Numerical methods for extracting edge stress intensity functions in anisotropic three-dimensional domains

DOI10.1016/j.cma.2006.10.017zbMath1173.74452OpenAlexW2018203041MaRDI QIDQ1033380

Netta Omer, Zohar Yosibash

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.10.017

zbMATH Keywords

fracture mechanics\(p\)-FEMedge stress intensity functions

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

Control of fracture at the interface of dissimilar materials using randomly oriented inclusions and networks ⋮ Edge singularities in 3D elastic anisotropic and multi-material domains ⋮ Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate ⋮ The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity ⋮ A domain integral for the calculation of generalized stress intensity factors in sliding complete contacts ⋮ Direct computation of elliptic singularities across anisotropic, multi-material edges ⋮ The Fourier-finite element method for the Poisson problem on a non-convex polyhedral cylinder

Cites Work

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• Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method
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• Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures
• Singularities of Rotationally Symmetric Solutions of Boundary Value Problems for the Lamé Equations
• General edge asymptotics of solutions of second-order elliptic boundary value problems II
• Crack Singularities for General Elliptic Systems
• A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions
• Numerical analysis of singularities in two‐dimensions part 1: Computation of eigenpairs
• The elastic‐field behavior in the neighborhood of a crack of arbitrary angle
• Fast semi-analytic computation of elastic edge singularities

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