基于四边形网格的边坡上限有限元法

doi:10.13722/j.cnki.jrme.2015.01.012

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Abstract Triangular meshes together with the linearized Mohr-Coulomb criterion are commonly used in the finite element upper bound solution to form a linear programming model. In addition to higher accuracy and solution efficiency，quadrilateral meshes can adjust the velocity field of the element and converge more rapidly to the realistic upper bound solution. To overcome the shortcoming that the linear programming algorithm cannot be implemented directly for quadrilateral meshes，a weak form of compatibility equations was established based on the integration over the whole elements and the linearization of the compatibility equations was obtained for linear programming. With the hyperbolic strength reduction，the final safety factor of slope and the critical field of slipping velocity were obtained quickly. The validity of the method was verified with two examples.

Key words： numerical analysis upper bound limit analysis quadrilateral elements weak form of compatibility equations linear programming algorithm

Received: 18 November 2013

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2015.01.012 OR http://www.rockmech.org/EN/Y2015/V34/I01/114

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