Decay Estimates for Elastic Cylinders with Mixed Boundary Conditions

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• 作者：Vincenzo Coscia ; Antonio Russo
• 关键词：Linear elastostatics ; Cylinders ; Saint ; Venant’s problems ; Mixed boundary value problems ; 35J57 ; 74B05 ; 74G50
• 刊名：Journal of Elasticity
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：122
• 期：2
• 页码：211-222
• 全文大小：966 KB
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  11. Horgan, C.O., Knowles, J.K.: Recent developments concerning Saint-Venant’s principle. In: Wu, T.Y., Hutchinson, J.W. (eds.) Advances in Applied Mechanics, vol. 23, pp. 179–269. Academic Press, San Diego (1983)
  12. Horgan, C.O., Payne, L.E.: Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. J. Elast. 46, 43–52 (1997) MATH MathSciNet CrossRef
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  16. Russo, A.: On Saint-Venant’s problem with concentrated loads. J. Elast. 109, 205–221 (2012) MATH CrossRef
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  18. Toupin, R.A.: Saint-Venant’s principle. Arch. Ration. Mech. Anal. 18, 83–96 (1965) MATH MathSciNet CrossRef
  
• 作者单位：Vincenzo Coscia (1)
  Antonio Russo (2)
  
  1. Department of Mathematics and Computer Science, University of Ferrara, Via Machiavelli 35, 44121, Ferrara, Italy
  2. Research Center “Mathematics for Technology, Medicine & Biosciences”, University of Ferrara, Scientific-Technological Campus, Building B, Via Saragat 1, 44122, Ferrara, Italy
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-2681

文摘

The classical Saint-Venant’s problem in cylinders is considered under various boundary conditions and some estimates are proven. In particular, if the cylinder is force free on the mantle and is subject to assigned displacements on the bases, satisfying exact compatibility conditions, then a unique elementary Saint-Venant’s solution can be selected in such a way that it agrees with the rigorous solution to the mixed problem away from the bases. Keywords Linear elastostatics Cylinders Saint-Venant’s problems Mixed boundary value problems