FENG Chun, LI Shi-hai, LIU Xiao-yu. A procedure for transiting FEM into DEM and its application[J]. 2015, 36(4): 1027-1034.DOI: 10.16285/j.rsm.2015.04.017.
To take the advantages of both the FEM and the particle DEM methods
a procedure is proposed to transit the FEM into the DEM. In this procedure
the domain of concern is first discretized into a certain number of coarse FEM elements
and the behavior of each element is characterized by using a continuum constitutive model. During simulation
the stress state of each element is tracked for each time step. Once if the stress state of an element satisfies either the Mohr-Coulomb criteria or the maximum tensile stress criteria
the element is deleted and immediately replaced by a cluster of particles
which are randomly distributed and slightly interpenetrated. As such
the response of the deleted element is fully described by this cluster of particles. The particle properties of the cluster
including mass
material properties
velocity
displacement and contact force
are all inherited from the deleted element by using an interpolation method. To realize the simulation coupling FEM and particle DEM
the point-edge (2D) and point-face (3D) contact models are introduced
and the contact forces are calculated using normal and tangent numerical springs. Numerical examples such as the impact of a particle ball onto a slab
the uniaxial compression and rock cutting
are provided to illustrate the capability of the proposed method.