Analysis of Anisotropic Elastic Medium with Multilayered Isotropic Elliptic Ring Inclusions under Out-of-Plane Shear Loading at Infinity

This paper presents the closed-form solutions of a two-dimensional anisotropic elastic medium (matrix) containing isotropic elastic multilayered elliptic ring inclusions under uniform out-of-plane shear stresses at infinity. This analysis is based on the complex variable method using a conformal map...

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Bibliographic Details
Published inTransactions of the Japan Society of Mechanical Engineers Series A Vol. 63; no. 613; pp. 2018 - 2024
Main Authors IKEDA, Zenji, HIRASHIMA, Kenichi, KIMURA, Kiyokazu
Format Journal Article
LanguageJapanese
Published The Japan Society of Mechanical Engineers 25.09.1997
Subjects
Anisotropic Elasticity
Inclusion
Multilayered Isotropic Elliptic Rings
Out-of-Plane Shear Loading
Perfect Bonding or Sliding Boundary
Stress Intensity (Singularity) Factor
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Summary:This paper presents the closed-form solutions of a two-dimensional anisotropic elastic medium (matrix) containing isotropic elastic multilayered elliptic ring inclusions under uniform out-of-plane shear stresses at infinity. This analysis is based on the complex variable method using a conformal mapping technique and analytical continuations, and allows some sliding boundary conditions among the elastic rings, inner inclusion and the matrix. Using these solutions, we demonstrate the effects of the number, elastic properties and sliding parameters of various multilayered isotropic elastic rings on the distribution of stresses and displacements.
ISSN:0387-5008
1884-8338
DOI:10.1299/kikaia.63.2018