Uniform stresses inside a non-elliptical inhomogeneity and a nearby half-plane with locally wavy interface

被引：3

作者：

Wang, Xu ^{[1
]}

Yang, Ping ^{[1
]}

Schiavone, Peter ^{[2
]}

机构：

[1] East China Univ Sci & Technol, Sch Mech & Power Engn, 130 Meilong Rd, Shanghai 200237, Peoples R China

[2] Univ Alberta, Dept Mech Engn, 10-203 Donadeo Innovat Ctr Engn, Edmonton, AB T6G 1HG, Canada

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Locally wavy interface; Non-elliptical inhomogeneity; Uniform stress field; Anti-plane elasticity; Plane elasticity; INVERSE PROBLEM; HARMONIC HOLES; INCLUSION;

D O I：

10.1007/s00033-020-1281-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a two-parameter conformal mapping function for a doubly connected domain to solve the inverse problem in anti-plane and plane elasticity associated with a non-elliptical inhomogeneity with internal uniform stresses embedded in a half-plane bonded to another half-plane also with internal uniform stresses via a locally wavy interface. The internal uniform stresses are found to be independent of the specific shapes of the locally wavy and non-elliptical interfaces. The permissible range of the two parameters in the mapping function for a one-to-one mapping is obtained. Typical geometries corresponding to the three-phase composite are illustrated.

引用

页数：11

共 32 条

[1] Uniform stresses inside a non-elliptical inhomogeneity and a nearby half-plane with locally wavy interface
Xu Wang
Ping Yang
Peter Schiavone
Zeitschrift für angewandte Mathematik und Physik, 2020, 71
[2] Uniformity of stresses inside a non-elliptical inhomogeneity near an irregularly shaped hole in plane elasticity
Wang, Xu
Schiavone, Peter
MECHANICS OF MATERIALS, 2020, 145
[3] Uniform field within a non-elliptical inhomogeneity in the vicinity of a nearby non-circular Eshelby inclusion
Wang, X.
Schiavone, P.
ARCHIVES OF MECHANICS, 2021, 73 (5-6): : 541 - 555
[4] A mode III Dugdale crack interacting with a non-elliptical inhomogeneity with internal uniform stresses
Wang, Xu
Schiavone, Peter
ENGINEERING FRACTURE MECHANICS, 2019, 216
[5] Uniform fields inside two interacting non-parabolic and non-elliptical inhomogeneities
Wang, Xu
Yang, Ping
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (01):
[6] A screw dislocation near a coated non-elliptical inhomogeneity with internal uniform stresses
Wang, Xu
Chen, Liang
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COMPTES RENDUS MECANIQUE, 2019, 347 (02): : 181 - 190
[7] Uniform stresses inside both a non-parabolic inhomogeneity and a non-elliptical inhomogeneity located in the vicinity of a circular Eshelby inclusion
Yang, Ping
Wang, Xu
Schiavone, Peter
MATHEMATICS AND MECHANICS OF SOLIDS, 2022, 27 (01) : 49 - 65
[8] A circular Eshelby inclusion interacting with a coated non-elliptical inhomogeneity with internal uniform stresses in anti-plane shear
Wang, Xu
Schiavone, Peter
MECHANICS OF MATERIALS, 2019, 128 : 59 - 63
[9] Uniformity of stresses inside a non-elliptical inhomogeneity interacting with a mode III crack
Wang, Xu
Chen, Liang
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PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 474 (2218):
[10] Uniformity of stresses inside a non-elliptical inhomogeneity interacting with a circular Eshelby inclusion in anti-plane shear
Xu Wang
Liang Chen
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Archive of Applied Mechanics, 2018, 88 : 1759 - 1766

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