A Rigorous Derivation of the Equations for the Clamped Biot-Kirchhoff-Love Poroelastic Plate
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 60551531X | ||
| 003 | CHVBK | ||
| 005 | 20210128100708.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150301xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-014-0805-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0805-2 | ||
| 245 | 0 | 2 | |a A Rigorous Derivation of the Equations for the Clamped Biot-Kirchhoff-Love Poroelastic Plate |h [Elektronische Daten] |c [Anna Marciniak-Czochra, Andro Mikelić] |
| 520 | 3 | |a In this paper we investigate the limit behavior of the solution to quasi-static Biot's equations in thin poroelastic plates as the thickness tends to zero. We choose Terzaghi's time corresponding to the plate thickness and obtain the strong convergence of the three-dimensional solid displacement, fluid pressure and total poroelastic stress to the solution of the new class of plate equations. In the new equations the in-plane stretching is described by the two dimensional Navier's linear elasticity equations, with elastic moduli depending on Gassmann's and Biot's coefficients. The bending equation is coupled with the pressure equation and it contains the bending moment due to the variation in pore pressure across the plate thickness. The pressure equation is parabolic only in the vertical direction. As additional terms it contains the time derivative of the in-plane Laplacian of the vertical deflection of the plate and of the elastic in-plane compression term. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Marciniak-Czochra |D Anna |u Institute of Applied Mathematics, IWR and BIOQUANT, University of Heidelberg, Im Neuenheimer Feld 267, 69120, Heidelberg, Germany |4 aut | |
| 700 | 1 | |a Mikelić |D Andro |u Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43, blvd. du 11 novembre 1918, 69622, Villeurbanne Cedex, France |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/3(2015-03-01), 1035-1062 |x 0003-9527 |q 215:3<1035 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0805-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0805-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Marciniak-Czochra |D Anna |u Institute of Applied Mathematics, IWR and BIOQUANT, University of Heidelberg, Im Neuenheimer Feld 267, 69120, Heidelberg, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Mikelić |D Andro |u Université de Lyon, CNRS UMR 5208, Université Lyon 1, Institut Camille Jordan, 43, blvd. du 11 novembre 1918, 69622, Villeurbanne Cedex, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/3(2015-03-01), 1035-1062 |x 0003-9527 |q 215:3<1035 |1 2015 |2 215 |o 205 | ||