Engineering Transactions, 58, 1-2, pp. 3–13, 2010
10.24423/engtrans.167.2010

Applications of Burzynski failure criteria. Part I. Isotropic materials with asymmetry of elastic range

T. FRĄŚ
Institute of Fundamental Technological Research Polish Academy of Sciences, Warszawa
Poland

Z. L. KOWALEWSKI
Institute of Fundamental Technological Research Polish Academy of Sciences, Warszawa
Poland

R. B. PĘCHERSKI
Institute of Fundamental Technological Research Polish Academy of Sciences, Warszawa
Poland

A. RUSINEK
National Engineering School of Metz (ENIM), Laboratory of Mechanics Biomechanics Polymers and Structures (LaBPS), Metz
France

The main idea of energy-based hypothesis of material effort proposed by Burzynski is briefly presented and the resulting failure criteria are discussed. Some examples, based on the own studies, which depict applications of these criteria are discussed and visualizations of limit surfaces in the space of principal stresses are presented.
Keywords: Burzynski yield condition; yield surface; strength differential effect; energy-based yield criteria
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

W. Burzyński, Studjum nad Hipotezami Wytężenia, Akademja Nauk Technicznych, Lwów 1928; also: Włodzimierz Burzyński, “Dzieła Wybrane” part I, Polska Akademia Nauk, PWN Warszawa, 1982, 67–258; see also: Selected passages from Wlodzimierz Burzyński’s doctoral dissertation: “Study on Material Effort Hypotheses” printed in Polish by the Academy of Technical Sciences, Lwów, 1928, 1–192, Engng. Trans. 57, 185–215, 2009.

W. Burzyński, Ueber die Anstrengungshypothesen, Schweizerische Bauzeitung, 94, 21, 259–262, 1929.

W. Burzyński, Teoretyczne podstawy hipotez wytężenia, Czasopismo Techniczne, 47, 1–41, 1929; English translation: Theoretical foundations of the hypotheses of material effort, Engng. Trans., 56, 269–305, 2008.

M. Życzkowski, Discontinuous bifurcation in the case of the Burzynski – Torre yield condition, Acta Mechanica, 132, 19–35, 1999.

M. Życzkowski, Combined Loadings in the Theory of Plasticity, PWN, Warszawa, 1981.

H. Zhang, K. T. Ramesh, E. S. C. Chin, A multi-axial constitutive model for metal matrix composites, J. Mech. Phys. Solids, 56, 2972–2983, 2008.

R.B. Pęcherski, Burzyński yield condition vis-à-vis the related studies reported in the literature, Engineering Transactions, 56, 47–55, 2008.

T. Frąś, R. B. Pęcherski, Applications of the Burzyński hypothesis of material effort for isotropic solids, Mechanics & Control, 28, 2, strony, 2010.

P. S. Theocaris, Failure criteria for isotropic bodies revisited, Engineering Fracture Mechanics, 51, 239–264, 1995.

W. Lode, Versuche über den Einfluss der mittleren Hauptspannung auf die Fliessgrenze, ZAMM, 5, 1925.

G. I. Taylor, H. Quinney, The plastic distortion of metals, Phil. Trans. Roy. Soc., A230, 323–362, 1931.

J. Dutkiewicz, Raport D2-1.1., KomCerMet, 1.07.2009-30.09.2009.

Z. L. Kowalewski, Raport D2-2.4., KomCerMet, 1.07.2009-30.09.2009.

G. Vadillo, J. Fernandez–Saez, R. B. Pęcherski, Some applications of Burzyński yield condition in metal plasticity, Materials & Design, 32, 628–635, 2011.




DOI: 10.24423/engtrans.167.2010