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Plastic stresses, strains and the phase of failure in tension

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Języki publikacji
EN
Abstrakty
EN
In this paper the analysis of the state of strain and stress in necking has been analysed. A description of the stress-strain relationship, which takes into account strain hardening, and next necking until the moment of rupture, along with a description of breaking stresses, allows one to build such a mathematical model (described in bi-polar coordinates) in the whole range of load, which accounts for the fracture formation and the element failure.
Rocznik
Strony
82--109
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
  • Technical University of Lodz, Department of Materials and Structures Strength Stefanowskiego 1/15, 90-924 Lodz, Poland
Bibliografia
  • [1] Bridgman P W: Studies in large plastic flow and fracture, Mc Graw - Hill, New York 1952.
  • [2] Cherepanov G. P.:Mechanics of brittle fracture, Mc Graw - Hill, New York 1979.
  • [3] Frocht M. M.:Photoelasticity, John Wiley, New York 1960.
  • [4] Hill R.:The mathematical theory of plasticity, Oxford: The Clarendon Press 1950.
  • [5] Hoffman O., Sachs G.:Introduction to the Theory of Plasticity for Engineers, McGraw- Hill Book Company, Inc. 1953.
  • [6] Kobayashi A. S., Harris D. O., Engstrom W. L.:Transient Analysis in a Fracturing Magnesium Plate, Experimental Mechanics, 1967.
  • [7] Ludwik P.:Elemente der technologischen Mechanik, Berlin: Springer 1909.
  • [8] Mróz Z.:Non- associated flow laws in plasticity, Journal de Mecanique, 2, 1963.
  • [9] Sih G. C.:Hanbook of Stress-Intensity Factors, Bethlehem, Leigh University Press, 1, 1973.
  • [10] Sih G. C.:Strain-energy-density factor applied to mixed mode crack problems, Int. J. of Fraction, 10, 305-321, 1974.
  • [11] Sih G. C., Hutchinson J.:Fully Plastic Solutions and Large Scale Yielding Estimates for Plane Stress Crack Problems, Journal of Engineering Materials and Technology, 76, 1976.
  • [12] Tada H., Paris P., Irwin G. R.:The stress analysis of cracks: Handbook, Heller-town: Del Research Corp. 1973.
  • [13] Timoschenko S.:Theory of Elasticity, John Wiley, New York 1980.
  • [14] Tvergaard V. and Hutchinson J. W.:Effect of strain-dependent cohesive zone model on prediction of crack growth resistance, Int. J. Solid Structures, 33, 3297-3308, 1996.
  • [15] Tetelman A. S. , Wilshaw T. R. and Rau C. A.:The critical tensile stress criterion for cleavage, Int. Journal of Fracture Mechanics, 4, 1968.
  • [16] User's Guide ANSYS(2002): 6,9, Ansys, Inc., Huston, USA.
  • [17] Wegner T.:Surface of limit state in nonlinear material and its relation with plasticity condition, The Archive of Mechanical Engineering, 3 XLVII, 205-223, 2000.
  • [18] Wegner T.:A method of material modelling with the use of strength hypothesis of inner equilibrium stability, Mechanics and Mechanical Engineering, 2 4, 139-147, 2000.
  • [19] Zienkiewicz O. C.:The Finite Element Method in Engineering Science, Mc Graw -Hill, London, New York 1971.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0006-0007
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