Closed form solution for an annular elliptic crack around an elliptic rigid inclusion in an infinite solid

DOI10.1002/ZAMM.201100134zbMath1348.74298OpenAlexW2060543760MaRDI QIDQ3143695

Brij M. Singh, Ranjit S. Dhaliwal, Jon G. Rokne

Publication date: 3 December 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100134

zbMATH Keywords

closed form solutioncrack problemrigid inclusion

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (4)

On numerical solving a rigid inclusions problem in 2D elasticity ⋮ Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions ⋮ Compact closed form solution of the incremental plane states in a pre-stressed elastic composite with an elliptical hole ⋮ Analytical calculation of stress intensity factors for orthotropic plates containing cracks emanating from a circular hole using Schwarz integration

Cites Work

• The fracture behavior of multiple cracks emanating from a circular hole in piezoelectric materials
• Anti-plane analysis of semi-infinite crack in piezoelectric strip
• Exact solutions of two semi-infinite collinear cracks in piezoelectric strip
• A numerical analysis of cracks emanating from an elliptical hole in a 2-D elasticity plate
• The mode III cracks originating from the edge of a circular hole in a piezoelectric solid
• Exact solutions for anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole in a piezoelectric material
• Interaction between coplanar elliptic cracks. I: Normal loading
• Boussinesq's problem for a debonded boundary
• Anti-plane States in an Anisotropic Elastic Body Containing an Elliptical Hole
• Interaction Between an Edge Dislocation and a Rigid Elliptical Inclusion
• The solution of some integral equations and their connection with dual integral equations and series

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