The main aim of this paper is modelling the hysteresis effect in shape memory alloys. The stress versus strain relation is approximated by idealized curves. The adopted characteristics is modelled using the piecewise linear model. Transmission between individual line segments is dependent on the proposed conditions if(…). Performed numerical research allows to evaluate the possibilities of hysteresis sub-loops modelling. Finally, this model is used in a specific system – the biomechanical model of the middle ear to find the reconstructed ear response.
REFERENCES
1.
2.
A.
Masud
, M.
Panahandeh
and F.
Aurrichio
, Comput. Methods Appl. Mech. Engrg.
148
, 23
–37
(1997
).3.
Y.
Huo
and I.
Muller
, Continuum Mech. Thermodyn.
5
, 163
–204
(1993
).4.
M.S.
Kuczma
and A.
Mielke
, ZAMM Z. Angew. Math. Mech.
80
, 291
–306
(2000
).5.
A.
Mitura
and R.
Rusinek
, “Numerical Research of Biomechanical System with SMA Prosthesis
” in The 22ⁿᵈ International Slovak-Polish Conference on Machine modelling and Simulations
, (Sklene Teplice
, Sloviaka
, 2017
).6.
M.H.
Wu
and L. McD.
Schethy
, “Industrial applications for shape memory alloys
” in Proccedings of the International Conference on Shape Memory and Superelastic Technologies
, (Pacific Grove
, California
, 2000
), pp. 171
–182
.7.
R.
Rusinek
, J.
Warminski
, M.
Zadrozniak
and M.
Szymanski
, Differ Equ Dyn Syst
21
, 45
–57
(2013
).8.
R.
Rusinek
, J.
Warminski
, M.
Szymanski
, K.
Kecik
and K.
Kozik
, International Journal of Mechanical Sciences
127
, 163
–175
(2017
).
This content is only available via PDF.
© 2017 Author(s).
2017
Author(s)