A Rigorous Derivation of the Equations for the Clamped Biot-Kirchhoff-Love Poroelastic Plate

[1]  Mary F. Wheeler,et al.  Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system , 2012 .

[2]  O. Coussy.  Mechanics and Physics of Porous Solids , 2010 .

[3]  J. L. Ferrín,et al.  Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid , 2003 .

[4]  Robert P. Gilbert,et al.  Homogenizing the acoustic properties of the seabed: part I , 2000 .

[5]  Jean-Louis Auriault,et al.  Poroelastic media , 1996 .

[6]  D. Beskos,et al.  Flexural vibrations of poroelastic plates , 1994 .

[7]  L. Taber.  A Theory for Transverse Deflection of Poroelastic Plates , 1992 .

[8]  G. Nguetseng,et al.  Asymptotic analysis for a stiff variational problem arising in mechanics , 1990 .

[9]  Y. C. Fung,et al.  Foundation of Solid Mechanics , 1966 .

[10]  M. Biot.  Theory of Buckling of a Porous Slab and Its Thermoelastic Analogy , 1964 .

[11]  K. O. Friedrichs,et al.  A boundary-layer theory for elastic plates , 1961 .

[12]  M. Biot.  THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID , 1955 .

[13]  Ary,et al.  On the interface law between a deformable porous medium containing a viscous fluid and an elastic body∗ , 2011 .

[14]  S. Cowin.  Bone poroelasticity. , 1999, Journal of biomechanics.

[15]  Larry A. Taber,et al.  Poroelastic Plate and Shell Theories , 1996 .

[16]  Monique Dauge,et al.  Asymptotics of arbitrary order for a thin elastic clamped plate , 1996 .

[17]  Philippe G. Ciarlet,et al.  Plates And Junctions In Elastic Multi-Structures , 1990 .

[18]  E. S. Palencia.  Non-Homogeneous Media and Vibration Theory , 1980 .

[19]  P. M. Naghdi,et al.  The Theory of Shells and Plates , 1973 .