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A discussion on internal length scales and strain localization for rate dependent and gradient-dependent model with second and fourth order |
Received:December 26, 2005 Revised:May 25, 2007 |
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DOI:10.7511/jslx20076147 |
KeyWord:strain localization,internal length scales,stability state,rate and gradient-dependent model |
CHEN Gang PAN Yi-san ZHANG Hong-wu |
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Abstract: |
Based on theoretic study and numerical calculation of second order rate dependent and gradient-dependent model,second and fourth order rate dependent and gradient-dependent model is put forward.Strain localization and stability of material by simple harmonic motion for new mixture model are studied.The laws of internal length scales and conditions of material stability are obtained at one dimension condition for new mixture model.At last,the influence of material stability for rate term and gradient term in the second and fourth order mixture model has been obtained. |