Bale, D. S., LeVeque, R. J., Mitran, S., and Rossmanith, J. A. 2003. A wave propagation method for conservation laws and balance laws with spatially varying flux functions. SIAM J. Sci. Comp., 24, 955–978.
doi:10.1137/S106482750139738X
Berezovski, A. and Maugin, G. A. 2004. On the thermodynamic conditions at moving phase-transition fronts in thermoelastic solids. J. Non-Equilib. Thermodyn., 29, 37–51.
Berezovski, A., Engelbrecht, J., and Maugin, G. A. 2008. Numerical Simulation of Waves and Fronts in Inhomogeneous Solids. World Scientific, Singapore.
doi:10.1142/9789812832689
Engelbrecht, J. and Pastrone, F. 2003. Waves in microstructured solids with nonlinearities in microscale. Proc. Estonian Acad. Sci. Phys. Math., 52, 12–20.
Engelbrecht, J., Cermelli, P., and Pastrone, F. 1999. Wave hierarchy in microstructured solids. In Geometry, Continua and Microstructure (Maugin, G. A., ed.), pp. 99–111. Hermann Publ., Paris.
Engelbrecht, J., Berezovski, A., Pastrone, F., and Braun, M. 2005. Waves in microstructured materials and dispersion. Phil. Mag., 85, 4127–4141.
doi:10.1080/14786430500362769
Fish, J., Chen, W., and Nagai, G. 2002. Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case. Int. J. Numer. Methods Eng., 54, 331–346.
doi:10.1002/nme.423
Hoffmann, K. H., Burzler, J. M., and Schubert, S. 1997. Endoreversible thermodynamics. J. Non-Equil. Thermodyn., 22, 311–355.
Langseth, J. O. and LeVeque, R. J. 2000. A wave propagation method for three-dimensional hyperbolic conservation laws. J. Comp. Physics, 165, 126–166.
doi:10.1006/jcph.2000.6606
LeVeque, R. J. 1997. Wave propagation algorithms for multidimensional hyperbolic systems. J. Comp. Physics, 131, 327–353.
doi:10.1006/jcph.1996.5603
LeVeque, R. J. 2002. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press.
Maugin, G. A. 1995. On some generalizations of Boussinesq and KdV systems. Proc. Estonian Acad. Sci. Phys. Math., 44, 40–55.
Maugin, G. A. 1999. Nonlinear Waves in Elastic Crystals. Oxford University Press.
Metrikine, A. V. 2006. On causality of the gradient elasticity models. J. Sound Vibr., 297, 727–742.
doi:10.1016/j.jsv.2006.04.017
Muschik, W. and Berezovski, A. 2004. Thermodynamic interaction between two discrete systems in non-equilibrium. J. Non-Equilib. Thermodyn., 29, 237–255.
Santosa, F. and Symes, W. W. 1991. A dispersive effective medium for wave propagation in periodic composites. SIAM J. Appl. Math., 51, 984–1005.
doi:10.1137/0151049
Ván, P., Berezovski, A., and Engelbrecht, J. 2008. Internal variables and dynamic degrees of freedom. J. Non-Equilib. Thermodyn., 33, 235–254.
Wang, Z.-P. and Sun, C. T. 2002. Modeling micro-inertia in heterogeneous materials under dynamic loading. Wave Motion, 36, 473–485.doi:10.1016/S0165-2125(02)00037-9