Uniform asymptotic solutions for lamellar inhomogeneities in plane elasticity

DOI10.1016/S0022-5096(99)00025-3zbMath0955.74013WikidataQ127321191 ScholiaQ127321191MaRDI QIDQ1977584

Cristian Dascalu, Dorel Homentcovschi

Publication date: 17 May 2000

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

zbMATH Keywords

rigid inclusionsboundary integral equationscracksfibre-reinforced compositeelastic inclusionselliptic inclusionsinfinitely extended isotropic solidlemon-shaped inclusionsperturbation stressesuniform asymptotic solutions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05)

Related Items (4)

Asymptotic homogenization of three-dimensional thermoelectric composites ⋮ Hypocycloidal inclusions in nonuniform out-of-plane elasticity: stress singularity vs. stress reduction ⋮ The stress concentration near a rigid line inclusion in a prestressed, elastic material. I: Full-field solution and asymptotics ⋮ An intermediate crack model for flaws in piezoelectric solids.

Cites Work

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• On boundary value problems for the domain exterior to a thin or slender region
• A Westergaard-type stress function for line inclusion problems
• Lamellar inhomogeneities in a uniform stress field.
• On the theory of fibre strengthening
• Some ribbon-like inclusion problems
• Uniform Asymptotic Solutions of Two-Dimensional Problems of Elasticity for the Domain Exterior to a Thin Region
• Conformal Mapping of the Domain Exterior to a Thin Region
• Axially symmetric potential flow around a slender body
• Uniform Asymptotic Solutions for Potential Flow Around a Thin Airfoil and the Electrostatic Potential About a Thin Conductor

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