ABOUT LOADING SURFACES OF MATERIALS, WHICH HAVE DIFFERENT TENSILE AND COMPRESSION STRENGTH

Н. К. Кучер, В. Н. Кучер

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) Kiev, 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 ) Kiev: 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, plastichnostіі povzuchostі (Theory of elasticity, plasticity and creep) Kiev: 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.


GOST Style Citations


1.           Писаренко Г.С., Лебедев А.А. Деформирование и прочность материалов при сложном напряженном состоянии. – Киев: Наукова думка, 1976. – 416 с.

 

2.           Лебедев А.А., Ковальчук Б.И., Гигиняк Ф.Ф., Ламашевский В.П. Механические свойства конструкционных материалов при сложном напряженном состоянии / Под ред. академика НАН Украины А.А.Лебедева. - Киев: Издательский дом “Ин Юре”, 2003. – 540 с.

 

3.           Качанов Л.М. Основы теории пластичности. – Москва: Наука, 1969. - 420 с.

 

4.           Можаровський М.С.Теорія пружності, пластичності і повзучості. - Київ: Вища школа, 2002. – 308 с.

 

5.           Новожилов В.В., Кадашевич Ю.И. Микронапряжения в конструкционных материалах. – Ленинград: Машиностроение. Ленингр. отд-ние, 1990. – 223 с.

 

6.           Lubliner J., Oliver J., Oller S., Onate E. A plastic – demage model for concrete // Intern. Journal of Solid Structures. – 1989. – Vol. 25. – P. 299-326.

 

7.           Umit Cicekli, George Z. Voyiadjis, Rashid K. Abu Al-Rub. A plasticity and anisotropic damage model for plain concrete // Intern. Journal of Plastisity. – 2007. – Vol. 23. – P. 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. A general failure criterion and stress-strain relation for granular materials to metals // Soils Fond. – 1990. – Vol. 30, N 2. - P. 119-127.

 

10.         Ламашевский В.П., Кучер В.Н. Экспериментальное исследование особенностей деформирования высокопрочного чугуна при растяжении и сжатии // Надежность и долговечность машин и сооружений. – 2010. - Вып. 33.-С. 190-197.

 

11.         Ламашевский В.П., Маковецкий И.В. Деформирование и прочность ковкого чугуна при сложном напряженном состоянии // Пробл. прочности. – 2005. - №5. – С. 71 -83.

 

12.         Ильюшин А.А. Механика сплошной среды. – Москва: Изд-во Моск-го ун-та, 1978. – 287 с.

 

13.         Бахвалов Н.С. Численные методы. – Москва: Наука, 1975. – Т.1. – 632 с.





DOI: http://dx.doi.org/10.20535/2305-9001.2012.65.38261

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 Mechanics and Advanced Technologies