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The dynamic behaviour in the vicinity of the interface for the strained superlattice is discussed in the classical mechanics frame based on the Seeger equation. We found that the motion and the accumulation of the dislocations by the non-linear resonance may give rise to the lamination or the fracture of the superlattice. At first, byintroducing the damping term,the Seeger equation describing the dislocation motion is reduced to the generalized Duffing equation describing superlattice in the small amplitude aproximation. Secondly,the main resonance, the super-harmonic resonance and the sub-harmonic resonance of the system are analysed by the multiscale method. The critical condition for the system to enter into resonance is found. It shows that the critical condition is related to the parameters of the system,by adeguately regulating the parameters of the system,the resonance can be avoided in principle,then the stability and the perfection of the superlattice materials may be bellev ensured.
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Keywords:
- dislocation dynamics /
- strained superlattice /
- resonance /
- bifurcation
[1] Korol A V,Solovyov A V,Greiner W 2008 Nucl. Inst. and Methods in Physics Research B266 1173
[2] Kubankin A S,Nasonov N N. 2008 Journal of surface investigation2 317
[3] Tabrizi M. Korol A V. Solovyov A V 2007 Phys. Rev. Lett. 98 164801
[4] Korol A V,Solovyov A V,Greiner W 2004 Int. J. Mod. Phys. E 13 867
[5] Korol A V, Andrey V,Solovyov A V, Greiner W 2000 Int. J. Mod. Phys. E 9 77
[6] Luo S Y,Shao M Z 2005 High Energy Physics and Nuclear Physics 29 193 (in Chinese) [罗诗裕、 邵明珠 2005 高能物理与核物理 29 193]
[7] Luo S Y,Shao M Z 2009 Chin. Laser 36 378 (in Chinese) [罗诗裕、 邵明珠 2009 中国激光 36 1378]
[8] Luo S Y,Shao M Z 2003 Chin. Semi. 24 485 (in Chinese) [罗诗裕、 邵明珠 2003 半导体学报 24 485]
[9] Luo S Y,Shao M Z 2006 Acta Phys. Sin. 55 1336 (in Chinese) [罗诗裕、 邵明珠 2006 55 1324]
[10] Shao M Z,Luo S Y 2005 Acta Phys. Sin. 54 4092 (in Chinese) [邵明珠、 罗诗裕 2005 54 4092]
[11] Shao M Z,Luo S Y 2007 Acta Phys. Sin. 56 3407 (in Chinese) [邵明珠、 罗诗裕 2007 56 3407]
[12] Luo S Y,Shao M Z 2004 Acta Phys. Sin. 53 1157 (in Chinese) [罗诗裕、 邵明珠 2004 53 1157]
[13] Luo S Y,Shao M Z 2004 Acta Phys. Sin. 53 1940 (in Chinese) [罗诗裕、 邵明珠、 韦洛霞 2004 53 1940]
[14] Deng C L,Shao M Z,Luo S Y 2006 Acta Phys. Sin. 55 2422 (in Chinese) [邓成良、邵明珠、罗诗裕 2006 55 2422]
[15] Seeger A 1956 Philos. Mag. 1 651
[16] Nayfeh A H 1981 Introduction to Pertuurbation Techniques (New York,John Wiley and Sons)
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[1] Korol A V,Solovyov A V,Greiner W 2008 Nucl. Inst. and Methods in Physics Research B266 1173
[2] Kubankin A S,Nasonov N N. 2008 Journal of surface investigation2 317
[3] Tabrizi M. Korol A V. Solovyov A V 2007 Phys. Rev. Lett. 98 164801
[4] Korol A V,Solovyov A V,Greiner W 2004 Int. J. Mod. Phys. E 13 867
[5] Korol A V, Andrey V,Solovyov A V, Greiner W 2000 Int. J. Mod. Phys. E 9 77
[6] Luo S Y,Shao M Z 2005 High Energy Physics and Nuclear Physics 29 193 (in Chinese) [罗诗裕、 邵明珠 2005 高能物理与核物理 29 193]
[7] Luo S Y,Shao M Z 2009 Chin. Laser 36 378 (in Chinese) [罗诗裕、 邵明珠 2009 中国激光 36 1378]
[8] Luo S Y,Shao M Z 2003 Chin. Semi. 24 485 (in Chinese) [罗诗裕、 邵明珠 2003 半导体学报 24 485]
[9] Luo S Y,Shao M Z 2006 Acta Phys. Sin. 55 1336 (in Chinese) [罗诗裕、 邵明珠 2006 55 1324]
[10] Shao M Z,Luo S Y 2005 Acta Phys. Sin. 54 4092 (in Chinese) [邵明珠、 罗诗裕 2005 54 4092]
[11] Shao M Z,Luo S Y 2007 Acta Phys. Sin. 56 3407 (in Chinese) [邵明珠、 罗诗裕 2007 56 3407]
[12] Luo S Y,Shao M Z 2004 Acta Phys. Sin. 53 1157 (in Chinese) [罗诗裕、 邵明珠 2004 53 1157]
[13] Luo S Y,Shao M Z 2004 Acta Phys. Sin. 53 1940 (in Chinese) [罗诗裕、 邵明珠、 韦洛霞 2004 53 1940]
[14] Deng C L,Shao M Z,Luo S Y 2006 Acta Phys. Sin. 55 2422 (in Chinese) [邓成良、邵明珠、罗诗裕 2006 55 2422]
[15] Seeger A 1956 Philos. Mag. 1 651
[16] Nayfeh A H 1981 Introduction to Pertuurbation Techniques (New York,John Wiley and Sons)
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