Chen, Y., Lee, J.D. and Eskandarian, A. (2002) “Finding Material Constants in Micromorphic Theory through Phonon Dispersion Relations”, Proceedings of International Conference of Computational Engineering and Science, July 29 –Aug. 2, Reno, Nevada.

Abstract: Phonon dispersion relations describe the dynamics of atoms in crystal, and provide a means to determine interatomic force constants. The analogy of atomic force is the constitutive relations in a continuum theory. This paper aims to determine the material constants in micromorphic elasticity based on the phonon dispersion relations from atomistic calculations or experimental measurements. The constitutive relations for isotropic elastic micromorphic solid are presented, and the phonon dispersion relations are derived. The numerical algorithm to determine the material constants is introduced. The material constants for single crystal silicon are obtained and presented.