On the Mindlin microelasticity in one dimension

Mindlin's microelasticity theory is reduced to the one-dimensional setting to examine its prediction of the response of microstructured materials on a pulse loading. The one-dimensional setting requires a minimal number of additional material parameters. Since analytical solutions may be found only in highly simplified asymptotic cases, numerical simulations are performed by means of a finite-volume numerical scheme modifying the wave-propagation algorithm. The calculated response of a material described by the Mindlin microelasticity is compared then with the corresponding response of an “equivalent” periodic laminate.