Path-independent integrals around two circular holes in an infinite plate under biaxial loading conditions

DOI10.1016/j.ijengsci.2011.04.011zbMath1231.74143OpenAlexW2016405889MaRDI QIDQ660553

Enrico Radi

Publication date: 4 February 2012

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.04.011

zbMATH Keywords

conservation lawsbiharmonic equationenergy release rateplane elasticitybipolar coordinatesAiry stress functioncircular holes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (6)

An analytical method for determining the plastic regions around two circular holes in an infinite medium ⋮ A new analytical-numerical method for calculating interacting stresses of a multi-hole problem under both remote and arbitrary surface stresses ⋮ Linear superposition method (LSM) for solving stress tensor fields and displacement vector fields: application to multiple pressure-loaded circular holes in an elastic plate with far-field stress ⋮ M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions ⋮ On an analogy between two plane problems of mechanics in a ring ⋮ Analytical stress solution for an infinite plate containing two oval holes

Cites Work

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• Asymptotics for thin elastic ligaments with applications to body force and thermal loadings
• On a class of conservation laws in linearized and finite elastostatics
• STRESSES IN AN INFINITE PLATE WITH TWO UNEQUAL CIRCULAR HOLES
• Conservation Laws and Energy-Release Rates
• General bi-harmonic analysis for a plate containing circular holes
• \(M\)-integral analysis for two-dimensional solids with strongly interacting microcracks. I: In an infinite brittle solid. II: In the brittle phase of an infinite metal/ceramic bimaterial

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