Revisit of two-circular-holes problem subject to anti-plane remote shear

In this paper, we derive the solution of anti-plane deformation for two circular cylindrical holes embedded in an elastic matrix of infinite extent under remote shears. The two holes may have different radii and distance between each other. The matrix is subjected to arbitrary direction of remote sh...

Full description

Saved in:
Bibliographic Details
Published inComputational & applied mathematics Vol. 43; no. 4
Main Authors Chen, Jeng-Tzong, Tai, Wei-Chen, Kao, Shing-Kai, Lee, Ying-Te
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2024
Springer Nature B.V
Subjects
Applications of Mathematics
Complex variables
Computational Mathematics and Numerical Analysis
Elastic deformation
Geometric transformation
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Shears
Degenerate kernel
Null-field boundary integral equation
Bipolar coordinates
Anti-plane shear
Online AccessGet full text

Cover

More Information
Summary:In this paper, we derive the solution of anti-plane deformation for two circular cylindrical holes embedded in an elastic matrix of infinite extent under remote shears. The two holes may have different radii and distance between each other. The matrix is subjected to arbitrary direction of remote shears. The solution is obtained via the boundary integral formulation in conjunction with the degenerate kernel of bipolar coordinates instead of Möbius transformation using complex variables. Several examples are revisited to compare with those data of Honein et al. Three differences between the present result and those of Morse and Feshbach and Lebedev et al. are discussed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-024-02689-4