Static equilibrium of an elastic orthotropic medium with an arbitrarily oriented triaxial ellipsoidal inclusion

被引：4

作者：

Kirilyuk, V. S. ^{[1
]}

Levchuk, O. I. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2007年 / 43卷 / 04期

关键词：

orthotropic medium; ellipsoidal inclusion; arbitrary orientation; stress distribution;

D O I：

10.1007/s10778-007-0036-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stress state of an elastic orthotropic medium with an arbitrarily oriented triaxial ellipsoidal inclusion is analyzed. A solution is obtained using the triple Fourier transform and the Fourier-transformed Green's function for an infinite anisotropic medium. The high efficiency of the approach is demonstrated by solving the problem for a transversely isotropic material with a spheroidal cavity for which the exact solution is known. A numerical analysis is conducted to study the stress distribution over the surface of the inclusion with different orientations in the orthotropic space. It is revealed that in some cases the orientation of the inclusion has a strong effect on the stress concentration.

引用

页码：403 / 408

页数：6

共 46 条

[1] Static equilibrium of an elastic orthotropic medium with an arbitrarily oriented triaxial ellipsoidal inclusion
V. S. Kirilyuk
O. I. Levchuk
[J]. International Applied Mechanics, 2007, 43 : 403 - 408
[2] Stress state of a piezoelectric elastic medium with an arbitrarily oriented triaxial ellipsoidal inclusion
Babich I.Y.
Kirilyuk V.S.
[J]. International Applied Mechanics, 2009, 45 (4) : 406 - 412
[3] On the static equilibrium of an elastic orthotropic medium with an arbitrarily oriented elliptical crack
Kirilyuk V.S.
Levchuk O.I.
Tkachenko V.F.
[J]. Strength of Materials, 2007, 39 (04) : 443 - 453
[4] Stress State of an Orthotropic Electroelastic Medium with an Arbitrarily Oriented Elliptic Inclusion*
V. S. Kyrylyuk
O. I. Levchuk
[J]. International Applied Mechanics, 2021, 57 : 320 - 326
[5] Stress State of an Orthotropic Electroelastic Medium with an Arbitrarily Oriented Elliptic Inclusion*
Kyryliuk, V. S.
Levchuk, O., I
[J]. INTERNATIONAL APPLIED MECHANICS, 2021, 57 (03) : 320 - 326
[6] Compliance contribution tensor of an arbitrarily oriented ellipsoidal inhomogeneity embedded in an orthotropic elastic material
Sevostianov, Igor
Kushch, Volodymyr, I
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2020, 149
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[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1980, 44 (05): : 617 - 621
[8] A HOLLOW ELLIPSOIDAL NEEDLE IN AN ORTHOTROPIC ELASTIC MEDIUM
MIRENKOVA, GN
SOSNINA, EG
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1990, 54 (06): : 837 - 841
[9] Static Equilibrium of an Elastic Orthotropic Medium with an Elliptic Crack under Bending
V. S. Kirilyuk
[J]. International Applied Mechanics, 2005, 41 : 895 - 903
[10] Static equilibrium of an elastic orthotropic medium with an elliptic crack under bending
Kirilyuk, VS
[J]. INTERNATIONAL APPLIED MECHANICS, 2005, 41 (08) : 895 - 903

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