Isotropy postulate for finite deformations

International Applied Mechanics

Volumn 35, Issue 1, 1999, Pages 13-23

  Shevchenko, Yu N ^a   Tormakhov, N N ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844454599     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02682057     Document Type: Article

References (26)

1. L. S. Andreev, "On plastic deformation of metals in biaxial elongation," Inzh. Zh. Mekh. Tverd. Tela, No.3, 150-157 (1962).
2. L. S. Andreev, "On verification of plasticity laws in stress space," Inzh. Zh. Mekh. Tverd. Tela, No. 2, 97-101 (1966).
3. L. S. Andreev, "On verification of the isotropy postulate," Prikl. Mekh., 5, No. 7, 122-125 (1969).
4. V. N. Bastun, "Verification of hypotheses of the theory of small elastoplastic deformations at elevated temperatures," in: Thermal Stresses in Structural Elements [in Russian], Issue 14 (1974), pp. 24-27.
5. V. N. Bastun and L. M. Shkaraputa, "Verification of lag principle at elevated temperature," in: Thermal Stresses in Structural Elements [in Russian], Issue 15 (1975), pp. 83-87.
6. G. L. Brovko, "Some approaches to the construction of plasticity relations for large deformations," in: Elasticity and Inelasticity [in Russian], Issue 18 (1987), pp. 68-81.
7. R. A. Vasin, A. N. Nikitin, and P. N. Ogibalov, "On verification of the isotropy postulate for a variable deformation rate," Mekh. Polim., No. 2, 24-27 (1975).
8. V. P. Degtyarev, Plasticity and Creep of Engineering Structures [in Russian], Mashinostroenie, Moscow (1967).
9. S. A. Elsuf'ev, "On the relationship between stresses and plastic deformations on some compound-loading paths," Inzh. Zh. Mekh. Tverd. Tela, No. 1, 140-142 (1968).
10. S. A. Elsuf'ev, "Experimental verification of the isotropy postulate and lag law of the general theory of plasticity," Gidromekhanika, 143-151 (1984).
11. A. A. Il'yushin, "On the relationship between stresses and deformations in continuum mechanics," Prikl. Mekh., 6, No. 18, 541-566 (1954).
12. A. A. Il'yushin, Plasticity. Fundamentals of the General Mathematical Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963).
13. A. A. Il'yushin, Continuum Mechanics [in Russian], Izd. Mosk. Univ., Moscow (1990).
14. V. S. Lenskii, "Experimental verification of isotropy and lag laws under compound loading," Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Ser. Mekh. Mashinostr., No.11, 15-24 (1958).
15. V. S. Lenskii, "Some new data on the plasticity of metals under compound loading," Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, Ser. Mekh. Mashinostr., No. 5, 93-100 (1960).
16. V. S. Lenskii, "Experimental verification of the fundamental postulates of the general theory of elastoplastic deformations," in: Topics in Plasticity Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1960), pp. 58-89.
17. V. S. Lenskii and I. D. Mashkov, "Verification of plasticity laws in three-dimensional deformation-deviator space," in: Elasticity and Inelasticity [in Russian], Issue 2 (1971), pp. 158-166.
18. I. D. Mashkov, "Stress-strain dependences on plane multisection deformation trajectories," Izv. SSSR Mekh. Tverd. Tela, No. 4, 191-195 (1970).
19. V. V. Novozhilov, Elasticity Theory [in Russian], Sudpromgiz, Leningrad (1958).
20. R. G. Terekhov, "Verification of isotropy postulate under compound loading with rotation of the stress-tensoraxis," Prikl. Mekh., 6, No. 10, 88-92 (1970).
21. N. N. Tormakhov, S. M. Zakharov, S. P. Gemma, and A. V. Marishchuk, "Strain gauge," Inventor's Certificate No. 1288492, MKI G 01B 5/30, Byull. Izobret., No. 5 (1987).
22. Yu. N. Shevchenko, Thermoplasticity under Variable Loads [in Russian], Naukova Dumka, Kiev (1970).
23. Yu. N. Shevchenko and R. G. Terekhov, "Verification of one of the corollaries of the isotropy postulate," Probl. Prochn., No. 10, 42-45 (1972).
24. Yu. N. Shevchenko, R. G. Terekhov, and S. M. Zakharov, "Study of nonisothermal compound loading processes for trajectories in the form of two-section broken lines," Prlkl. Mekh., 15, No. 8, 8 (1979).
25. Yu. N. Shevchenko and R. G. Terekhov, Physics Equations of Thermoplasticity [in Russian], Naukova Dumka, Kiev (1982).
26. Y. Ohashi and E. Tanaca, "Plastic deformation behavior of mild steel along orthogonal linear strain trajectories in three-dimensioned vectors space of strain deviator," Trans. ASME, J. Eng. Mater. Technol., 103, 292 (1981).