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

[31] EXACT SOLUTIONS FOR THE POISEUILLE FLOW OF A GENERALIZED MAXWELL FLUID INDUCED BY TIME-DEPENDENT SHEAR STRESS
Akhtar, W.
Fetecau, Corina
Awan, A. U.
ANZIAM JOURNAL, 2010, 51 (04): : 416 - 429
[32] Exact Solutions to the Nonlinear Schrodinger Equation with Time-Dependent Coefficients
Mai, Xin-Lei
Li, Wei
Dong, Shi-Hai
ADVANCES IN HIGH ENERGY PHYSICS, 2021, 2021
[33] Exact solutions of time-dependent Schrodinger equations and geometric phase
Suzko, AA
Velicheva, EP
PHYSICS OF ATOMIC NUCLEI, 1998, 61 (10) : 1773 - 1777
[34] SOLUTIONS OF THE EXACT TIME-DEPENDENT MICRO-BENDING EQUATIONS
GRIGNAN, P
OPTICS COMMUNICATIONS, 1980, 33 (03) : 262 - 264
[35] Exact time-dependent solutions for a self-regulating gene
Ramos, A. F.
Innocentini, G. C. P.
Hornos, J. E. M.
PHYSICAL REVIEW E, 2011, 83 (06)
[36] Exact Time-Dependent Solutions and Information Geometry of a Rocking Ratchet
Kim, Eun-jin
Hollerbach, Rainer
SYMMETRY-BASEL, 2022, 14 (02):
[37] EXACT TIME-DEPENDENT SOLUTIONS OF THE VLASOV-POISSON EQUATIONS
LEWIS, HR
SYMON, KR
PHYSICS OF FLUIDS, 1984, 27 (01) : 192 - 196
[38] Exact time-dependent solutions for a double-well model
Burrows, BL
Cohen, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (46): : 11643 - 11653
[39] Exact solutions of the time-dependent Schrodinger equation for pseudoharmonic potentials
Simsek, M
Yazar, F
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1999, 114 (01): : 87 - 92
[40] Exact and approximate solutions for options with time-dependent stochastic volatility
Goard, Joanna
APPLIED MATHEMATICAL MODELLING, 2014, 38 (11-12) : 2771 - 2780

← 1 2 3 4 5 →