Izvestiia Rossiiskoi akademii nauk. Mekhanika tverdogo telaIssue 4The order of smallness of the Poynting effect from the standpoint of the apparatus of tensor nonlinear functions
views: 1253
Readers community rating: votes 0
1. Rivlin R.S. The solution of problems in second order elasticity theory // J. Rational Mech. Anal. 1953. V.2. No.9. P.53–81.
2. Rivlin R.S., Ericksen J.L. Stress–deformation relations for isotropic materials // J. Rational Mech. Anal. 1955. V.4. No.2. P.323–425.
3. Devendiran V.K., Sandeep R.K., Kannan K., Rajagopal K.R. A thermo-dynamically consistent constitutive equation for describing the response exhibited by several alloys and the study of a meaningful physical problem // Int. J. Solids and Struct. 2017. V.108. No.1.
4. Kulvait V., Ma'lek J., Rajagopal K.R. Modeling Gum Metal and other newly developed titanium alloys within a new class of constitutive relations for elastic bodies// Arch. Mech. 2017. V.69. No.3. P.223–241.
5. Georgievskij D.V. Izbrannye zadachi mekhaniki sploshnoj sredy. M.: LENAND, 2018. 560 s.
6. Georgievskij D.V. Potentsial'nost' izotropnykh nelinejnykh tenzor–funktsij, svyazyvayuschikh dva deviatora // Izv. RAN. MTT. 2016. № 5. S.148–152.
7. Pobedrya B.E. Lektsii po tenzornomu analizu. M.: Izd-vo MGU, 1986. 264 s.
8. Georgievskij D.V. Ob ugle mezhdu deviatorami napryazhenij i skorostej deformatsij v tenzorno–nelinejnoj izotropnoj srede // Vestnik MGU. Ser. 1. Matematika, mekhanika. 2013. № 6. S. 63–66.
9. Green A.E. A note on second-order effects in the torsion of incompressible cylinders // Proc. Cambridge Philos. Soc. 1954. V. 50. No. 3. P. 488–490.
10. Lur'e A.I. Nelinejnaya teoriya uprugosti. M.: Nauka, 1980. 512 s.
11. Chen M., Chen Z. Second-order effect of an elastic circular shaft during torsion // Appl. Math. Mech. 1991. V. 12. No. 9. P. 769–776.
12. Batra R.C., dell'Isola F., Ruta G.C. Generalized Poynting effects in prismatic bars // J. Elasticity. 1998. V. 50. No. 2. P. 181–196.
13. Astapov V.F., Markin A.A., Sokolova M.Yu. Kruchenie sploshnogo tsilindra iz izotropnogo uprugogo materiala // Izv. Tul'skogo GU. Ser. Matematika. Mekhanika. Informatika. 1999. T. 5. Vyp. 2. S. 43–48.
14. Akinola A. An energy function for transversely-isotropic elastic material and the Poynting effect // Korean J. Comput. Appl. Math. 1999. V. 6. No. 3. P. 639–649.
15. Gavrilyachenko T.V., Karyakin M.I. Ob osobennostyakh nelinejno-uprugogo povedeniya szhimaemykh tel tsilindricheskoj formy pri kruchenii // PMTF. 2000. T. 41. № 2. S. 188–193.
16. Gol'dshtejn R.V., Gorodtsov V.A., Lisovenko D.S. Kruchenie tsilindricheski anizotropnykh nano/mikrotrubok iz 7-konstantnykh tetragonal'nykh kristallov. Ehffekt Pojntinga // Fizich. mezomekhanika. 2015. T. 18. № 6. S. 5–11.
