Experimental validation of shape memory material model implemented in commercial finite element software under multiaxial loading

2018 ◽  
Vol 29 (14) ◽  
pp. 2954-2965 ◽  
Author(s):  
Hamid Khodaei ◽  
Patrick Terriault

Shape memory alloys are used in ever-increasing numbers of applications, such as implants made of porous shape memory alloys, where the material is subjected to complex loading conditions with various loading paths. Finite element simulation of such parts requires utilizing a constitutive model that is able to capture the multiaxial and path-dependent behavior of shape memory alloys. The main objective of this article is to investigate the accuracy of the constitutive model implemented in current commercial finite element software such as Ansys in predicting the shape memory alloys mechanical response under different multiaxial loading paths. To this end, several isothermal tests were conducted on thin-walled NiTi tubes with uniaxial, as well as multiaxial, path-varying loadings. The performance of the material model within Ansys was then investigated by finite element modeling of the sample tubes and performing simulations of the tests. Comparing the finite element results with experimental data, it was observed that while this model provided a close prediction of the uniaxial tensile superelastic response, it was not able to reproduce the multiaxial and path-dependent behavior of the shape memory alloy samples with sufficient accuracy. A brief discussion of the reasons behind the inaccuracy of the current model and potentially promising models for future investigation are provided.

2017 ◽  
Vol 28 (19) ◽  
pp. 2853-2871 ◽  
Author(s):  
Siavash Jafarzadeh ◽  
Mahmoud Kadkhodaei

In this article, a previously developed constitutive model for ferromagnetic shape memory alloys is phenomenologically enhanced using experimental observations. A modified phase diagram along with a method for calibration of the required model parameters is further presented. The model is implemented into a user material subroutine to equip commercial finite element software ABAQUS with the capability of simulating magneto-mechanical behaviors of ferromagnetic shape memory alloys. A combined convergence scheme is employed to solve the implicit equations. The proposed model together with the presented numerical solution is shown to be able to study shape memory effect and pseudoelasticity at different constant magnetic fields. The simulated magnetic loading/unloading cycles at different constant stresses are found to be well-fitted to the experimental findings. As a practical application of the ferromagnetic shape memory alloy coupled magneto-mechanical response, a spring actuator (a bias spring serially connected to one ferromagnetic shape memory alloy element) is investigated, and the numerical predictions are shown to be in a good agreement with available experimental results. As a novel case, geometrically graded NiMnGa elements are also introduced and are simulated with the use of this approach.


2012 ◽  
Vol 78 ◽  
pp. 46-51
Author(s):  
Takaei Yamamoto ◽  
Akihiko Suzuki ◽  
Hiroki Cho ◽  
Toshio Sakuma

The transformation behavior of shape memory alloys is simulated for complex loadings of stress, strain and temperature. Calculations are made by using the “Accommodation Model” which is a constitutive model for shape memory alloys considering the accommodation behavior of the transformation strain. Calculated results are presented for the transformation behavior in the axial and shear stress state. These results are compared with those obtained by the experiment where tube specimens of the Ti-Ni shape memory alloy are subjected to the axial and torsion loading. The proposed constitutive model can predict the transformation behavior including the plastic strain effect of polycrystalline Ti-Ni shape memory alloys under non-proportional multiaxial loading condition.


2000 ◽  
Author(s):  
Dimitris C. Lagoudas ◽  
Pavlin B. Entchev ◽  
Muhammad A. Qidwai ◽  
Virginia G. DeGiorgi

Abstract This work focuses on establishing the properties — both static and dynamic — of porous SMA materials, and their energy absorption capabilities. To accomplish this, micromechanics-based analysis of the overall behavior of SMAs is carried out in the present work. The porous SMA is modeled as a composite with a solid SMA matrix, which is in turn described by a constitutive model available in the literature, and elastic inclusions, which in the limit represent the voids in the porous material. The static macroscopic constitutive behavior of the material is established using both the Mori-Tanaka averaging method and the unit cell finite element method. The dynamic macroscopic constitutive behavior is described using the results obtained by the Mori-Tanaka averaging method.


2011 ◽  
Vol 138-139 ◽  
pp. 466-470
Author(s):  
Long Yi ◽  
Yun Peng ◽  
Hou Quan Hong ◽  
Yu Liang Li

Based on the subroutine VUMAT, user-defined material model in the nonlinear finite element software ABAQUS/EXPLICIT, a nonlinear viscoelastic constitutive model is developed. The validify of the subroutine has been proven through the standard uniaxial tensile model. The shortage of finite element softwares which only have linear viscoelastic constitutive model is remedied. This paper presents the process of developing a material constitutive model and some useful technology. It can be referred for extending the material constitutive model in finite element softwares.


2011 ◽  
Vol 211-212 ◽  
pp. 490-493 ◽  
Author(s):  
Yong Jun Wang ◽  
Zhen Qing Wang ◽  
Zeng Jie Yang ◽  
Hong Qing Lv ◽  
Li Nan Zhu

Shape memory alloy (SMA) is a new intelligent material and is used widely in various structures. But the constitutive model of SMA is so complex and particular that it is difficult to calculate by finite element software. In this paper, a special constitutive model of SMA is chose and the constitutive variables are discretized. Through the derivation, it is made possible that the constitutive relation of SMA is put into the UMAT (user-defined material mechanical behavior) subroutine in ABAQUS. So it is available to calculate the structure contained SMA by finite element method.


Sign in / Sign up

Export Citation Format

Share Document