An \(\hbox {FE}^{2}\) model for the analysis of shape memory alloy fiber-composites

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• 作者：Benedikt Kohlhaas (1)
  Sven Klinkel (1)
  
  1. Lehrstuhl f眉r Baustatik und Baudynamik ; RWTH Aachen University ; Mies-van-der-Rohe-Str. 1 ; 52074 ; Aachen ; Germany
  
• 关键词：Shape memory fiber ; Composite ; Rebar concept ; $$\hbox {FE}^{2}$$ FE 2 approach
• 刊名：Computational Mechanics
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：55
• 期：2
• 页码：421-437
• 全文大小：1,329 KB
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• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Numerical and Computational Methods in Engineering
  Computational Science and Engineering
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0924

文摘

This contribution deals with a computational model for a shape memory alloy fiber composite. Three main topics have been considered within the presented model. First, a 1D fiber model is derived which accounts for all relevant nonlinear material phenomena of shape memory alloys. These are pseudoelasticity in the high temperature range and pseudoplasticity in the low temperature range. The latter is closely connected to the shape memory effect. The constrained and two-way shape memory effect are captured as well. Second, the shape memory fiber model is implemented into the finite element method. Two different structural elements are derived which lead to two different discretization schemes. A non-conform meshing concept and a conform meshing concept are presented. Randomly oriented and distributed fibers are considered. Both schemes are compared within the paper. Third, an \(\hbox {FE}^{2}\) ansatz is presented. The computational homogenization process makes the detailed description of the complicated fiber-structure on macro-level dispensable. The micro-structure is considered in a representative volume element. It captures the main characteristics of the multi-functional composite. Finally, numerical examples present the capability of the formulation.