The Two Dimensions Analysis of Localzation Bandwidth in Material Distortion

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Abstract:

The paper studies strain localization and stability of material by simple harmonic motion by using rate dependent and gradient-dependent models. The laws of Internal Length Scales and stability of material are obtained at two-dimensionals condition for two mixture models. The conditions of wavelengh’s lower limit and stability of material are confirmed. Thus, a formula of strain localization band width about material at the condition of one and two dimensions is obtained.

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Periodical:

Advanced Materials Research (Volumes 476-478)

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2556-2560

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February 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] De Borst R. and Muhlhaus H.B. (1992) Gradient-dependent plasticity:Formulation and algorithmic aspects[J],Int.J.Num.Meth.Engng.,35,521-539.

DOI: 10.1002/nme.1620350307

Google Scholar

[2] De Borst R.,Wang W.M. Geers M.G.D.and Sluys L.J. (1997) Material instabilities and internal length scales[M].D.R.J. Qwen,E.Onate and E.Hinton (Eds) CIMNE,Barcelona.

Google Scholar

[3] ZhangHongwu,A Discussion on some relationships between two different material models related with strain localization analysis,Aata Mechanica Sinica,2003,35(1):80~84(in chinese))

Google Scholar

[4] Schrefler B.A. Zhang H.W. Sanavia L. (1999) Fluid-structure interaction in the localization of saturated porous media. Beitrage zue Mechanik,Z.Angew[J].Math.Mech., 79,481-484.

DOI: 10.1002/(sici)1521-4001(199907)79:7<481::aid-zamm481>3.0.co;2-b

Google Scholar

[5] Sluys L.J.,De Borst R.&Muhlhaus H.B. (1993) Wave propagation,localization and dispersion in a gradient-dependent medium[J].Int.J.Solids and Structures,30,1153-1171.

DOI: 10.1016/0020-7683(93)90010-5

Google Scholar

[6] Muhlhas H B, Vardolakis I. The thickness of shear bands in granular materials[J], Geotechnique, 1987, 37(3): 271~283

Google Scholar