17 citations · 41 across the 6 of their papers we have counts for
6 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…
Reexamination of Tolman's law and the Gibbs adsorption equation for curved interfaces
Martin Thomas Horsch, Stefan Becker, Michaela Heier +6
In manuscript arXiv:1703.08719 [cond-mat.soft], it was claimed that the well-known deduction of Tolman's law is not rigorous, since Tolman's argument implies that two different def…