Elastic Equilibrium of Anisotropic Bimaterial Bodies with Thin Elastic Anisotropic Inclusions Under Longitudinal Shear

By using the method of integral Fourier transforms, the method of jump functions, and the method of conjugation of continua of different dimensions, we construct the solution of the basic problem of longitudinal shear of an anisotropic bimaterial containing a system of thin internal ribbon anisotrop...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 278; no. 5; pp. 842 - 858
Main Authors Vasil’ev, K. V., Sulym, H. T.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2024
Springer Nature B.V
Subjects
Conjugation
Elastic anisotropy
Fourier transforms
Inclusions
Inhomogeneity
Mathematics
Mathematics and Statistics
Modulus of elasticity
Shear
Stress intensity factors
orthotropy
thin inclusion
crack
two-layer structure
anisotropy
bimaterial
antiplane deformation
method of direct cutting-out
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Summary:By using the method of integral Fourier transforms, the method of jump functions, and the method of conjugation of continua of different dimensions, we construct the solution of the basic problem of longitudinal shear of an anisotropic bimaterial containing a system of thin internal ribbon anisotropic inhomogeneities in each half space. By analyzing an example of reducing the problem of longitudinal shear of an anisotropic two-layer structure with thin inhomogeneities to the basic problem, we approve the previously developed method of direct cutting-out. We also investigate the influence of elastic moduli and specific geometric parameters of the problem on the generalized stress intensity factors.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-06964-x