Uniformity of stresses inside a parabolic inhomogeneity

DOI10.1007/S00033-020-1271-3zbMath1439.30062OpenAlexW3008773986MaRDI QIDQ2174194

Peter Schiavone, Xu Wang

Publication date: 21 April 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-1271-3

zbMATH Keywords

complex variable methodplane elasticityanti-plane elasticityparabolic inhomogeneityuniform stresses

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Micromechanics of solids (74M25) Boundary value problems in the complex plane (30E25) PDEs in connection with mechanics of deformable solids (35Q74) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (7)

Uniform stresses inside two hyperbolic inhomogeneities ⋮ A hole of irregular shape interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses ⋮ The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields ⋮ Two bonded half‐planes with a parabolic inclusion ⋮ A circular Eshelby inclusion interacting with a non-parabolic open inhomogeneity with internal uniform anti-plane stresses ⋮ A circular Eshelby inclusion with linear eigenstrains interacting with a coated non-parabolic inhomogeneity with internal uniform anti-plane stresses ⋮ Uniform fields inside two interacting non-parabolic and non-elliptical inhomogeneities

Cites Work

• A generalized Milne-Thomson theorem for the case of parabolic inclusion
• Elastic inclusion problems in plane elastostatics
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The elastic field outside an ellipsoidal inclusion
• On the Elliptic Inclusion in Anti-Plane Shear
• ELLIPTIC ELASTIC INCLUSION IN AN INFINITE ELASTIC PLATE
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