Determination for 34CrMo4, X30 Cr13, and X5CrNi 18-10 steels of parameters in the Bodner-Partom equations

References

• Ashby , M. E. 1992 , Physical modelling of material problem . Material Science and Technology 8 (2) 102 – 111 .
   Web of Science ®Google Scholar
• Radaj , D. 2003 , Welding residual stresses and distortions . Publ DVS Verlag , Düsseldorf .
   Google Scholar
• Machnenko , V.I. 1976 , Methods of modelling kinetics of welding stresses and deformations . Publ Naukova Dumka , Kiev .
   Google Scholar
• Perzyna , P. 1966 , Theory of viscoplasticity , Publ PWN , Warsaw .
   Google Scholar
• Szevczenko , Ju. , Babeszko , M. F. and Terechov , P. G. Grigorenko , Ja. M. : 1992 , Thermoviscoplastic processes of deformation of constructional elements . Publ Naukova Dumka , Kiev .
   Google Scholar
• Miller , A. K. 1976 , Mathematical model for monotonic and cyclic deformation. Part I. Theoretical derivation and analytical method . Theoretical bases for engineering problems (2) 1 – 11 .
   Google Scholar
• Bodner , S.R. and Partom , Y. 1975 , Constitutive equation for elastic-viscoplastic strain-hardening materials . Journal of Applied Mechanics 42 , 385 – 389 .
   Google Scholar
• Bodner , S. R. 1987 , Review of unified elastic-viscoplastic theory. Unified constitutive equations for plastic deformation and creep of engineering alloys . Elsevier Applied Science .
   Google Scholar
• Chaboche , J. L. 1977 , Viscoplastic constitutive equation for the description of cyclic and aniso-tropic behaviour of metals . Bulletin de l'Acamie des Science, series des Sci. Techn . (1) 33 – 41 .
   Google Scholar
• Chan , K.S. Bodner , S.R. Walker , K.P. and Lindholm , U.S. 1984 , A survey of unified constitutive theories. Proc conf 'Second symposium on non-linear constitutive relations for high temperature applications . Cleveland , Ohio , 1 – 23 .
   Google Scholar
• James , D.H. Imbri , P.K. Allen , D.H. and Heisler , W.E. 1988 , Experimental confirmation of viscoplastic models for material at elevated temperature . Theoretical bases for engineering problems (1) 52 – 68 .
   Google Scholar
• Cziao , K.S. Bodner , S.R. and Lindholm , U.S. 1988 , Phenomeno-logical modelling of straining development in metals . Technical bases for engineering problems (1) 1 – 14 .
   Google Scholar
• Bodner , S.R. 1978 , A hardness law for inelastic deformation . Letters in Applied and Engineering Science 16 , 221 – 230 .
   Google Scholar
• Stauffer , D. C. and Bodner , S.R. 1979 , Constitutive models for the deformation induced anisotropic plastic flow of metals . International Journal of Engineering Science 757 – 764 .
   Google Scholar
• Kolkailak , F.A. and Meplote , A.J. 1990 , Bodner- Partom constitutive model and non-linear finite element analysis . Trans ASME . Journal of Engineering Materials and Technology (3) 287 – 291 .
   Web of Science ®Google Scholar
• Sheng , I. C. and Chen , J. 1990 , Modelling welding by surface heating . Trans ASME . Journal of Engineering Materials and Technology 114 , 439 – 449 .
   Google Scholar
• Senczenkov , I.K. and Zuk , Ja. vA. 1992 , Description of resonant correlations in plastic deformation . Prikladnaya Mechanika (11) 30 – 38 .
   Google Scholar
• Bodner , S.R. 1984 , Evolution equation for anisotropic hardening and damage of elasto-viscoplaswtic materials , Plasticity today: modelling methods and applications . A. Sawczuk and G. Bianchi (Elsevier Applied Science, Barking) 471 – 482 .
   Google Scholar
• Chromov , V.N. and Senczenkov , I.K. 1999 , Discussion on machine parts subjected to thermoplastic padding . OGSHA, Orel .
   Google Scholar
• Dexter , R.J. Chen , K.S. and Couts , W. H. 1991 , Elastic-viscoplastic finite-element analysis of forging die , International Journal of Mechanical Science (8) 659 – 674 .
   Web of Science ®Google Scholar
• Senczenkov , I. K. Tabieva , G. A. Ryabatsev , I. A. and Turyk , E. 2006 , Calculation of residual stresses in multilayer surfacing of cylindrical components on the basis of the theory of growth of viscoplastic solids , Welding International (2) 150 – 156 .
   Google Scholar
• Senczenkov , I. Turyk , E. Ryabcev , T. and Tabieva , G. 2003 , Modelling of non-linear thermal padding, and technological applications . Publ Osnova , Charkov , 109 – 114 .
   Google Scholar
• Senczenkov , I.K. 2005 , Thermomechanical model of growing cylindrical bodies made of physically non-linear materials . International Applied Mechanica 41 (9) 1059 – 1065 .
   Google Scholar
• Bodner , S.R. Partom , I. and Partom , J. 1979 , Uniaxial cyclic loading of elastic- viscoplastic materials . Journal of Applied Mechanics (4) 805 – 810 .
   Web of Science ®Google Scholar
• Senczenkov , I.K. Zuk , Ja. A. and Tabieva , G. A. 1998 , Thermo-dynamic modification to space models of thermovisco plasticity . Prikladnaya Mechanika 34 (4) .
   Google Scholar
• Bednarski , Y. 1995 , Outline mechanics of plastic flow . PWN , Warsaw .
   Google Scholar
• Jakowluk , A. 1993 , Creep and fatigue processes in materials . Publ WNT , Warsaw .
   Google Scholar
• Senczenkov , I.K. and Tabieva , G.A. 1996 , Determination of the parameters of the Bodner-Partom model for thermoviscoplastic deformation of materials . International Applied Mechanics 32 (2) 132 – 139 .
   Google Scholar
• Bezuchov , N.I. Ba¿annov V.L. Goldenblat I.I. Nikolaen ko N.A. Sinjukov A.M. et al. , Examples of stability, and correlation in systems at high temperatures . Maszinostroenie , Moscow , 1965 .
   Google Scholar
• Tyryk , E. Marczak , Z. and Kalita , M. Residualo stresses in a chrome-nickel 18 - 8 grade padded steel . Biultyn Instytutu Spawalnictwa 2005 (2) 29 – 34 .
   Google Scholar