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The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity

✍ Scribed by Helmut Abels; Maria Giovanna Mora; Stefan Müller

Publisher
Springer
Year
2010
Tongue
English
Weight
272 KB
Volume
41
Category
Article
ISSN
0944-2669

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✍ G. Perla Menzala; E. Zuazua 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 273 KB

We prove that the one-dimensional von K~rm~n system of equations describing the planar motion of a uniform prismatic beam of length L approaches (weakly) to a nonlocal beam equation of Timoshenko's type as a suitable parameter tends to zero. (~