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Original Articles

Application of the thermodynamic extremal principle to modeling of thermodynamic processes in material sciences

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Pages 3699-3707 | Received 03 May 2005, Accepted 20 Jul 2005, Published online: 21 Feb 2007

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K. Wang & F. Liu. (2015) Applications of irreversible thermodynamics to rapid solidification of multicomponent alloys. Materials Science and Technology 31:13, pages 1642-1648.
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Jiří Svoboda, Franz Dieter Fischer & Rainer Abart. (2012) Modeling the role of sources and sinks for vacancies on the kinetics of diffusive phase transformation in binary systems with several stoichiometric phases. Philosophical Magazine Letters 92:2, pages 67-76.
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J. Svoboda, F.D. Fischer & D.L. McDowell. (2012) Derivation of the phase field equations from the thermodynamic extremal principle. Acta Materialia 60:1, pages 396-406.
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Klaus Hackl, Franz Dieter Fischer & Jiri Svoboda. (2011) A study on the principle of maximum dissipation for coupled and non-coupled non-isothermal processes in materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467:2132, pages 2422-2426.
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J. Svoboda, E. Gamsjäger, F.D. Fischer, Y. Liu & E. Kozeschnik. (2011) Diffusion processes in a migrating interface: The thick-interface model. Acta Materialia 59:12, pages 4775-4786.
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J. Svoboda & E. Gamsjäger. (2011) Modelling of diffusive and massive phase transformations in binary systems – thick interface parametric model. International Journal of Materials Research 102:6, pages 666-673.
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F.D. Fischer, J. Svoboda, F. Appel & E. Kozeschnik. (2011) Modeling of excess vacancy annihilation at different types of sinks. Acta Materialia 59:9, pages 3463-3472.
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Klaus Hackl, Franz Dieter Fischer & Jiri Svoboda. (2010) A study on the principle of maximum dissipation for coupled and non-coupled non-isothermal processes in materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467:2128, pages 1186-1196.
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O. Kolednik, J. Predan & F.D. Fischer. (2010) Reprint of “Cracks in inhomogeneous materials: Comprehensive assessment using the configurational forces concept”. Engineering Fracture Mechanics 77:18, pages 3611-3624.
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A. Falahati, E. Povoden-Karadeniz, P. Lang, P. Warczok & E. Kozeschnik. (2010) Thermo-kinetic computer simulation of differential scanning calorimetry curves of AlMgSi alloys. International Journal of Materials Research 101:9, pages 1089-1096.
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O. Kolednik, J. Predan & F.D. Fischer. (2010) Cracks in inhomogeneous materials: Comprehensive assessment using the configurational forces concept. Engineering Fracture Mechanics 77:14, pages 2698-2711.
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Jiří Svoboda & Gerhard Maier. (2010) Modeling of formation of precipitate-free zone. International Journal of Materials Research 101:8, pages 997-1002.
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J.W.C. Dunlop, F.D. Fischer, E. Gamsjäger & P. Fratzl. (2010) A theoretical model for tissue growth in confined geometries. Journal of the Mechanics and Physics of Solids 58:8, pages 1073-1087.
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Adam Moroz. (2010) Cooperative and collective effects in light of the maximum energy dissipation principle. Physics Letters A 374:19-20, pages 2005-2010.
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Jae-Hyeok Shim, Ernst Kozeschnik, Woo-Sang Jung, Seung-Cheol Lee, Dong-Ik Kim, Jin-Yoo Suh, Young-Su Lee & Young Whan Cho. (2010) Numerical simulation of long-term precipitate evolution in austenitic heat-resistant steels. Calphad 34:1, pages 105-112.
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Júlia Dégi, Rainer Abart, Kálmán Török, Enikő Bali, Richard Wirth & Dieter Rhede. (2009) Symplectite formation during decompression induced garnet breakdown in lower crustal mafic granulite xenoliths: mechanisms and rates. Contributions to Mineralogy and Petrology 159:3, pages 293-314.
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E Kozeschnik, J Svoboda, R Radis & F D Fischer. (2010) Mean-field model for the growth and coarsening of stoichiometric precipitates at grain boundaries. Modelling and Simulation in Materials Science and Engineering 18:1, pages 015011.
