Inspired by gas kinetic theory, the lattice Boltzmann method has emerged as a powerful alternative to conventional CFD methods. Specifically, the lattice Boltzmann method is well-known for its algorithmic simplicity, ease of parallelization and low numerical dissipation [1]. Adopting a more broad interpretation of the lattice Boltzmann method as a general-purpose discretization technique for partial differential equations, we seek to benefit from these advantageous properties in solid mechanics as well. In this spirit, we propose second-order accurate lattice Boltzmann formulations for both the linear elastostatic [2, 3] and elastodynamic [4] problems. In this contribution, we further discuss the formulation of boundary conditions, the stability of the method as well as extensions towards more complex governing equations. References [1] Lallemand, P., Luo, L.-S., Krafczyk, M. and Yong, W.-A. The lattice Boltzmann method for nearly incompressible flows. J. Comp. Phys. (2021) 431:109713. [2] Boolakee, O., Geier, M. and De Lorenzis, L. A new lattice Boltzmann scheme for linear elastic solids: periodic problems. Comp. Meth. Appl. Mech. Eng. (2023) 404:115756. [3] Boolakee, O., Geier, M. and De Lorenzis, L. Dirichlet and Neumann boundary conditions for a lattice Boltzmann scheme for linear elastic solids on arbitrary domains. Comp. Meth. Appl. Mech. Eng. (2023) 415:116225. [4] Boolakee, O., Geier, M. and De Lorenzis, L. Lattice Boltzmann for linear elastodynamics: Periodic problems and Dirichlet boundary conditions. Comp. Meth. Appl. Mech. Eng. (2025) 433:117469.