Comprehensive Simulation of Shape Memory Alloys Based on a Finite Elastoplastic Model

WANG Xiaoming; XIAO Heng

doi:10.21656/1000-0887.380067

Volume 39 Issue 3

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WANG Xiaoming, XIAO Heng. Comprehensive Simulation of Shape Memory Alloys Based on a Finite Elastoplastic Model[J]. Applied Mathematics and Mechanics, 2018, 39(3): 286-299. doi: 10.21656/1000-0887.380067

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Comprehensive Simulation of Shape Memory Alloys Based on a Finite Elastoplastic Model

doi: 10.21656/1000-0887.380067

WANG Xiaoming¹,
XIAO Heng²

¹Ningbo Polytechnic, Ningbo, Zhejiang 315800, P.R.China;²School of Mechanics and Construction Engineering, Jinan University, Guangzhou 510632, P.R.China

Received Date: 2017-03-24
Rev Recd Date: 2017-12-27
Publish Date: 2018-03-15

Abstract

Abstract

A new elastoplastic J2 flow model was proposed for shape memory alloys to comprehensively simulate the pseudo-elastic stage with perfect strain recovery, the plastic stage with partial strain recovery and the softening stage up to failure. To this end, a new explicit method based on any given uniaxial data was introduced to obtain the multi-axial expression for the constitutive quantities incorporated in this model. The advantage of this model lies in avoiding the usual complicated numerical procedures in treating nonlinear rate constitutive equations with a number of phase transition conditions and micro-macro averaging methods. Numerical examples give results in good accordance with experiment data.
- J2 flow,
- elastoplastic constitution,
- pseudo-elasticity,
- plasticity,
- softening

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References

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