A generalized failure criterion for three-dimensional behaviour of isotropic materials

Engineering Fracture Mechanics

Volumn 54, Issue 1, 1996, Pages 75-90

  Altenbach, H ^a,c   Zolochevsky, A ^b  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b NATIONAL TECHNICAL UNIVERSITY   (Ukraine)

^c MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; EPOXY RESINS; HYDROSTATIC PRESSURE; IRON; MAGNESIUM ALLOYS; MATERIALS; MECHANICAL TESTING; PRESSURE EFFECTS; TENSORS; THREE DIMENSIONAL; TORSIONAL STRESS;

AXIAL FORCE; FAILURE TESTING; GREY CAST IRON; ISOTROPIC MATERIALS; TORSIONAL MOMENTUM;

FAILURE (MECHANICAL);

EID: 0030151757     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/0013-7944(95)00109-3     Document Type: Article

References (35)

1. P. W. Bridgeman, Studies in Large Plastic Flow and Fracture. McGraw-Hill, New York (1952).
2. P. W. Bridgeman, The Physics of High Pressure. Bell, London (1949).
3. L. L. Mills and R. M. Zimmerman, Compressive strength of plain concrete under multiaxial loading conditions. J. Amer. Concr. Inst. 67, 802-807 (1970).
4. P. Launay and H. Gachon, Strain and ultimate strength of concrete under triaxial stress. Amer. Concr. Inst. Spec. Publ. 34, Paper 13 (1970).
5. N. Cristescu, Rock Rheology. Kluwer, Dordrecht (1989).
6. U. Hunsche and H. Albrecht, Results of true triaxial strength tests on rock salt. Engng Fracture Mech. 35, 867-877 (1990).
7. J. E. French, P. F. Weinrich and C. W. Weaser, Tensile fracture of free machining brass as a function of hydrostatic pressure. Acta Metall. 21, 1045-1049 (1973).
8. W. F. Chen, Plasticity of Reinforced Concrete. McGraw-Hill, New York (1982).
9. N. S. Ottosen, A failure criterion for concrete. Trans. ASCE, J. Engng Mech. 103, 527-535 (1977).
10. D. Gross, Bruchmechanik 1. Springer, Berlin (1992).
11. S. Sähn, H. Göldner, J. Nickel and K.-F. Fischer, Bruch- und Beurteilungskriterien in der Festigkeitslehre. Fachbuchverlag, Leipzig (1993).
12. H. Altenbach, Werkstoffmechanik. Deutscher Verlag für Grundstoffindustrie, Leipzig (1993).
13. G. S. Pisarenko and A. A. Lebedev, Deformation and Strength of Materials under Multiaxial Loading. Naukova Dumka (1976).
14. M. Życzkowski, Combined Loadings in the Theory of Plasticity. PWN-Polish Scientific, Warsaw (1981).
15. V. V. Novozhilov, On the principles of analysis of results of static tests of isotropic materials. Prikl. Mat. i. Mekh. 15, 709-722 (1951).
16. H. Altenbach, U. Lauschke and A. Zolochevsky, Ein verallgemeinertes versagenskriterium und seine gegenüberstellung mit versuchsergebnissen. ZAMM 73, T372-T375 (1993).
17. O. E. Ol'khovik, On influence of volume deformations on strength of construction materials. VINITI 2444-85, Leningrad (1984).
18. R. von Mises, Mechanik des festen Körpers im plastischen Zustand. Nachrichten der Gesellschaft der Wissenschaften, Göttingen (1913).
19. H. Tresca, Mémoire sur l'ecoulement des corps solides. Mémoires Pres. par Div. Sav. 18, 733-799 (1868).
20. V. P. Sdobyrev, Criterion of long-time strength for some alloys under multiaxial stress state. Izv. AN SSSR. OTN. Mekh. i Mashinostroenie 6, 93-99 (1959).
21. F. Schleicher, Der Spannungszustand an der Fließrenze (Plastizitätsbedingung). ZAMM 6, 199-216 (1926).
22. Z. Klebowski, Obecny stan wytrzymałościowego obliczenia materialów o właśnoscia-chuogólnionych. Przeglad Techniczny 11 (1934).
23. A. Nadai, Theory of Flow and Fracture of Solids. McGraw-Hill, New York (1950).
24. D. C. Drucker and W. Prager, Soil mechanics and plastic analysis or limit design. Q. appl. Math. 10, 157-165 (1952).
25. G. Sandel, Über die Festigkeitsbedingungen. Ph.D. Thesis, TH Stuttgart (1920).
26. B. I. Koval'chuk, On criterion of limit state of some steels under multiaxial stress state on room or higher temperatures. Probl. Prochnosti 5, 10-15 (1981).
27. B. Paul, Macroscopic criteria of plastic flow and brittle fracture, in Fracture: an Advanced Treatise (Mathematical Fundamentals) (Edited by H. Liebowitz), Vol. II. Academic Press, New York (1968).
28. I. Yu. Tsvelodub, The Stability Postulate and its Applications in Creep Theory of Metallic Materials. Institute of Hydrodynamics, Novosibirsk (1991).
29. I. A. Birger, On criterion of fracture and plasticity. Izv. AN SSSR. Mech. Tv. Tela. 4, 143-150 (1977).
30. I. I. Tarasenko, On criterion of brittle strength of metals. Sb. Nauch. Tr. Leningr. Inzh.-stroit. Instil. 26, 161-168 (1957).
31. O. E. Ol'khovik, Static strength of an epoxy compound under hydrostatic stress state. Izv. vuzov. Mashinostroenie 9, 3-7 (1986).
32. P. V. Lade, Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces. Int. J. Solids Structures 13, 1019-1035 (1977).
33. M. Langer, Entwurf und Dimensionierung eines Endlagerbergwerkes für radioaktive Abfälle im Salzgebirge, Proc. 6th Int. Congress on Rock Mech. (Edited by G. Herget and S. Vongpaisal). Balkema, Rotterdam (1987).
34. R. de Boer and H. T. Dresenkamp, Constitutive equations for concrete in failure state. Trans. ASCE, J. Engng Mech. 115, 1591-1608 (1989).
35. D. F. Hambley, C. J. Fordham and P. E. Senseny, General failure criteria for salt rock. Proc. 30th U.S. Symp. on Rock Mech. as Guide Effic. Util. Natur. Resour. (Edited by Khair). Balkema, Rotterdam (1989).