A corotational flat triangular element for large strain analysis of thin shells with application to soft biological tissues

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• 作者：Federica Caselli (1)
  Paolo Bisegna (1)
  
• 关键词：Flat triangular shell element ; Corotational formulation ; Large strains ; Soft biological tissues
• 刊名：Computational Mechanics
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：54
• 期：3
• 页码：847-864
• 全文大小：3,226 KB
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• 作者单位：Federica Caselli (1)
  Paolo Bisegna (1)
  
  1. Department of Civil Engineering and Computer Science, University of Rome 鈥淭or Vergata鈥? 00133聽, Rome, Italy
  
• ISSN：1432-0924

文摘

A flat triangular element for the nonlinear analysis of thin shells is presented. The formulation relies on (i) a polar decomposition based corotational framework and (ii) a core-element kinematic description adopting the multiplicative superposition of membrane and bending actions. The resulting element is a refined yet simple three-node displacement-based triangle accounting for thickness extensibility and initial shell curvature, and equipped with a fully consistent tangent stiffness. Numerical tests involving shell structures made of rubber-like materials or fibred biological tissues show the effectiveness of the proposed element and its suitability to problems characterized by large displacements, large rotations, large membrane strains and bending. A Matlab toolkit implementing the present formulation is provided as supplementary material.