Geodesic
Bifurcations of generalized von Kármán equations for circular viscoelastic plates
Applications of Mathematics, Tome 35 (1990) no. 4, pp. 302-314.

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The paper deals with the analysis of generalized von Kármán equations which describe stability of a thin circular clamped viscoelastic plate of constant thickness under a uniform compressive load which is applied along its edge and depends on a real parameter, and gives results for the linearized problem of stability of viscoelastic plates. An exact definition of a bifurcation point for the generalized von Kármán equations is given. Then relations between the critical points of the linearized problem and the bifurcation points are analyzed.
DOI : 10.21136/AM.1990.104412
Classification : 35B32, 47H15, 73F15, 73H05, 73K10, 74G60, 74K20
Mots-clés : von Kármán equations; viscoelastic plates; bifurcations; Volterra operator; relations between critical points and bifurcation points; circular clamped von Kármán plates; linearized viscoelastic stability problem; operator formulation 
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     author = {Brilla, Igor},
     title = {Bifurcations of generalized von {K\'arm\'an} equations for circular viscoelastic plates},
     journal = {Applications of Mathematics},
     pages = {302--314},
     publisher = {mathdoc},
     volume = {35},
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     doi = {10.21136/AM.1990.104412},
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     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104412/}
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Brilla, Igor. Bifurcations of generalized von Kármán equations for circular viscoelastic plates. Applications of Mathematics, Tome 35 (1990) no. 4, pp. 302-314. doi : 10.21136/AM.1990.104412. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104412/

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