17 citations · 41 across the 5 of their papers we have counts for
5 papers
Extending the Lattice Boltzmann Method to Non-linear Solid Mechanics
Henning Müller, Erik Faust, Alexander Schlüter +1
This work outlines a Lattice Boltzmann Method (LBM) for geometrically and constitutively nonlinear solid mechanics to simulate large deformations under dynamic loading conditions.…
A Lattice Boltzmann Method for Elastic Solids Under Plane Strain Deformation
Alexander Schlüter, Henning Müller, Sikang Yan +2
The Lattice Boltzmann Method (LBM), e.g. in [ 1] and [2 ], can be interpreted as an alternative method for the numerical solution of partial differential equations. Consequently, a…
A Lattice Boltzmann Method for nonlinear solid mechanics in the reference configuration
Erik Faust, Alexander Schlüter, Henning Müller +1
With a sufficiently fine discretisation, the Lattice Boltzmann Method (LBM) mimics a second order Crank-Nicolson scheme for certain types of balance laws (Farag et al. [2021]). Thi…
Dirichlet and Neumann boundary conditions in a Lattice Boltzmann Method for Elastodynamics
Erik Faust, Alexander Schlüter, Henning Müller +1
Recently, Murthy et al. [2017] and Escande et al. [2020] adopted the Lattice Boltzmann Method (LBM) to model the linear elastodynamic behaviour of isotropic solids. The LBM is attr…
Dynamic Propagation of Mode III Cracks in a Lattice Boltzmann Method for Solids
Henning Müller, Ali Touil, Alexander Schlüter +1
This work presents concepts and algorithms for the simulation of dynamic fractures with a Lattice Boltzmann method (LBM) for linear elastic solids. This LBM has been presented prev…