Open AccessAn explicit simulation of arbitrarily-shaped pseudo-elastic hysteresis loops in shape-memory alloys
Author(s) -
S. Y. Wang,
Lin Zhan,
Zhiyuan Xu,
Huifeng Xi,
Heng Xiao
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/770/1/012107
Subject(s) - hysteresis , shape memory alloy , piecewise , piecewise linear function , mathematical analysis , sma* , flow (mathematics) , loop (graph theory) , mathematics , geometry , materials science , physics , algorithm , composite material , quantum mechanics , combinatorics
A new and explicit approach is proposed for accurately simulating pseudo-elastic hysteresis loops of any shape in shape-memory alloys (SMAs). For this purpose, new finite strain elastoplastic J 2 -flow equations are established for modeling finite strain behavior of SMAs. A stress-strain loop of any given shape in each uniaxial loading-unloading cycle is derived exactly from these equations. Then, a new technique is further introduced toward integrating usual piecewise linear splines into a single smooth interpolating function in a unified form. With the proposed equations and technique, test data for SMA hysteresis loops of any shape may be automatically fitted with high accuracy based on a single-parameter identification.