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Burzynski yield condition vis-a-vis the related studies reported in the literature

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The paper is written in accompaniment of the publication of English translation of W. Burzyński's paper, which deals with the yield criterion for materials revealing the sensitivity of yield strength to pressure derived by W. Burzyński during preparation of his doctor thesis in 1927]. More recently the dependence of yield strength on pressure is related to the so-called strength differential (SD) effect, i.e. asymmetry of elastic range, cf. e.g. Therefore, the original Burzyński's formulation of yield condition remains actual and acquires increasing significance. The position of Burzyński's energy-based approach in the literature is reported and his main achievement in this field concerning the recent studies is discussed.
Rocznik
Strony
383--391
Opis fizyczny
Bibliogr. 44 poz., wykr.
Twórcy
Bibliografia
  • 1. W. BURZYNSKI, Teoretyczne podstawy hipotez wytezenia, Czasopismo Technicznc. 1929, 47. 1-41, Lwow [in Polish], reprinted in: Wiodzimierz BURZYNSKI: Dziela Wybrane, tom. I. Polska Akademia Nauk, PWN Warszawa, 1982, 264 303 [in Polish]; English translation: Theoretical foundations of the hypotheses of material effort. Engng. Trans.. 56. 3. 269-305, 2008.
  • 2. W. BURZYNSKI, Studjum nad Hipotezami Wytezenia, (Study on Material Effort Hypses), Nakladem Akademji Nauk Technicznych (issued by the Academy of Technical Sciences), Lwow. .January 7. 192N. 1 192 [in Polish); reprinted in: Wiodzimierz BURZYNSKI: Dziela Wybrane, tom V.
  • 3. A. KOLUPAEV, S. ROLLING, A. BOLCHOUN, M. MONEKE, A limit surf ace formulation for plastically compressible polymers, Mechanics of Composite Materials. 43, 245-258, 2007.
  • 4. P. KORDZIKOWSKI, M. JANUS-MICHALSKA, R. B. PE.CHERSKI, Specification of energy-based criterion of elastic limit states for cellular materials. Archives of Metallurgy and Materials, 50, 621-634, 2005.
  • 5. V. A. KOLUPAEV. A. KRAATZ, M. MONEKE, A. BOLCHOUN, Beschreibung der mehrax-ialen Kriechphdnomene bei Hartschaumstoffen, KGK. Kautschuk, Gummi. Kunststoffe. 59. 17-26, 2006.
  • 6. R. B. PE.CHERSKI. P. KORDZIKOWSKI. Phenomenological description of mechanical properties and modelling of inelastic deformation of nano-structured materials, Archives of Metallurgy and Materials, 2009 - submitted for publication. I, Polska Akademia Nauk, PWN Warszawa, 1982, 67-258 [in Polish).
  • 7. D. C. DRUCKER, Plasticity theory, strength-differential (SD) phenomenon, and volume expansion in metals and plastics. Met. Trans., 4. 667-673, 1973.
  • 8. C. D. WILSON. .4 critical re-examination of classical metal plasticity, J. Appl. Mech.. 69. 63-68, 2002.
  • 9. A. NARDIN, G. ZAVARISE, B. A. SCHREFLER, Modelling of cutting tool - soil interaction - Part I: contact behaviour, Computational Mechanics, 31, 327-339. 2003.
  • 10. Z. S. OLESIAK. Wlodzimierz Stanislaw Trzywdar Burzynski, Engng. Trans., 56, 4, 377-382, 2008.
  • 11. W. BURZYNSKI, Ueber die Anstrengungshypothesen, Schweizerische Bauzeitung, 94. Nr. 21. 23. November 1929, 259-262; reprinted in Wlodzimierz BURZYNSKI: Dziela Wybrane, torn I, Polska Akademia Xauk, PWN Warszawa, 1982, 259-262.
  • 12. M. ZYCZKOWSKI, Combined Loadings in the Theory of Plasticity, PWN-Polish Scientific Publishers, Warszawa, 1981.
  • 13. M. ZYCZKOWSKI, Discontinuous bifurcations in the case of the Burzynski-Torre yield condition, Acta Mechanica. 132, 19-35, 1999.
  • 14. J. J. SKRZYPEK, Plasticity and Creep. Theory, Examples, and Problems, R. B. Hetnarski (English Edition Editor), CRC Press, Boca Raton, 1993.
  • 15. M. JIRASEK. Z. P. BAZANT, Inelastic Analysis of Structures, J. Wiley, Chichester, 2002.
  • 16. G. S. PISARENKO, A. A. LEBEDEV, The Deformation and Strength of Materials under Complex State of Stress [in Russian], Naukova Dumka, Kiev, 1973.
  • 17. V. V. BOZHIDARNIK. G.T. SULYM, Elements of the Theory of Plasticity and Fracture [in Ukrainian], CWIT, Lviv, 1999.
  • 18. M.-H. Yu, Unified Strength Theory and its Applications, Springer-Verlag, Berlin, Heidelberg, 2004.
