Vector-based discrete element method for solid elastic materials

Back-calculation of mechanical parameters of shell and balls materials from discrete element method simulations

Discrete Element Method (DEM) is extensively used for mathematical modeling and simulating the behavior of discrete discs and discrete spheres in two and three dimensional space, respectively. Prediction of particles flow regime, power draw and kinetic energy for a laboratory or an industrial mill is possible by DEM simulation. In this article, a new approach was used to assess the main paramet...

Discrete Time Elastic Vector Spaces

This paper proposes a framework dedicated to the construction of what we call time elastic inner products allowing one to embed sets of non-uniformly sampled multivariate time series of varying lengths into vector space structures. This framework is based on a recursive definition that covers the case of multiple embedded time elastic dimensions. We prove that such inner products exist in our f...

Application of the discrete element method to model cohesive materials

One way to include fracture and fragmentation when analyzing loaded mechanical systems is based on the DEM, [2], [3]. In recent years this approach was adopted in geomechanics and civil engineering to model fracture in elastic-brittle materials, e.g. [1] and [5]. Using this approach, the material is considered as being fully discontinuous and made up by assembling and bonding adjacent discrete ...

The ghost solid method for the elastic solid-solid interface

Article history: Received 19 December 2012 Received in revised form 11 September 2013 Accepted 21 September 2013 Available online 8 October 2013

Phase transitions of elastic solid materials