A novel DEM approach for modeling brittle elastic media based on distinct lattice spring model, Computer Methods in Applied Mechanics and Engineering, vol.350, pp.100-122, 2019. ,
Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter, Computer Methods in Applied Mechanics and Engineering, vol.265, pp.136-147, 2013. ,
Numerical tours of computational mechanics with FEniCS, 2018. ,
Power coordinates: a geometric construction of barycentric coordinates on convex polytopes, ACM Transactions on Graphics (TOG), vol.35, issue.6, p.241, 2016. ,
Numerical analysis of the primal problem of elastoplasticity with hardening, Numerische Mathematik, vol.82, issue.4, pp.577-597, 1999. ,
Accurate modelling of the elastic behavior of a continuum with the discrete element method, Comput. Mech, vol.60, issue.6, pp.997-1010, 2017. ,
A discrete numerical model for granular assemblies, vol.29, pp.47-65, 1979. ,
Cell centered Galerkin methods for diffusive problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, pp.111-144, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00511125
The gradient discretisation method, vol.82, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01382358
A finite volume scheme for anisotropic diffusion problems, Comptes Rendus Mathématique, vol.339, issue.4, pp.299-302, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00003328
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA Journal of Numerical Analysis, vol.30, issue.4, pp.1009-1043, 2009. ,
Error analysis of the reproducing kernel particle method, Comput. Methods Appl. Mech. Engrg, vol.190, pp.6157-6181, 2001. ,
, Plasticity: mathematical theory and numerical analysis, 2012.
Two-dimensional computer studies of crystal stability and fluid viscosity, The Journal of Chemical Physics, vol.60, issue.10, pp.4043-4047, 1974. ,
Discrete element method to model 3D continuous materials, 2015. ,
High-density sphere packing for discrete element method simulations, Comm. Numer. Methods Engrg, vol.25, issue.7, pp.837-849, 2009. ,
An explicit pseudo-energy conserving time-integration scheme for hamiltonian dynamics, Comput. Methods Appl. Mech. Engrg, vol.347, pp.906-927, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01661608
An energy-preserving Discrete Element Method for elastodynamics, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, pp.1527-1553, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00403919
Combining the modified discrete element method with the virtual element method for fracturing of porous media, Comput. Geosci, vol.21, pp.1059-1073, 2017. ,
Consistent tangent operators for rate-independent elastoplasticity, Computer methods in applied mechanics and engineering, vol.48, issue.1, pp.101-118, 1985. ,
On the elastic plastic initial-boundary value problem and its numerical integration, International Journal for Numerical Methods in Engineering, vol.11, issue.5, pp.817-832, 1977. ,
GPU accelerated discrete element method (DEM) molecular dynamics for conservative, faceted particle simulations, J. Comput. Phys, vol.334, pp.460-467, 2017. ,