000015324 001__ 15324
000015324 005__ 20161115100218.0
000015324 04107 $$aeng
000015324 046__ $$k2016-08-21
000015324 100__ $$aSong, Zilong
000015324 24500 $$aAn analytical model for phase transitions of an SMA wire under uniaxial tension

000015324 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015324 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015324 506__ $$arestricted
000015324 520__ $$2eng$$aThis paper considers isothermal stress-induced phase transitions of shape memory alloys (SMAs) based on a two-variant constitutive model. Specifically, inhomogeneous deformations of a slender circular cylinder under uniform axial stress are investigated analytically. By utilizing two small parameters, the complex three-dimensional (3-D) mechanical system is reduced to a 1-D coupled system of two strains for each of three phase regions. Then, for given load parameter, inhomogeneous deformations with two and three regions are constructed, and many analytical period-k solutions are found for the first time. For displacement-controlled process, the transition from homogeneous states to localized inhomogeneous ones is identified, capturing the possible instabilities at nucleation. The analytical results reveal that phase transition starts from a small band rather than a point. This work can also shed light on the difficulties of direct numerical simulations.

000015324 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015324 653__ $$a

000015324 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015324 720__ $$aSong, Zilong
000015324 8560_ $$ffischerc@itam.cas.cz
000015324 8564_ $$s83057$$uhttps://invenio.itam.cas.cz/record/15324/files/TS.SM09-3.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2418, code TS.SM09-3.05
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000015324 962__ $$r13812
000015324 980__ $$aPAPER