Details

Title

Modelling of Heat Treatment of Steel Elements with the Movement of Coolant

Journal title

Archives of Metallurgy and Materials

Yearbook

2011

Numer

No 2 June

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Institute of Metallurgy and Materials Science of Polish Academy of Sciences ; Commitee on Metallurgy of Polish Academy of Sciences

Date

2011

Identifier

ISSN 1733-3490

References

Lan Y. (2004), Modeling austenite decomposition into ferrite at different cooling rate in low-carbon steel with cellular automaton method, Acta Materialia, 52, 1721, doi.org/10.1016/j.actamat.2003.12.045 ; Lee K. (1999), Characteristics of heat generation during transformation in carbon steels, Scripta Materialia, 40, 735, doi.org/10.1016/S1359-6462(98)00477-1 ; Ronda J. (2000), Consistent thermo-mechano-metallurgical model of welded steel with unified approach to derivation of phase evolution laws and transformation-induced plasticity, Comput. Methods Appl. Mech. Engrg, 189, 361, doi.org/10.1016/S0045-7825(99)00461-2 ; Bokota A. (2007), Model and numerical analysis of hardening process phenomena for medium-carbon steel, Archives of Metallurgy and Materials, 52, 2, 337. ; Silva E. (2004), On the thermo-mechanical coupling in austenite-martensite phase transformation related to the quenching process, International Journal of Solids and Structures, 41, 1139, doi.org/10.1016/j.ijsolstr.2003.09.049 ; Benitoa J. (2007), Solving parabolic and hyperbolic equations by the generalized finite difference method, Journal of Computational and Applied Mathematics, 209, 208, doi.org/10.1016/j.cam.2006.10.090 ; Liszka T. (1984), An interpolation method for an irregular net of nodes, Internat. J. Numer. Methods Eng, 20, 1599, doi.org/10.1002/nme.1620200905 ; Fletcher R. (1976), Conjugate gradient methods for indefinite systems, Numerical Analysis, Lecture Notes in Mathematics, 506, 73, doi.org/10.1007/BFb0080116 ; Axelsson O. (2000), Iterative Solution Methods. ; Zienkiewicz O. (1995), A general algorithm for compressible and incompressible flow, Part I. The split characteristic based scheme, International Journal for Numerical Metods in Fluids, 20, 869, doi.org/10.1002/fld.1650200812 ; O.C. Zienkiewicz, R.L. Taylor, The finite element method, Butterworth-Heinemann, Fifth edition <b>1,2,3</b>, (2000). ; Chorin A. (1968), Numerical solution of the Navier-Stokes equation, Math. Comput, 23, 745. ; A. Kulawik, Numerical analysis of thermal and mechanical phenomena during hardening processes of the 45 steel, PhD Thesis, Częstochowa (2005), (in Polish). ; Avrami M. (1939), J. Chem. Phys, 7, 1103, doi.org/10.1063/1.1750380 ; H.J.M. Geijselaers, Numerical simulation of stresses due to solid state transformations. The simulation of laser hardening, Thesis University of Twente, The Netherlands, (2003). ; Chen B. (2002), An incremental constitutive relationship incorporating phase transformation with the application to stress analysis, Journal of Materials Processing Technology, 122, 208, doi.org/10.1016/S0924-0136(02)00017-1 ; Koistinen D. (1959), A general equation prescribing the extent of the autenite-martensite transformation in pure iron-carbon alloys and plain carbon steels, Acta Metallica, 7, 59, doi.org/10.1016/0001-6160(59)90170-1 ; Wever F. (1954), Alas zur Wärmebehandlung von Stähle. ; Wever F. (1961), Atlas zur Wärmebehandlung von Stähle, I Zeit Temperatur Umwandlungs Schaubilder. ; Cardle J. (1995), A modification of the Petrov-Galerkin method for the transient convection-diffusion equation, International Journal for Numerical Methods in Engineering, 38, 171, doi.org/10.1002/nme.1620380202 ; Ghia U. (1982), High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method, J. of Computational Physics, 48, 3, 387, doi.org/10.1016/0021-9991(82)90058-4

DOI

10.2478/v10172-011-0037-5

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