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 SM ISO690:2012BANICHUK, Nikolay, BARSUK, Alexander A., JERONEN, J., TUOVINEN, Tero, NEITTAANMAKI, Pekka. Some General Methods. Dusseldorf: 2020, pp. 145-177. ISSN 09250042DOI: 10.1007/978-3-030-23803-2_4 |
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 Solid Mechanics and its Applications | ||||||
| 2020 | ||||||
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| DOI:https://doi.org/10.1007/978-3-030-23803-2_4 | ||||||
| Pag. 145-177 | ||||||
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In this chapter, we take a brief general look into elastic stability in the setting of classical solid mechanics. We introduce the different types of stability loss, and then look at conditions under which merging of eigenvalues may occur. We consider a problem where applying symmetry arguments allows us to eliminate multiple (merged) eigenvalues, thus reducing the problem to determining a classical simple eigenvalue. We discuss a general technique to look for bifurcations in problems formulated as implicit functionals. Finally, we consider a variational approach to the stability analysis of an axially moving panel (a plate undergoing cylindrical deformation). |
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DOI: 10.1007/978-3-030-23803-2_4
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