Constitutive equations for polycrystalline thermoelastic shape memory alloys.

1999 ◽  
Vol 36 (28) ◽  
pp. 4289-4315 ◽  
Author(s):  
N. Siredey ◽  
E. Patoor ◽  
M. Berveiller ◽  
A. Eberhardt
Keyword(s):  
Shape Memory Alloys ◽  
Shape Memory ◽  
Constitutive Equations

A New and Consistent Approach for Deriving Brinson’s 1-D Constitutive Equation for Shape Memory Alloys

2008 ◽  
Author(s):  
Rasoul Khandan ◽  
Mojtaba Mahzoon ◽  
Seyed Ahmad Fazelzadeh ◽  
Ali Hemmasizadeh
Keyword(s):  
Constitutive Equation ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Compatibility Condition ◽  
Constitutive Equations ◽  
Modified Model ◽  
Clear Cut ◽  
Straightforward Approach ◽  
Consistent Approach

One of the first 1-D constitutive equations for shape memory alloys was presented by Brinson L.C in 1993 that became the base of later works typically. In Brinson’s equation, several proposed functions are considered in order to simplify the model and obtain the constitutive equation for SMA. In a recent paper V. R. Buravalla and A. Khandelwal (2007) have shown certain anomalies in Brinson’s model and have tried to present a modified model which unlike Brinson’s model satisfies the compatibility condition. However, their formulation, besides being lengthy, lacks clarity and in particular does not address proper expressions for transformation tensors Ωs and ΩT. In the present work, Brinson’s constitutive equation is derived from fundamental relations using a simple, clear-cut and straightforward approach. Without any extra and unnecessary assumption the consistency of the model is confirmed.

A mechanical contact model for superelastic shape memory alloys

2020 ◽  
pp. 1045389X2095361
Author(s):  
Mohammad Sattari ◽  
Hossein Ashtari Esfahani ◽  
Mahmoud Kadkhodaei ◽  
Saleh Akbarzadeh
Keyword(s):  
Shape Memory Alloys ◽  
Shape Memory ◽  
Constitutive Equations ◽  
Contact Model ◽  
Stress And Strain ◽  
Resistant Material ◽  
Niti Wire ◽  
Contact Models ◽  
Acceptable Agreement ◽  
Pseudoelastic Behavior

Shape memory alloys (SMA) are nowadays widely used in different industries. The two extraordinary behaviors of superelasticity and shape memory effect make these alloys a super wear-resistant material. In a range of SMA applications, contact between adjacent surfaces occurs. In this research, a formerly-developed contact model, which individually considers each asperity, is extended to cases where superelastic shape memory alloys are used. Since constitutive equations of SMAs are based on stress and strain, to establish a relationship between classical contact models and the main arguments of these constitutive equations, a representative strain based on the pseudoelastic behavior of SMAs was defined. Experiments were conducted to verify the model’s predictions. In these experiments, a NiTi wire was pressed against a Steel plate; then, the measured penetration in the test and the values predicted by the contact model were compared. The reported results show an acceptable agreement between theory and experiment.

scholarly journals THERMOMECHANICAL CONSTITUTIVE EQUATIONS FOR SHAPE MEMORY ALLOYS

1991 ◽  
Vol 01 (C4) ◽  
pp. C4-387-C4-396 ◽  
Author(s):  
M. BERVEILLER ◽  
E. PATOOR ◽  
M. BUISSON
Keyword(s):  
Shape Memory Alloys ◽  
Shape Memory ◽  
Constitutive Equations

Atomic Order and Martensitic Transformation in Cu-Al-Be Shape Memory Alloys

1995 ◽  
Vol 05 (C8) ◽  
pp. C8-973-C8-978
Author(s):  
M. Jurado ◽  
Ll. Mañosa ◽  
A. González-Comas ◽  
C. Stassis ◽  
A. Planes
Keyword(s):  
Martensitic Transformation ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Atomic Order
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