Abstract: A dynamical differential model for the arterial wall under pulse pressure is established based on a fiber-reinforced two-layer composite heterogeneous hyper-elastic tube within the finite deformation theories of continuum mechanics. Effects of the residual stress, smooth muscle activity and fiber dispersion are discussed. Time-history curves, frequency spectra, phase diagrams, Poincare maps and stress distribution curves are obtained through numerical computation. Dynamical response of the arterial wall taking into account the effects of the value and frequency of the pressure are discussed based on the nonlinear dynamical theory.

Key words:  continuum mechanics, fiber dispersion, nonlinear dynamical theory, residual stress, smooth muscle