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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

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Frontiers of Structural and Civil Engineering  2015, Vol. 9 Issue (4): 466-477   https://doi.org/10.1007/s11709-015-0300-3
  本期目录
An extended thermo-mechanically coupled algorithm for simulation of superelasticity and shape memory effect in shape memory alloys
S. HASHEMI,H. AHMADIAN,S. MOHAMMADI()
High Performance Computing Laboratory (HPC Lab), School of Civil Engineering, University of Tehran, Tehran 1417613131, Iran
 全文: PDF(3119 KB)   HTML
Abstract：

Thermo-mechanical coupling in shape memory alloys is a very complicated phenomenon. The heat generation/absorption during forward/reverse transformation can lead to temperature-dependent variation of its mechanical behavior in the forms of superelasticity and shape memory effect. However, unlike the usual assumption, slow loading rate cannot guarantee an isothermal process. A two-dimensional thermo-mechanically coupled algorithm is proposed based on the original model of Lagoudas to efficiently model both superelasticity and shape memory effects and the influence of various strain rates, aspect ratios and boundary conditions. To implement the coupled model into a finite element code, a numerical staggered algorithm is employed. A number of simulations are performed to verify the proposed approach with available experimental and numerical data and to assess its efficiency in solving complex SMA problems.
Key words： shape memory alloy    thermo-mechanical coupling    superplasticity    shape memory effect
收稿日期: 2015-01-14      出版日期: 2015-11-26
Corresponding Author(s): S. MOHAMMADI   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2015, 9(4): 466-477.
S. HASHEMI,H. AHMADIAN,S. MOHAMMADI. An extended thermo-mechanically coupled algorithm for simulation of superelasticity and shape memory effect in shape memory alloys. Front. Struct. Civ. Eng., 2015, 9(4): 466-477.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-015-0300-3
https://academic.hep.com.cn/fsce/CN/Y2015/V9/I4/466
material parameters value material parameters value
EA 16.5 × 109 Pa a A = a M 22 × 10 − 6   1 / K
EM 16.5 × 109 Pa ρ C A = ρ C M 3.2 × 10 5   J / ( m 3 K )
v A = v M 0.3 s0 − 0.375 × 10 6   J / ( m 3 K )
TMs −30°C Hmax 0.3
TMf −31°C k 18   W / ( m K )
TAs 4°C hair 50   W / ( m K )
TAf 5°C hwater 300   W / ( m K )
Tab.1  
Fig.1  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
material parameters value material parameters value
EA 55 × 109 Pa v A = v M 0.33
EM 46 × 109 Pa a A = a M 22 × 10 − 6   1 / K
TMs −28°C ρ C A = ρ C M 4.81 × 10 5   J / ( m 3 K )
TMf −43°C s0 0   J / ( m 3 K )
TAs −3°C Hmax 0.056
TAf 7°C k 18   W / ( m K )
Tab.2  
Fig.6  
Fig.7  
material parameters value material parameters value
EA 47 × 109 Pa v A = v M 0.3
EM 33 × 109 Pa a A = a M 22 × 10 − 6   1 / K
TMs −52°C ρ C A = ρ C M 6.5 × 10 5   J / ( m 3 K )
TMf −60°C s0 0   J / ( m 3 K )
TAs −30°C Hmax 0.075
TAf −20°C k 18   W / ( m K )
Tab.3  
Fig.8  
Fig.9  
Fig.10  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
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