  • 19. M.-H. Yu, G.-W. MA, H.-F.QIANG, Y.-Q. ZHANG. Generalized Plasticity, Springer-Verlag, Berlin, Heidelberg, 2006.
  • 20. G. D. SANDEL, Die Anstrengungsfrage. Schweizerische Bauzeitung. 95. Nr. 26, 28. Juni 1930, 335-338.
  • 21. H. GEIRINGER, W. PRAGER, Mechanik isotroper Korper im plastischen Zustand, Ergeb-nisse der exakten Naturwissenschaften, 13, 314-363, 1934.
  • 22. M. Ros, A. EICHINGER, Die Bruchgefahr fester Korper hex ruhender - statischer - Beanspruchung. Ergebnisse der an der Eidg. Materialprilfungs- und Versuchsanstalt fur Industrie, Bauwesen und Gewerbe von 1925-1949 durchgefiihrten Untersuchungen, Bericht Nr. 172, Zurich, September 1949.
  • 23. A. BECCHI, / Critert di Plasticitd: Cento Anni di Dibattito (1864-1964), Doctor Thesis, Firenze, L994.
  • 21. G. D. SANDEL, Ueber die Festigkeitsbedingungen, Dissertation, T.H. Stuttgart, 1919; Janecke Verlagsbuchhandlung, Leipzig, 1925.
  • 25. G. D. SANDEL, Letter to the editor, Schweizerische Bauzeitung, 95, 15. Februar, Nr. 7, 87, 1930.
  • 26. W. BURZYNSKI. Letter to the editor. Schweizerische Bauzeitung, 95, 15. Februar, Nr. 7, 87, 1930.
  • 27. G. D. SANDEL, Letter to the editor, Schweizerische Bauzeitung, 95, 1 Marz, Nr. 9, 123,1930.
  • 28. M. T. HUBER. Wlasciwa praca odksztalcenia jako miara wytqzenia materjalu, Czasopismo Techniczne. I.wow. 1904 (see also the English translation: Specific work of strain as a measure of material effort Arch. Mech.. 56. 173-190, 2004).
  • 29. R. v. MISES, Mechanik der festen Korper im plastisch-deformablen Zustand, Gottingen Nachrichten, Math.-Phys. Klasse, Z. 4 (1), 582-592, 1913.
  • 30. R. HENCKY, Zur Theorie plastischer Deformationen und der hierdurch im Material her-vorgerufenen Nachspannungen, ZAMM, 4, 323-334, 1924.
  • 31. K. V. MISES, Mechanik der plastischen Formdnderung von Kristallen, ZAMM, 8, 161-185, 1928.
  • 32. R. HILL, A theory of the yielding and plastic flow of anisotropic metals, Proc. Roy. Soc. London. A193. 281-297, 1948; also The Mathematical Theory of Plasticity, Oxford, Clarendon Press, 1950, p. 318-340.
  • 33. P. S. THEOCARIS, T. P. PHILIPPIDIS, The paraboloidal failure surface of initially anisotropic elastic solids, J. Reinf. Plastics Compos., 6, 378-395, 1987.
  • 34. P. S. THEOCARIS, The parabo lid failure surf ace for the general orthotropic material, Acta Mech., 79, 53-79, 1989.
  • 35. P. S. THEOCARIS, Variances in failure tensor polynomials for anisotropic bodies, Eng. Fracture Mech., 51, 707-733, 1995.
  • 36. R. B. PACHERSKI, T. FRA_S, Study of the yield condtion for anisotropic solids revealing asymmetry of elastic range with comparison of the criteria proposed by Burzynski, Hill and Theocaris - forthcoming paper.
  • 37. G. D. SANDEL, Uber die Festigkeitsbedingungen, Dissertation, T.H. Stutgart, 1919.
  • 38. KARL-EUGEN KURRER, The History of The Theory of Structures: From Arch Analysis to Computational Mechanis, J. Wiley, 2008; Geschichte von Baustatik, Ernst and Sohn Verlag, Berlin, 2002.
  • 39. F. SCHLEICHER, Die Energiegrenze der Elastizitat (Plastizitatbedingung), Vortrdge der Danziger Tagung, ZAMM. 5. 478-479, 1925.
  • 40. F. SCHLEICHER, Der Spannungszustand an der Fliefigrenze (Plastizitatsbedingung), ZAMM, 6, 199-216. 1926.
  • 41. F. SCHLEICHER, Uber die Sicherheit gegen Uberschreiten der Fliessgrenze hex statischer Beanspruchung, Der Bauingenieur, 9, Heft 15, 253-261, 13 April 1928.
  • 42. A. NADAI, Theory of Plow and Fracture of Solids, Vol. I, second edition, McGraw Hill, New York, 1950.
  • 43. R. M. CHRISTENSEN, A two-property yield, failure (fracture) criterion for homogeneous, isotropic materials, J. Eng. Mater. Technol.. 12G., s.5-52, 2004.
  • 44. R. M. CHRISTENSEN, A comparative evaluation of three isotropic, two property failure theories, J. Appl. Mech., 73, 852-859, September 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0040-0017
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