On singular models of a thin inclusion in a homogeneous elastic medium

DOI10.1016/0021-8928(84)90106-0zbMath0566.73013OpenAlexW1970717726MaRDI QIDQ1059419

S. K. Kanaun

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90106-0

zbMATH Keywords

equilibriumelastic modulimediumasymptotic series in small parametersinclusion differ substantiallymatching the external and internal asymptotic expansionsmoduli are substantially greaterone of whose characteristic dimensions is much less than the other twoprincipal terms of the expansion of the elastic fieldssubstantially less than the elastic modulus of the mediumtwo singular models of thin inclusionstwo-dimensional pseudo-differential equationsunbounded homogeneous

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Inhomogeneity in solid mechanics (74E05) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (7)

On modeling of elastic interface layers in particle composites ⋮ Axisymmetric torsion of an elastic space with a thin elastic inclusion ⋮ Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model ⋮ Preface ⋮ Propagation of long elastic waves in porous rocks with crack-like inclusions ⋮ Propagation of elastic waves through media with thin crack-like inclusions ⋮ Integral equations for a thin inclusion in a homogeneous elastic medium

Cites Work

• On the problem of a three-dimensional crack in an anisotropic elastic medium
• Stress concentration on an ellipsoidal inhomogeneity in an anisotropic elastic medium
• Some problems of the nonhomogeneous elasticity theory
• Perturbation methods and non-linear hyperbolic waves
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