ON THE QUASI-STATIC BOUNDARY VALUE PROBLEMS IN THE THEORY OF SWELLING POROUS ELASTIC SOILS

被引：0

作者：

Gales, C. ^{[1
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES | 2006年 / 2卷 / 02期

基金：

中国国家自然科学基金;

关键词：

mixture; incompressible fluid; uniqueness; continuous dependence; spatial behavior;

D O I：

10.1163/157361106776240798

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Quasi-static boundary value problems are formulated for the isothermal linear theory of swelling porous elastic soils in the case that the fluid is incompressible. First, some general theorems (uniqueness, reciprocal and continuous dependence) are established in the general case. Then, in the case that solid matrix is saturated with fluid and occupies a semi-infinite cylinder of smooth cross section, a time-weighted cross-sectional area measure is used in order to establish spatial decay estimates for the quasi-static solutions.

引用

页码：227 / 246

页数：20

共 50 条

[21] On the asymptotic partition of energy in the theory of swelling porous elastic soils
Gales, C
[J]. ARCHIVES OF MECHANICS, 2003, 55 (01): : 91 - 107
[22] POTENTIAL-THEORY FOR QUASI-STATIC PROBLEMS OF UNCOUPLED THERMOELASTICITY
MAKSUDOV, FG
MAMEDOV, JM
[J]. JOURNAL OF THERMAL STRESSES, 1990, 13 (03) : 225 - 235
[23] Existence of solutions to a class of quasi-static problems in viscoplasticity theory
Alber, HD
[J]. OPTIMAL CONTROL AND PARTIAL DIFFERENTIAL EQUATIONS: IN HONOR OF PROFESSOR ALAIN BENSOUSSAN'S 60TH BIRTHDAY, 2001, : 95 - 104
[24] Explicit solutions of quasi-static problems in the coupled theory of poroelasticity
Lamara Bitsadze
[J]. Continuum Mechanics and Thermodynamics, 2021, 33 : 2481 - 2492
[25] Explicit solutions of quasi-static problems in the coupled theory of poroelasticity
Bitsadze, Lamara
[J]. CONTINUUM MECHANICS AND THERMODYNAMICS, 2021, 33 (06) : 2481 - 2492
[26] ON THE QUASI-STATIC THEORY OF VISCOELASTICITY
REISS, EL
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1961, 7 (05) : 402 - 411
[27] A theory of the quasi-static world
Sanders, BCS
Nelson, RC
Sukthankar, R
[J]. 16TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL III, PROCEEDINGS, 2002, : 1 - 6
[28] On the plane stress boundary value problem of quasi-static linear thermoelasticity
Zhao Y.
Lin W.
[J]. Acta Mathematicae Applicatae Sinica, 1997, 13 (4) : 385 - 394
[29] On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics
Knops, R. J.
Quintanilla, R.
[J]. JOURNAL OF ENGINEERING MATHEMATICS, 2021, 126 (01)
[30] ON THE PLANE STRESS BOUNDARY VALUE PROBLEM OF QUASI-STATIC LINEAR THERMOELASTICITY
赵育求
林伟
[J]. Acta Mathematicae Applicatae Sinica, 1997, (04) : 385 - 394

← 1 2 3 4 5 →