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The Föppl–von Kármán plate theory as a low energy Γ-limit of nonlinear elasticity

✍ Scribed by Gero Friesecke; Richard D James; Stefan Müller

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 83 KB
Volume: 335
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(02)02388-9

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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. (~