Modelling transient stresses in dynamically loaded elastic solids using the Lattice Boltzmann Method

In solids subjected to transient loading, inertial effects and S- or P-wave superposition can give rise stresses which significantly exceed those predicted by quasi-static models. It pays accurately predict such – the failures induced them in fields from mining automotive safety biomechanics. This, however, requires costly simulations with fine spatial temporal resolutions. The Lattice Boltzmann Method (LBM) be used as an explicit numerical solver for certain appropriately formulated conservation laws [1]. encodes information about field variables simulated distribution functions, are modified locally propagated across a regular lattice. As LBM lends itself finely discretised is easy parallelise [2, p.55], it intriguing candidate dynamic continuum problems. Recently, Murthy et al. [3] Escande [4] adopted algorithms model isotropic, linear elastic solids. We extended these using local boundary rules that allow us arbitrary-valued Dirichlet Neumann boundaries. Here, we illustrate applications of proposed additions way simple example glass pane subject sudden impact load.