The Analysis of a Griffith Crack Embedded in a Thermo-poro-elastic Medium

被引：0

作者：

Tan, Yu ^{[1
]}

Wang, Yi-en ^{[2
]}

Liu, Chang ^{[3
]}

机构：

[1] Chengdu Univ Technol, Coll Environm & Civil Engn, Chengdu 610059, Peoples R China

[2] Xihua Univ, Sch Architecture & Civil Engn, Chengdu 610039, Peoples R China

[3] Southwest Jiaotong Univ, Sch Mech & Aerosp Engn, Chengdu 610031, Peoples R China

来源：

ACTA MECHANICA SOLIDA SINICA | 2023年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Thermo-poro-elastic medium; Analytical solution; Griffith crack; Stress intensity factor; CIRCULAR CRACK; SCATTERING; WAVES; MODEL; PROPAGATION;

D O I：

10.1007/s10338-023-00400-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The analytical solution of a thermo-poro-elastic medium in static state weakened by a Griffith crack with finite width is presented. By virtue of the Fourier cosine and sine integral transform techniques, the mixed boundary-value problem is formulated as three pairs of dual integral equations, which are solved with the help of the Abel transform. In addition, the stress intensity factor of mode I and the crack surface displacement are presented analytically. Numerical examples are performed to show the distribution of displacement and stress over the thermo-poro-elastic medium. The results indicate that the thermal load will increase or decrease the crack surface displacement, but has a weak influence on the stress intensity factor. The present work may benefit future engineering applications.

引用

页码：734 / 744

页数：11

共 30 条

[1] General theory of three-dimensional consolidation
Biot, MA
[J]. JOURNAL OF APPLIED PHYSICS, 1941, 12 (02) : 155 - 164
[2] THEORY OF PROPAGATION OF ELASTIC WAVES IN A FLUID-SATURATED POROUS SOLID .2. HIGHER FREQUENCY RANGE
BIOT, MA
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1956, 28 (02) : 179 - 191
[3] MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA
BIOT, MA
[J]. JOURNAL OF APPLIED PHYSICS, 1962, 33 (04) : 1482 - +
[4] Coussy O., 2004, Poromechanics
[5] Davies B., 2012, Integral Transforms and their Applications, V41
[6] Duffy DG., 2008, Mixed Boundary Value Problems, DOI [10.1201/9781420010947, DOI 10.1201/9781420010947]
[7] Fabrikant V., 1991, Mixed boundary value problems of potential theory and their applications in engineering
[8] Fabrikant Valeri Iossifovitch, 1989, Applications of Potential Theory in Mechanics: A Selection of New Results
[9] Fan T., 2003, Fundamentals of Fracture Theory, Vfirst
[10] ONE-DIMENSIONAL CONSOLIDATION THEORY - UNSATURATED SOILS
FREDLUND, DG
HASAN, JU
[J]. CANADIAN GEOTECHNICAL JOURNAL, 1979, 16 (03) : 521 - 531

← 1 2 3 →