Employing Biot’s theory of poroelasticity, three-dimensional vibrations in a poroelastic solid that is subjected to static stresses is investigated. By considering second-order coupling between stress and strain, pertinent governing equations are derived. A frequency equation is obtained in the case of static uniaxial stress or strain. Phase velocity against static uniaxial stress is computed in the case of two poroelastic solids and results are presented graphically.
MottG (1971) Equations of elastic motion of an isotropic medium in the presence of body forces and static stresses. Journal of the Acoustical Society of America50(3): 856–868.
6.
MottG (1973) Elastic waveguide propagation in an infinite isotropic solid cylinder that is subjected to static axial stress and strain. Journal of the Acoustical Society of America53(4): 1129–1133.
7.
NageswaraNCTajuddinMKumarJM (2011) On the parametric model of loose bonding between poroelastic half-spaces. Journal of Vibration and Control18: 1261–1274.
8.
RajithaGSandhyaRBReddy PeratiM (2012) Vibrations in a plane angular sector of poroelastic elliptic cone. Special Topics and Reviews in Porous Media3(2): 157–168.
9.
Reddy PeratiMTajuddinM (2000) Exact analysis of the plane strain vibrations of thick walled hollow poroelastic cylinders. International Journal of Solids & Structures37: 3439–3456.
10.
Reddy PeratiMTajuddinM (2003) Edge waves in poroelastic plate under plane stress conditions. Journal of the Acoustical Society of America114(1): 185–193.
11.
Reddy PeratiMTajuddinM (2010) Axially symmetric vibrations of a poroelastic composite solid cylinder in the context of fretting fatigue. Special Topics and Reviews in Porous Media1(4): 311–320.
12.
ShahSA (2011) Flexural wave propagation in coated poroelastic cylinders with reference to fretting fatigue. Journal of Vibration and Control17(7): 1049–1064.
13.
ShahSATajuddinM (2010) On flexural vibrations of poroelastic circular cylindrical shells immersed in an acoustic medium. Special Topics and Reviews in Porous Media1(1): 67–78.
14.
TajuddinMAhmedSI (1991) Dynamic interactions of a poroelastic layer and a half-space. Journal of the Acoustical Society of America89(3): 1169–1175.
15.
TheodorakopoulosDDBeskosDE (1994) Flexural vibrations of poroelastic plates. Acta Mechanica103: 191–203.
16.
TolstoyI (1973) Wave Propagation, USA: McGraw-Hill International Series in the Earth and Planetary Sciences.
17.
YewCHJogiPN (1976) Study of wave motions in fluid-saturated porous rocks. Journal of the Acoustical Society of America60: 2–8.