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УДК 539.4

 

Kucher N., Kucher V.
G.S.Pisarenko Institute for Problems of Strength National Academy of Sciences of Ukraine, Kiеv, Ukraine
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ABOUT LOADING SURFACES OF MATERIALS, WHICH HAVE DIFFERENT TENSILE  AND COMPRESSION STRENGTH

 

Abstract. The loading surface is proposed for isotropic materials with different tensile and compressive strength. It is assumed that this surface coincides with the initial yield surface at the beginning of the plastic yielding and coincides with the failure surface in the limiting case, at fracture. To determine the parameters of the initial yield surface and the fracture surface, the Pisarenko-Lebedev criterion for structurally inhomogeneous materials is used. The procedure for describing the loading surface evolution during the active deformation is proposed for plastic strain paths of small curvature, or sufficiently close to them, based on the basic tension, compression and pure-shear experiments. The normalized plastic strain intensity is used as a deformation measure.


Keywords: yield and strength criteria, anisotropically hardening media, measure of hardening, loading surface.


REFERENCES
1. Pisarenko G.S., Lebedev A.A. Deformirovanie i prochnost' materialov pri slozhnom naprjazhennom sostojanii (Deformation and durability at a difficult tension) Kyiv, Naukova dumka, 1976, 416 p.
2. Lebedev A.A., Koval'chuk B.I., Giginjak F.F., Lamashevskij V.P. Mehanicheskie svojstva konstrukcionnyh materialov pri slozhnom naprjazhennom sostojanii (Mechanical properties of constructional materials at a difficult tension). Kyiv: Izdatel'skij dom “In Jure”, 2003, 540 p.
3. Kachanov L.M. Osnovy teorii plastichnosti (Bases of the theory of plasticity) Moscow: Nauka, 1969, 420 p.
4. Mozharovs'kij M.S. Teorіja pruzhnostі, plastichnostі і povzuchostі (Theory of elasticity, plasticity and creep) Kyiv: Vyshha shkola, 2002, 308 p.
5. Novozhilov V.V., Kadashevich Ju.I. Mikronaprjazhenija v konstrukcionnyh materialah (Microtension in constructional materials) Leningrad: Mashinostroenie. Leningr. otd-nie, 1990, 223 p.
6. Lubliner J., Oliver J., Oller S., Onate E., Intern. Journal of Solid Structures, 1989, vol. 25, pp. 299-326.
7. Umit Cicekli, George Z. Voyiadjis, Rashid K. Abu Al-Rub, Intern. Journal of Plastisity, 2007, vol. 23, pp. 1874-1900.
8. Yu M.N. Twin Sheory und its aplication (in Chinese) Seine Press. Beijing, 1998, 834 p.
9. Matsuoka H., Hoshikawa T., Ueno K., Soils Fond, 1990, vol. 30, no 2, pp. 119-127.
10. Lamashevskij V.P., Kucher V.N., International scientific and technical collection "Reliability and durability of cars and constructions", 2010, no 33, pp. 190-197.
11. Lamashevskij V.P., Makovetskij I.V., Strength of Materials, 2005, no 5. pp. 71-83.
12. Il'jushin A.A. Mehanika sploshnoj sredy (Mechanics of the continuous environment). Moscow: Mosk-go's publishing house un-that, 1978, 287 p.
13. Bahvalov N.S. Chislennye metody (Numerical methods). Moscow: Nauka, 1975, vol. 1, 632 p.


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