Spatial Behavior in Thermoelastodynamics with Double Porosity Structure

被引：6

作者：

Florea, Olivia ^{[1
]}

机构：

[1] Brasov Transilvania Univ Brasov, Fac Math & Comp Sci, Bdul Iuliu Maniu Nr 50, Brasov, Romania

来源：

INTERNATIONAL JOURNAL OF APPLIED MECHANICS | 2017年 / 9卷 / 07期

关键词：

Thermoelasticity with double porosity; localization of solutions; LINEAR ELASTIC-MATERIALS; VOIDS;

D O I：

10.1142/S1758825117500971

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the present study, we consider the theory of thermoelastodynamics with double porosity structure. Two situations are studied: for bounded domains, the impossibility of time localization of solutions is obtained, which is equivalent to the uniqueness of solutions for the backward in time problem. For the second study, in the case of semi-infinite cylinders, a Phragmen-Lindelof alternative, as well as an upper bound for the amplitude term when solutions decay, are obtained.

引用

页数：14

共 23 条

[1]

Barenblatt G.E., 1960, J APPL MATH USSR, V24, P12861303, DOI [10.1016/0021-8928(60)90107-6, DOI 10.1016/0021-8928(60)90107-6]

[2]

BARENBLATT GI, 1960, DOKL AKAD NAUK SSSR+, V132, P545

[3] Elastic wave propagation and attenuation in a double-porosity dual-permeability medium [J].

Berryman, JG ;

Wang, HF .

INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2000, 37 (1-2) :63-78

[4] ON THE THEORY OF CONSOLIDATION WITH DOUBLE POROSITY .2. [J].

BESKOS, DE ;

AIFANTIS, EC .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1986, 24 (11) :1697-1716

[5]

Biot M. A., 1941, J APPL PHYS, V12

[6] Bone poroelasticity [J].

Cowin, SC .

JOURNAL OF BIOMECHANICS, 1999, 32 (03) :217-238

[7] THE VISCOELASTIC BEHAVIOR OF LINEAR ELASTIC-MATERIALS WITH VOIDS [J].

COWIN, SC .

JOURNAL OF ELASTICITY, 1985, 15 (02) :185-191

[8]

COWIN SC, 1983, J ELASTICITY, V13, P125, DOI 10.1007/BF00041230

[9] DECAY-ESTIMATES FOR THE CONSTRAINED ELASTIC CYLINDER OF VARIABLE CROSS-SECTION [J].

FLAVIN, JN ;

KNOPS, RJ ;

PAYNE, LE .

QUARTERLY OF APPLIED MATHEMATICS, 1989, 47 (02) :325-350

[10]

GOODMAN MA, 1972, ARCH RATION MECH AN, V44, P249

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