Within the thermomechanics of the Cosserat-type shells undergoing the diffusionless (displacive) phase transitions developed by Eremeyev & Pietraszkiewicz (2009), we propose the thermodynamic condition allowing one to determine quasistatic motion of the phase interface on the deformed shell base surface. The theoretical model is illustrated by example of a thin-walled circular cylindrical tube made of a two-phase elastic material subject to tensile forces on the one end and clamped on another one. The solution reveals existence of the hysteresis loop which size depends upon values of several loading parameters.
On tension of a two-phase elastic tube
Eremeyev, VA
;
2010-01-01
Abstract
Within the thermomechanics of the Cosserat-type shells undergoing the diffusionless (displacive) phase transitions developed by Eremeyev & Pietraszkiewicz (2009), we propose the thermodynamic condition allowing one to determine quasistatic motion of the phase interface on the deformed shell base surface. The theoretical model is illustrated by example of a thin-walled circular cylindrical tube made of a two-phase elastic material subject to tensile forces on the one end and clamped on another one. The solution reveals existence of the hysteresis loop which size depends upon values of several loading parameters.
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