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.

Linear wave motions in continua with nano-pores

GIOVINE, PASQUALE
2012

Abstract

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.
978-953-51-0821-4
Porous Solids; Constitutive Equations; Wave Propagation
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/10938
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