. Certain implications of the commonly used modal analysis are also investigated, and necessary and sufficient conditions for stability are formulated.

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DOI: https://doi.org/10.1090/qam/99863
Article copyright: © Copyright 1968 American Mathematical Society

American Mathematical Society