This paper endows the recently-proposed granular element method (GEM) with the ability to perform 3D discrete element calculations. By using non-uniform rational B-Splines to accurately represent complex grain geometries, we proposed an alternative approach to clustering-based and polyhedra-based discrete element methods whereby the need for complicated and ad hoc approaches to construct 3D gra...

Liquid crystal flow model is a coupling between orientation (director field) of liquid crystal molecules and a flow field. The model is also related to a phase field model of multiphase flows and to microfluidics device. It is crucial to preserve the energy laws of the hydrodynamical system in numerical simulation of liquid crystal flows, especially when orientation singularities are involved. ...

In the purpose of making consensus algorithm robust to outliers, on median value has recently attracted some attention. It its applicability in for instance constructing a resilient distributed state estimator. Meanwhile, most existing works consider continuous-time algorithms and uses high-gain discontinuous vector fields. This issues problem need smaller time steps yielding chattering when di...

This paper compares different a posteriori error estimators for nonconforming first-order Crouzeix-Raviart finite element methods for simple second-order partial differential equations. All suggested error estimators yield a guaranteed upper bound of the discrete energy error up to oscillation terms with explicit constants. Novel equilibration techniques and an improved interpolation operator f...

A Simple three-node Discrete Kirchhoff Triangular (SDKT) plate bending element is proposed in this study to overcome some inherent difficulties and provide efficient dependable solutions engineering practice for thin structure analyses. Different from the popular DKT (Discrete Theory) triangular element, using compatible trial function transverse displacement along sides, construction of presen...

distinct target of this paper is development of 'implicit discrete element method (dem)' in three dimensions for estimating the ultimate bearing capacity of shallow foundations on layered (non-homogeneous) soils consisting of sand overlying sand or clay overlying sand and vice versa with different shear resisting parameters. in this method, shear resisting parameters and density of ea...

A three-dimensional multiscale model has been developed and used to analyze the evolutions of microstructural attributes and hydraulic properties inside dilatant shear bands. In the proposed multiscale coupled scheme, we establish links between the discrete element method, which explicitly replicates granular motion of individual particles, and a fi nite element continuum model, which captures ...

This work develops a continuum-based combined finite–discrete element method (FDEM) in the framework of explicit finite conjunction with fracture algorithms. To account for complex fracturing processes, both shear failure and tensile criteria are implemented. Furthermore, to investigate effect different algorithms on accuracy computational efficiency simulations, inter-element intra-element dev...