Exact solutions for two dimensional time-dependent flow and deformation within a poroelastic medium

被引：53

作者：

Barry, SI ^{[1
]}

Mercer, GN ^{[1
]}

机构：

[1] Univ New S Wales, Univ Coll, Sch Math & Stat, Canberra, ACT 2600, Australia

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1999年 / 66卷 / 02期

关键词：

D O I：

10.1115/1.2791080

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Exact analytic solutions are derived for the time-dependent deformation of a poroelastic medium within a two-dimensional finite domain. Solutions are given with a specific set of boundary conditions for the case of a source of fluid at an arbitrary point and for an applied pressure on the boundary. These solutions are ideal for testing numerical schemes for poroelastic flow and deformations due to their relative simplicity.

引用

页码：536 / 540

页数：5

共 50 条

[41] Exact and asymptotic solutions to a PDE that arises in time-dependent queues
Knessl, C
ADVANCES IN APPLIED PROBABILITY, 2000, 32 (01) : 256 - 283
[42] EXACT SOLUTIONS FOR TIME-DEPENDENT COMPLEX SYMMETRIC POTENTIAL WELL
Khantoul, Boubakeur
Bounames, Abdelhafid
ACTA POLYTECHNICA, 2023, 63 (02) : 132 - 139
[43] Exact solutions of time-dependent oscillations in multipolar spherical vortices
Viudez, A.
JOURNAL OF FLUID MECHANICS, 2022, 949
[44] EXACT-SOLUTIONS TO A TIME-DEPENDENT VACUUM TRANSPORT PROBLEM
HOFFMAN, N
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1985, 34 (05): : 435 - 445
[45] EXACT TIME-DEPENDENT SOLUTIONS OF THE VLASOV-POISSON EQUATIONS
SYMON, KR
LEWIS, HR
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (08): : 844 - 844
[46] EXACT-SOLUTIONS TO THE TIME-DEPENDENT SCHRODINGER-EQUATION
RAY, JR
PHYSICAL REVIEW A, 1982, 26 (02): : 729 - 733
[47] EXACT TIME-DEPENDENT INVARIANTS FOR N-DIMENSIONAL SYSTEMS
RAY, JR
REID, JL
PHYSICS LETTERS A, 1979, 74 (1-2) : 23 - 25
[48] DEFORMATION OF A DROP IN A GENERAL TIME-DEPENDENT FLUID FLOW
COX, RG
JOURNAL OF FLUID MECHANICS, 1969, 37 : 601 - &
[49] ANALYTIC TIME-DEPENDENT TWO-DIMENSIONAL MAGNETICALLY INSULATED ELECTRON FLOW
MENDEL, CW
SLUTZ, SA
SEIDEL, DB
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (08): : 840 - 840
[50] Two-dimensional oscillator in time-dependent fields: Comparison of some exact and approximate calculations
Chuluunbaatar, O.
Gusev, A. A.
Vinitsky, S. I.
Derbov, V. L.
Galtbayar, A.
Zhanlav, T.
PHYSICAL REVIEW E, 2008, 78 (01):

← 1 2 3 4 5 →