55 citations · 114 across the 12 of their papers we have counts for
5 papers · 1 filter
A Variational Integrator for the Discrete Element Method
David N. De Klerk, Thomas Shire, Zhiwei Gao +3
A novel implicit integration scheme for the Discrete Element Method (DEM) based on the variational integrator approach is presented. The numerical solver provides a fully dynamical…
A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion problems
Mebratu Wakeni, Ankush Aggarwal, Lukasz Kaczmarczyk +4
A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting species. Hierarchical…
Solid shell prism elements based on hierarchical, heterogeneous, and anisotropic shape functions
Lukasz Kaczmarczyk, Hoang Nguyen, Zahur Ullah +2
The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hier…
A Galerkin least-square stabilisation technique for hyperelastic biphasic soft tissue
Julien Vignollet, Chris J. Pearce, Lukasz Kaczmarczyk
An hyperelastic biphasic model is presented. For slow-draining problems (permeability less than 1\times10-2 mm4 N-1 s-1), numerical instabilities in the form of non-physical oscill…
Corotational formulation for 3d solids. An analysis of geometrically nonlinear foam deformation
Łukasz Kaczmarczyk, Tomasz Koziara, Chris J. Pearce
This paper presents theory for the Lagrange co-rotational (CR) formulation of finite elements in the geometrically nonlinear analysis of 3D structures. In this paper strains are as…