Exact elasticity-based finite element for circular plates

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• 作者：Anssi T. Karttunen^a ; ^b ; ^{anssi.karttunen@aalto.fi} ; Raimo von Hertzen^a ; J.N. Reddy^b ; Jani Romanoff^a
• 关键词：Interior plate ; Saint Venant&rsquo ; s principle ; Clapeyron&rsquo ; s theorem ; Betti&rsquo ; s theorem ; Finite element ; Numerical examples
• 刊名：Computers & Structures
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：182
• 期：Complete
• 页码：219-226
• 全文大小：698 K
• 卷排序：182

文摘

Exact interior finite element for circular plates is developed using an elasticity solution. The solution includes Kirchhoff, Mindlin and Levinson plate theories as special cases. The exact finite element is developed both by force- and energy-based approaches. Interior stresses act as surface tractions on the plate edges. Analytical and numerical examples are presented.