Analysis of a gradient-elastic beam on Winkler foundation and applications to nano-structure modelling
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- 作者：D.M. Maniasa ; T.K. Papathanasioub ; S.I. Markolefasc ; E.E. Theotokogloua ; stathis@central.ntua.gr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Gradient elasticity ; Euler-Bernoulli beams ; Winkler foundation
- 刊名：European Journal of Mechanics - A/Solids
- 出版年：2016
- 出版时间：March-April 2016
- 年：2016
- 卷：56
- 期：Complete
- 页码：45-58
- 全文大小：3823 K
文摘
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A simplified strain gradient elastic beam model on Winkler foundation is analyzed.
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Higher-continuity Hermite finite elements have been developed for the solution.
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The Winkler foundation and gradient elasticity parameter are studied parametrically.
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In the case of the static problem, an analytical solution has also been obtained.
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The cases of a cantilever and a simply supported beam have been examined.