Development and Finite Element Implementation of a Simple Constitutive Model to Address Superelasticity and Hysteresis of Nitinol

2019 ◽  
pp. 171-187
Author(s):  
Siddhartha Patra ◽  
Sarmita Sinha ◽  
Abhijit Chanda
Keyword(s):  
Finite Element ◽  
Constitutive Model ◽  
Finite Element Implementation

FINITE ELEMENT IMPLEMENTATION OF A SUPER-ELASTIC CONSTITUTIVE MODEL FOR TRANSFORMATION RATCHETTING OF NiTi ALLOY

2012 ◽  
Vol 09 (01) ◽  
pp. 1240022 ◽  
Author(s):  
Q. H. KAN ◽  
G. Z. KANG ◽  
S. J. GUO
Keyword(s):  
Finite Element ◽  
Constitutive Model ◽  
Niti Alloy ◽  
Cyclic Stress ◽  
Euler Method ◽  
Convergence Criterion ◽  
Integration Algorithm ◽  
Finite Element Implementation ◽  
Backward Euler ◽  
Forward Transformation

In the previous work, a new constitutive model describing the transformation ratchetting of super-elastic NiTi alloy was proposed. The finite element implementation of the proposed model is discussed in this work, because such implementation is necessary to launch a numerical analysis for the cyclic stress–strain responses of NiTi alloy devices including the transformation ratchetting. During the implementation, a new stress integration algorithm is adopted, and a new expression of the consistent tangent modulus is derived for the forward transformation and the reverse transformation. The finite element implementation is elaborated by the user subroutine of UMAT in ABAQUS based on backward Euler method. The accumulated error during cyclic transformation is controlled by a robust convergence criterion. Finally, the validity of such implementation is verified by several numerical examples.

scholarly journals Constitutive model of coupled damage-plasticity and its finite element implementation

2003 ◽  
Vol 12 (4) ◽  
pp. 381-405 ◽  
Author(s):  
Adnan Ibrahimbegović ◽  
Damijan Markovič ◽  
Fabrice Gatuingt
Keyword(s):  
Finite Element ◽  
Constitutive Model ◽  
Finite Element Implementation
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