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块体间的相互碰撞、滑移均涉及到摩擦力的问题,但原有的三维有限元/离散元(FEM/DEM)并未考虑摩擦力的作用,为解决这一问题,首先论述三维FEM/DEM中基于势的接触力,指出势是对嵌入及接触所存储能量的表征,势越大表示嵌入量越大,接触所存储的能量越大。然后,在原有三维FEM/DEM中加入经典的库仑摩擦,使得原有三维FEM/DEM可以考虑摩擦力。最后,通过有解析解的斜面滑块算例和拱桥垮塌算例验证实施库仑摩擦的正确性,结果表明斜面滑块算例的数值解与解析解很好地吻合;而拱桥垮塌算例表明FEM/DEM可以解决复杂的工程问题。
However, the original three-dimensional finite element / discrete element (FEM / DEM) does not consider the role of friction. To solve this problem, the three-dimensional FEM Based on the potential contact force in DEM / DEM, it is pointed out that potential is the characterization of energy stored in contact and inlay. The larger the potential, the larger the amount of indention and the greater the energy stored in contact. Then, the classical Coulomb friction is added to the original three-dimensional FEM / DEM so that the original three-dimensional FEM / DEM can consider the friction. Finally, the correctness of Coulomb friction is verified by an example of sloped slider and an example of collapse of arch bridge. The numerical results show that the numerical solution and the analytical solution of the sloped slider agree well with each other. However, / DEM can solve complex engineering problems.