A mechanism-based spatiotemporal non-local constitutive formulation for elastodynamics of composites

Non-locality in elasticity of continua with microstructures has been described via integral formulations or by high-order gradient theories with respect to spatial variables. Although various non-local constitutive relations have been proposed, the origins of spatial and temporal non-localities and their physical mechanisms are still elusive. In this work, we develop an explicit spatiotemporal non-local dynamic constitutive formulation for...