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《Journal of Hydraulic Engineering》 2001-06

## Discussion on velocity solution of slip line theory for geotechnical materials ——the application of generalized plastic theory

ZHENG Ying\|ren 1, WANG Jing\|lin 1, ZHU Xiao\|kang 1 (1 Logistic Engineering Unviersity, Chongqing\ 400041, China)
The slip line theory based on the associated flow rule for traditional plastic theory is not accord with the experiment for geotechnical material and the stress characteristic line is not coincide with the velocity line. It is proved that the plastic potential surface intersects the M\|C yield surface with an angle, so that the velocity line must be studied by non\|associated flow rule. In this paper, the generalized plastic mechanics is briefly introduced and the generalized plastic potential formula with three plastic potential functions is given. The yield surfaces are related to the plastic potential surfaces, but it does not means that they are always the same. The velocity slip line equations based on the generalized plastic mechanics(non\|associated flow rule) are derived, which are independent of the M\|C yield condition. Whereas, the stress characteristic line equation is always related to the M\|C yield condition. The angle between the velocity line and the stress characteristic line is φ/2 at every point of intersection. The Prandtl solution of the flat\|roofed obtuse wedge is used as an example for illustration.
【Fund】： 国家自然科学基金资助项目! (196 72 0 73)
【CateGory Index】： TU457
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