In the present investigation, the thermo-mechanical balance equations for a solid with nano-pores, viewed as a continuum with ellipsoidal microstructure, and the related conditions at a surface of discontinuity are stated. The appropriated constitutive relations for the linear theory are formulated. Then, the behavior of micro-vibrations, plane harmonic waves and macro-acceleration waves are analyzed: in the first case, three admissible modes are obtained; in the second instance, the dispersion relations gotten from the theory are solved by eight basic solutions; in the last one, all the velocities of propagation and the amplitudes of the discontinuity for either a heat-conducting or non-conducting material (corresponding, respectively, to isothermal and isentropic waves), as well as for generalized transverse waves are given. Furthermore, the growth equations which govern the propagation of the macro-acceleration waves and the couplings between the discontinuities are discussed.
Titolo: | Linear wave motions in continua with nano-pores |
Autori: | |
Data di pubblicazione: | 2012 |
Handle: | http://hdl.handle.net/20.500.12318/10938 |
ISBN: | 978-953-51-0821-4 |
Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |