Geodesic
Calculation of stresses and displacements in $\mathrm{Ni_2MnGa}$ have lenticular twin using tetrafunctional model with a continuous distribution of twinning dislocations at the twin boundaries
Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 19-24 Cet article a éte moissonné depuis la source Math-Net.Ru

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Dislocation model was developed for the calculation of the stress-strain state in a double lenticular. The model is suitable for use in the case of complex shape of the twin boundaries. Displacement fields and internal stresses caused by double lenticular in $\mathrm{Ni_2MnGa}$ were calculated on the based of the model in the approximation of a continuous distribution of twinning dislocations at the twin boundaries. It was found that stress is localized at the twin boundaries, and can be observed within the twin compensation voltages.
Keywords: twinning, dislocations, stress fields. 
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     title = {Calculation of stresses and displacements in $\mathrm{Ni_2MnGa}$ have lenticular twin using tetrafunctional model with a continuous distribution of twinning dislocations at the twin boundaries},
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E. V. Shmatok; O. M. Ostrikov. Calculation of stresses and displacements in $\mathrm{Ni_2MnGa}$ have lenticular twin using tetrafunctional model with a continuous distribution of twinning dislocations at the twin boundaries. Problemy fiziki, matematiki i tehniki, no. 2 (2014), pp. 19-24. http://geodesic.mathdoc.fr/item/PFMT_2014_2_a2/

[1] O. M. Ostrikov, Mekhanika dvoinikovaniya tverdykh tel, Monografiya, Uchrezhdenie obrazovaniya «Gomelskii gosudarstvennyi tekhnicheskii universitet imeni P. O. Sukhogo», Gomel, 2008, 301 pp.

[2] O. M. Ostrikov, A. L. Sozinov, A. V. Soroka, “Issledovanie plasticheskoi deformatsii poverkhnosti monokristalla $\mathrm{Ni_2MnGa}$ metodom indentirovaniya”, Inzhenerno-fizicheskii zhurnal, 85:5 (2012), 1132–1141

[3] O. M. Ostrikov, E. V. Shmatok, “Osobennosti mekhanicheskogo dvoinikovaniya, lokalnogo razrusheniya i formirovaniya kanalov Roze v monokristallakh $\mathrm{Ni_2MnGa}$ pri indentirovanii ikh poverkhnosti piramidoi Vikkersa”, Materialy. Tekhnologii. Instrumenty, 18:3 (2013), 5–10

[4] O. M. Ostrikov, “Dislokatsionnaya makroskopicheskaya model klinovidnogo dvoinika”, Vestnik GGTU im. P. O. Sukhogo, 2006, no. 2, 10–18 | Zbl

[5] A. M. Kosevich, V. S. Boiko, “Dislokatsionnaya teoriya uprugogo dvoinikovaniya kristallov”, Uspekhi fizicheskikh nauk, 104:2 (1971), 101–255

[6] A. M. Kosevich, Dislokatsii v teorii uprugosti, Nauk. Dumka, Kiev, 1978, 220 pp.

[7] A. Sozinov et al., “Giant magnetic-field-induced strain in $\mathrm{NiMnGa}$ seven-layered martensitic phase”, Appl. Phys. Lett., 80 (2002), 1746–1748 | DOI

[8] O. Heczko, L. Straka, “Temperature dependence and temperature limits of magnetic shape memory effect”, Journal of Applied Physics, 94:11 (2003), 7139–7143 | DOI

[9] O. Heczko, K. Jurek, K. Ullakko, “Magnetic properties and domain structure of magnetic shape memory $\mathrm{Ni}$-$\mathrm{Mn}$-$\mathrm{Ga}$ alloy”, Journal of Magnetism and Magnetic Materials, 226–230 (2001), 996–998 | DOI