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Adam Moroz. (2009) A Variational Framework for Nonlinear Chemical Thermodynamics Employing the Maximum Energy Dissipation Principle. The Journal of Physical Chemistry B 113:23, pages 8086-8090.
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J. Svoboda, F.D. Fischer & D. Vollath. (2009) Modeling of formation of binary-phase hollow nanospheres from metallic solid nanospheres. Acta Materialia 57:6, pages 1912-1919.
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F.D. Fischer, J. Svoboda, E. Gamsjäger & E.R. Oberaigner. (2008) From distribution functions to evolution equations for grain growth and coarsening. Acta Materialia 56:19, pages 5395-5400.
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J. Svoboda, F.D. Fischer & P.H. Mayrhofer. (2008) A model for evolution of shape changing precipitates in multicomponent systems. Acta Materialia 56:17, pages 4896-4904.
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Markus Rettenmayr & Martin Buchmann. (2008) Modeling rapid liquid/solid and solid/liquid phase transformations in Al alloys. International Journal of Materials Research 99:6, pages 613-617.
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Bernhard Sonderegger, Ernst Kozeschnik, Harald Leitner, Helmut Clemens, Jiri Svoboda & Franz Dieter Fischer. (2008) Computational analysis of the precipitation kinetics in a complex tool steel. International Journal of Materials Research 99:4, pages 410-415.
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F. D. Fischer & J. Svoboda. (2007) High temperature instability of hollow nanoparticles. Journal of Nanoparticle Research 10:2, pages 255-261.
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Klaus Hackl & Franz Dieter Fischer. (2007) On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464:2089, pages 117-132.
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E. Kozeschnik & I. Holzer. 2008. Creep-Resistant Steels. Creep-Resistant Steels 305 328 .
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F. D. Fischer & J. Svoboda. (2007) A Note on the Principle of Maximum Dissipation Rate. Journal of Applied Mechanics 74:5, pages 923-926.
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E. Gamsjäger. (2007) A note on the contact conditions at migrating interfaces. Acta Materialia 55:14, pages 4823-4833.
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J. Svoboda & F.D. Fischer. (2007) A new approach to modelling of non-steady grain growth. Acta Materialia 55:13, pages 4467-4474.
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E. Gamsjäger, J. Svoboda, F.D. Fischer & M. Rettenmayr. (2007) Kinetics of solute driven melting and solidification. Acta Materialia 55:8, pages 2599-2607.
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E. Kozeschnik, I. Holzer & B. Sonderegger. (2007) On the Potential for Improving Equilibrium Thermodynamic Databases with Kinetic Simulations. Journal of Phase Equilibria and Diffusion 28:1, pages 64-71.
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Ernst Kozeschnik. 2007. Computational Materials Engineering. Computational Materials Engineering 179 217 .
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R. Kienzler, F. D. Fischer & P. Fratzl. (2006) On energy changes due to the formation of a circular hole in an elastic plate. Archive of Applied Mechanics 76:11-12, pages 681-697.
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J. Svoboda, E. Gamsjäger, F. D. Fischer & E. Kozeschnik. (2006) Modeling of kinetics of diffusive phase transformation in binary systems with multiple stoichiometric phases. Journal of Phase Equilibria and Diffusion 27:6, pages 622-628.
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H. Leitner, M. Bischof, H. Clemens, S. Erlach, B. Sonderegger, E. Kozeschnik, J. Svoboda & F. D. Fischer. (2006) Precipitation Behaviour of a Complex Steel. Advanced Engineering Materials 8:11, pages 1066-1077.
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O. Kolednik. (2006) The Characterization of Local Deformation and Fracture Properties – a Tool for Advanced Materials Design. Advanced Engineering Materials 8:11, pages 1079-1083.
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J. Svoboda, E. Gamsjäger & F.D. Fischer. (2006) Influence of diffusional stress relaxation on growth of stoichiometric precipitates in binary systems. Acta Materialia 54:17, pages 4575-4581.
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J. Svoboda, F.D. Fischer & P. Fratzl. (2006) Diffusion and creep in multi-component alloys with non-ideal sources and sinks for vacancies. Acta Materialia 54:11, pages 3043-3053.
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Franz Dieter Fischer, Jiri Svoboda, Ernst Gamsjäger, Ernst Kozeschnik & Bernhard Sonderegger. (2011) Modelling of Precipitation Kinetics with Simultanous Stress Relaxation. MRS Proceedings 979.
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