A New dynamic model for study of dislocation pattern formation
Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1996 |
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| Umfang: |
13 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Acta mechanica Sinica - 1985, 12(1996) vom: März, Seite 200-212 |
| Übergeordnetes Werk: |
volume:12 ; year:1996 ; month:03 ; pages:200-212 ; extent:13 |
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NLEJ206672772 |
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| 520 | |a Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. | ||
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| 700 | 1 | |a Wenbiao, Wang |4 oth | |
| 700 | 1 | |a Qingrong, Zheng |4 oth | |
| 700 | 1 | |a Guojun, Huang |4 oth | |
| 700 | 1 | |a Diwen, Chen |4 oth | |
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(DE-627)NLEJ206672772 DE-627 ger DE-627 rakwb eng A New dynamic model for study of dislocation pattern formation 1996 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. Springer Online Journal Archives 1860-2002 Zhuping, Duan oth Wenbiao, Wang oth Qingrong, Zheng oth Guojun, Huang oth Diwen, Chen oth in Acta mechanica Sinica 1985 12(1996) vom: März, Seite 200-212 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:12 year:1996 month:03 pages:200-212 extent:13 http://dx.doi.org/10.1007/BF02486807 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 12 1996 3 200-212 13 |
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(DE-627)NLEJ206672772 DE-627 ger DE-627 rakwb eng A New dynamic model for study of dislocation pattern formation 1996 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. Springer Online Journal Archives 1860-2002 Zhuping, Duan oth Wenbiao, Wang oth Qingrong, Zheng oth Guojun, Huang oth Diwen, Chen oth in Acta mechanica Sinica 1985 12(1996) vom: März, Seite 200-212 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:12 year:1996 month:03 pages:200-212 extent:13 http://dx.doi.org/10.1007/BF02486807 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 12 1996 3 200-212 13 |
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(DE-627)NLEJ206672772 DE-627 ger DE-627 rakwb eng A New dynamic model for study of dislocation pattern formation 1996 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. Springer Online Journal Archives 1860-2002 Zhuping, Duan oth Wenbiao, Wang oth Qingrong, Zheng oth Guojun, Huang oth Diwen, Chen oth in Acta mechanica Sinica 1985 12(1996) vom: März, Seite 200-212 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:12 year:1996 month:03 pages:200-212 extent:13 http://dx.doi.org/10.1007/BF02486807 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 12 1996 3 200-212 13 |
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(DE-627)NLEJ206672772 DE-627 ger DE-627 rakwb eng A New dynamic model for study of dislocation pattern formation 1996 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. Springer Online Journal Archives 1860-2002 Zhuping, Duan oth Wenbiao, Wang oth Qingrong, Zheng oth Guojun, Huang oth Diwen, Chen oth in Acta mechanica Sinica 1985 12(1996) vom: März, Seite 200-212 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:12 year:1996 month:03 pages:200-212 extent:13 http://dx.doi.org/10.1007/BF02486807 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 12 1996 3 200-212 13 |
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(DE-627)NLEJ206672772 DE-627 ger DE-627 rakwb eng A New dynamic model for study of dislocation pattern formation 1996 13 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. Springer Online Journal Archives 1860-2002 Zhuping, Duan oth Wenbiao, Wang oth Qingrong, Zheng oth Guojun, Huang oth Diwen, Chen oth in Acta mechanica Sinica 1985 12(1996) vom: März, Seite 200-212 (DE-627)NLEJ188983449 (DE-600)2181030-8 1614-3116 nnns volume:12 year:1996 month:03 pages:200-212 extent:13 http://dx.doi.org/10.1007/BF02486807 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 12 1996 3 200-212 13 |
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A New dynamic model for study of dislocation pattern formation |
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Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. |
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Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. |
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Abstract Based on the principle given in nonlinear diffusion-reaction dynamics, a new dynamic model for dislocation patterning is proposed by introducing a relaxation time to the relation between dislocation density and dislocation flux. The so-called chemical potential like quantities, which appear in the model can be derived from variation principle for free energy functional of dislocated media, where the free energy density function is expessed in terms of not only the dislocation density itself but also their spatial gradients. The linear stability analysis on the governing equations of a simple dislocation density shows that there exists an intrinsic wave number leading to bifurcation of space structure of dislocation density. At the same time, the numerical results also demonstrate the coexistence and transition between different dislocation patterns. |
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