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New Representation of Maxwell Relation

New Representation of Maxwell Relation
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摘要 A new representation of the Maxwell relation for phase transformation is given, which is expressed in simpler form and has more direct physical meaning than the original Maxwell relation. It is shown that the physical conjecture for the so-called "lock-up" condition suggested by Jensen (1999) is correct, but the equation for the "lock-up" condition suggested by Jensen (1999) is not. Numerical examples also demonstrate that the application of the new representation of Maxwell relation gives exactly the same solutions as the ones with application of the original Maxwell relation and, however, application of the "lock-up" condition gives no real solutions. A new representation of the Maxwell relation for phase transformation is given, which is expressed in simpler form and has more direct physical meaning than the original Maxwell relation. It is shown that the physical conjecture for the so-called “lock-up” condition suggested by Jensen (1999) is correct, but the equation for the “lock-up” condition suggested by Jensen (1999) is not. Numerical examples also demonstrate that the application of the new representation of Maxwell relation gives exactly the same solutions as the ones with application of the original Maxwell relation and, however, application of the “lock-up” condition gives no real solutions.
出处 《Transactions of Tianjin University》 EI CAS 2008年第1期7-10,共4页 天津大学学报(英文版)
基金 National Basic Research Program of China ( 973 Program) No.2007CB714001
关键词 Maxwell equations work conjugate phase transformations 麦克斯韦方程 相变 数学物理 功能变化
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参考文献10

  • 1Abeyaratne R,Bhattacharya K,Knoweles J K.Stress- work functions with multiple local minima: Modeling phase transformation using finite thermo-elasticity[].Nonlinea Elasticity: Theory and Applications.2001
  • 2Fu Y B,Freidin A B.Characterization and stability of two-phase piecewise-homogeneous deformations[].Proceedings of the Royal Society of London.2004
  • 3Jensen H M.Analysis of compressive failure of layered materials by kink band broadening[].Solids Struct.1999
  • 4Fleck N A.Compressive failure of fiber composites[].Advances in Applied Mechanics.1997
  • 5Zhang Y T,Ren S G,Ao T.Elastoplastic modeling of materials supporting multiphase deformations[].Journal of Materials Science.2007
  • 6Fu Y B,Zhang Y T.Continuum-mechanical modelling of kink-band formation in fibre-reinforced composites[].Solids Struct.2006
  • 7Freidin A B,Fu Y B,Sharipova L L et al.Spherically symmetric two-phase deformations and phase transi- tion zones[].Solids Struct.2006
  • 8Freidin A B,Chiskis A M.Phase transition zones in nonlinear elastic isotropic materials (Part 2) : Incom- pressible materials with a potential depending on one of deformation invariants[].Izv Ran Mekhanika Tverdogo Tela (Mechanics of Solids).1994
  • 9Freidin A B,Chiskis A M.Phase transition zones in nonlinear elastic isotropic materials (Part 1) : Basic relations[].Izv Ran Mekhanika Tverdogo Tela (Mechanics of Solids).1994
  • 10Abeyaratne R.An admissibility condition for equilib- rium shocks in finite elasticity[].Elasticity.1983

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