APPLICATIONS OF THE BURZYŃSKI HYPOTHESIS OF MATERIAL EFFORT FOR ISOTROPIC SOLIDS

Authors

  • Teresa Frąś AGH University of Science and Technology
  • Ryszard Pęcherski AGH University of Science and Technology

Keywords:

Burzyński yield condition, yield surface, strength differential effect, energy-based yield criteria

Abstract

The paper contains a short presentation of main idea of energy-based hypothesis of material effort proposed by Burzyński with discussion of the resulting failure criteria. Some examples illustrating applications of these criteria are discussed and visualizations of limit surfaces in the space of principal stresses are presented.

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References

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

Burzyński W. 1928, Studjum nad hipotezami wytężenia. Akademija Nauk Technicznych, Lwów; also: Burzyński W. 1982, Dzieła wybrane, part 1, PWN, Warszawa, 67-258 and English translation: Study on Material Effort Hypotheses (selected passage from doctoral dissertation), Enging. Trans., 57, 2009, 185-215.

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

Drucker D.C., Prager W. 1952, Soil mechanics and plastic analysis or limit design. Quart. Appl. Math. 10, 157.

Dutkiewicz J. 2009, Raport D2-1.1. KomCerMet, 1.07.2009-30.09.2009

Jirasek, M., Bażant, Z.P. 2002, Inelastic Analysis of Structures. J. Wiley, Chichester.

Kowalewski Z. 2009, Raport D2-2.1. KomCerMet, 1.07.2009-30.09.2009.

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

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

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

Skrzypek J.J. 1993, Plasticity and Creep. Theory, Examples, and Problems. R.B. Hetnarski (English Edition Editor), CRC Press, Boca Raton.

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

Nardin, A., Zawarise, G., Schrefler, B.A. 2003, Modelling of cutting tool -soil interaction - Part I: contact behaviour. Computational Mechanics, 31, 327-339.

Życzkowski M. 1981, Combined Loadings in the Theory of Plasticity. PWN-Polish Scientific Publishers, Warszawa.

Życzkowski M. 1999, Discontinuous bifurcation in the case of the Burzyn-ski - Torre yield condition. Acta Mechanica, 132, 19-35.

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Published

2010-07-22

Issue

Vol. 29 No. 2 (2010)

Section

Articles

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