On a finite crack partially penetrating two circular inhomogeneities and some related problems

DOI10.1016/j.apm.2011.09.014zbMath1243.74174OpenAlexW2116327822MaRDI QIDQ437969

Ernian Pan, Xu Wang

Publication date: 20 July 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.09.014

zbMATH Keywords

closed-form solutionsstress intensity factorcrackApollonius circletwo circular inhomogeneities

Mathematics Subject Classification ID

Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Micromechanical theories (74A60)

Related Items (3)

Stress concentration factor in functionally graded plates with circular holes subjected to anti-plane shear loading ⋮ The interaction between a screw dislocation and a nano-inhomogeneity with a semi-infinite wedge crack penetrating the interface ⋮ An analytical solution for the stress field and stress intensity factor in an infinite plane containing an elliptical hole with two unequal aligned cracks

Cites Work

• Unnamed Item
• A long crack penetrating a circular inhomogeneity
• Electro-elastic stress analysis for a Zener-Stroh crack interacting with a coated inclusion in a piezoelectric solid
• A Semi-Infinite Crack Partially Penetrating a Circular Inclusion
• On two circular inclusions in harmonic problems
• Classical image treatment of a geometry composed of a circular conductor partially merged in a dielectric cylinder and related problems in electrostatics
• The formation of cracks as a result of plastic flow

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