General Solving Method of Energy Dissipation Rate of Deforming Region in Upper-Bound Analysis for Coulomb Material

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Abstract:

At present the energy dissipation rate per unit volume of deforming region is expressed with the function of principal strain rates in upper-bound analysis for Coulomb material and this restricts the application of deforming failure mechanisms in upper-bound method. In this paper, a general method of expressing the energy dissipation rate of deforming region with bulk strain rate was put forward and the conditions that the assumed velocity field of deforming region should meet were pointed out. The general method simplifies the solving process of the energy dissipation rate. Finally, the method was employed to calculate the energy dissipation rate of the logspiral shear zone and was proved practical.

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Key Engineering Materials (Volumes 306-308)

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1439-1444

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March 2006

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] Z.Y. Chen, X. G. Wang, C. Haberfield, J. H. Yin and Y. J. Wang: A three-dimensional slope stability analysis method using the upper bound theorem -Part Ⅰ : theory and methods. International Journal of Rock Mechanics and Mining Sciences, Vol. 38 (2001).

DOI: 10.1016/s1365-1609(01)00012-0

Google Scholar

[2] Z. Y. Chen, J. Wang, Y. J. Wang, J. H. Yin and C. Haberfield: A three-dimensional slope stability analysis method using the upper bound theorem -Part Ⅱ : numerical approaches, applications and extensions. International Journal of Rock Mechanics and Mining Sciences, Vol. 38 (2001).

DOI: 10.1016/s1365-1609(01)00013-2

Google Scholar

[3] J. D. Murff and J. M. Hamilton: P-ultimate for undrained analysis of laterally loaded piles. J. Geotech. Engrg., Vol. 119, No. 1(1993), p.91~107.

DOI: 10.1061/(asce)0733-9410(1993)119:1(91)

Google Scholar

[4] W. F. Chen: Limit analysis and soil plasticity (Elsevier Publishing Co., Netherlands 1975).

Google Scholar