A new SMA shell element based on the corotational formulation
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- 作者：P. Bisegna (1)
F. Caselli (1)
S. Marfia (2)
E. Sacco (2) - 关键词：Shape memory alloy ; Shells ; Large displacements and rotations ; Corotational formulation
- 刊名：Computational Mechanics
- 出版年：2014
- 出版时间：November 2014
- 年：2014
- 卷：54
- 期：5
- 页码：1315-1329
- 全文大小：1,208 KB
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F. Caselli (1)
S. Marfia (2)
E. Sacco (2)
1. Department of Civil Engineering and Computer Science, University of Rome 鈥淭or Vergata鈥? 00133聽, Rome, Italy
2. Department of Civil and Mechanical Engineering, University of Cassino and Southern Lazio, 03043聽, Cassino, Italy - ISSN：1432-0924
文摘
Aim of this paper is to develop a new shape memory alloy (SMA) facet-shell finite element accounting for material and geometric nonlinearities. A corotational formulation is exploited, able to filter out large rigid-body motions from the element transformation. Accordingly, a geometrically linear core-element is employed, along with a SMA constitutive model formulated in the small strain framework. In particular, in accordance with the formulation of the classical thin shell theory, a plane-stress SMA model accounting for the pseudo-elastic as well as the shape memory effect is adopted. The time integration of the evolutive equation is performed developing a step-by-step backward-Euler numerical procedure. A highly efficient implementation of the corotational machinery is used, endowed with a fully consistent tangent stiffness. Applications are carried out for assessing the performances of the developed computational procedure and to investigate on some interesting engineering examples. The numerical results show the effectiveness of the proposed shell element, whose simplicity makes it attractive for the design of new advanced SMA-based devices undergoing significant configuration changes during their operation.