Ov. Gendelman et Li. Manevitch, THE DESCRIPTION OF POLYETHYLENE CRYSTAL AS A CONTINUUM WITH INTERNAL DEGREES OF FREEDOM, International journal of solids and structures, 33(12), 1996, pp. 1781-1798
Polyethylene crystal is described in terms of a continuum with interna
l degrees of freedom. The motion equations are derived from ''first pr
inciples'' i.e. from the molecular potentials of interaction. The asym
ptotic decomposition of appropriate motion equations is provided, the
main asymptotic boundary problems are formulated, the vibration spectr
a and the elastic moduli of the crystal are prescribed.