Modelling of Phase Structure and Stress State of the Rod from the Shape Memory Material at Thermomechanical Loading
Astashkin Volodymyr 1, Onyshko Oleksii 1, Bozhenko Bohdan 1,2, Budz Stepan 1
1 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU
Naukova Str. 3-b, 79060 Lviv, Ukraine
e-mail: budz@iapmm.lviv.ua
2 Mathematical Modelling Center of IAPMM NASU
Dudayev Str. 15, 79005 Lviv, Ukraine
3Opole University of Technology, ul. Luboszycka 3, 45-036 Opole, Poland
e-mail: b.bozhenko@po.opole.pl
Received:
Received: 14 May 2008; published online: 19 November 2008
DOI: 10.12921/cmst.2008.14.02.81-86
OAI: oai:lib.psnc.pl:651
Abstract:
On the basis of the mathematical model proposed before, the phase and stress state of the shape memory rod during torsion and following heating has been determined. Non-uniform distribution of residual stresses induced by a change of the phase structure under loading decreases after heating due to material returning to the initial phase state.
Key words:
mathematical model, phase and stress state, shape memory material
References:
[1] I. Goldenblat, Nonlinear problems of elasticity theory (in Russian), Nauka, Moscow (1969).
[2] V. Astashkin, O. Hachkevych, O. Onyshko, B. Bozhenko, Modeling of thermomechanical processes in deformable solids allowing for structure transformation with use of stress
and strain tensor invariants (in Ukrainian). Mechanical Engineering 11, 14-17 (2003).
[3] V. Astashkin, B. Bozhenko, S. Budz, O. Onyshko, Modelling of thermomechanical processes in solids with use of stress and strain tensor invariants under technological heating (in Russian), Technological processes and systems designing. Societas Scientarium Lublinensis, Lublin, 164-170 (2003).
[4] O. Onyshko, B. Bozhenko, V. Novatskii, Model of thermomecanical phenomena in shape memory alloys (in Ukrainian), Mathematical problems of mechanics of nonhomogeneous
structures, Lviv, 71-73 (2003).
[5] V.I. Astashkin, S.F. Budz, O.E. Onyshko, Quantitative description of physicomechanical processes in shape memory alloys, Materials Science 4, 453-459 (1994).
[6] V.A. Likhachov, S.L. Kuzmin, Z.P. Kamentseva, Shape memory effect (in Russian), Publishing house of Leningrad University, Leningrad (1987).
[7] H. Funakubo, Shape memory alloys (in Russian), Metallurgy, Moscow (1990).
On the basis of the mathematical model proposed before, the phase and stress state of the shape memory rod during torsion and following heating has been determined. Non-uniform distribution of residual stresses induced by a change of the phase structure under loading decreases after heating due to material returning to the initial phase state.
Key words:
mathematical model, phase and stress state, shape memory material
References:
[1] I. Goldenblat, Nonlinear problems of elasticity theory (in Russian), Nauka, Moscow (1969).
[2] V. Astashkin, O. Hachkevych, O. Onyshko, B. Bozhenko, Modeling of thermomechanical processes in deformable solids allowing for structure transformation with use of stress
and strain tensor invariants (in Ukrainian). Mechanical Engineering 11, 14-17 (2003).
[3] V. Astashkin, B. Bozhenko, S. Budz, O. Onyshko, Modelling of thermomechanical processes in solids with use of stress and strain tensor invariants under technological heating (in Russian), Technological processes and systems designing. Societas Scientarium Lublinensis, Lublin, 164-170 (2003).
[4] O. Onyshko, B. Bozhenko, V. Novatskii, Model of thermomecanical phenomena in shape memory alloys (in Ukrainian), Mathematical problems of mechanics of nonhomogeneous
structures, Lviv, 71-73 (2003).
[5] V.I. Astashkin, S.F. Budz, O.E. Onyshko, Quantitative description of physicomechanical processes in shape memory alloys, Materials Science 4, 453-459 (1994).
[6] V.A. Likhachov, S.L. Kuzmin, Z.P. Kamentseva, Shape memory effect (in Russian), Publishing house of Leningrad University, Leningrad (1987).
[7] H. Funakubo, Shape memory alloys (in Russian), Metallurgy, Moscow (1990).
