# American Institute of Mathematical Sciences

September  2014, 19(7): 2027-2038. doi: 10.3934/dcdsb.2014.19.2027

## Spatial behavior in the vibrating thermoviscoelastic porous materials

 1 Department of Mathematics, Al. I. Cuza University, 700506, Iaşi, Romania

Received  April 2013 Revised  July 2013 Published  August 2014

In this paper we study the spatial behavior of the amplitude of the steady-state vibrations in a thermoviscoelastic porous beam. Here we take into account the effects of the viscoelastic and thermal dissipation energies upon the corresponding harmonic vibrations in a right cylinder made of a thermoviscoelastic porous isotropic material. In fact, we prove that the positiveness of the viscoelastic and thermal dissipation energies are sufficient for characterizing the spatial decay and growth properties of the harmonic vibrations in a cylinder.
Citation: Stan Chiriţă. Spatial behavior in the vibrating thermoviscoelastic porous materials. Discrete & Continuous Dynamical Systems - B, 2014, 19 (7) : 2027-2038. doi: 10.3934/dcdsb.2014.19.2027
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