In this work, a new theory of thermoelasticity with voids is discussed by using the
methodology of fractional calculus. The governing equations for particle motion in
a homogeneous anisotropic fractional order thermoelastic medium with voids are presented.
A variational principle, uniqueness theorem and reciprocity theorem are proved. The plane
wave propagation in orthotropic thermoelastic material with fractional order derivative and
voids is studied. For two-dimensional problem there exist quasi-longitudinal (qP) wave,
quasi-transverse (qS) wave, quasi-longitudinal thermal (qT) wave and a quasi-longitudinal
volume fractional (qV) wave. From the obtained results the different characteristics of waves
like phase velocity, attenuation coefficient, specific loss and penetration depth are computed
numerically and presented graphically.
Keywords: anisotropic; orthotropic; thermoelasticity with voids; fractional calculus; uniqueness theorem; variational principle; reciprocity theorem
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