Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method

DOI10.1007/s10704-005-4245-8zbMath1197.74043OpenAlexW1984872832MaRDI QIDQ712302

Netta Omer, Martin Costabel, Zohar Yosibash, Monique Dauge

Publication date: 28 October 2010

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-005-4245-8

zbMATH Keywords

\(J\)-integraledge stress intensity functionshigh order finite elements

Mathematics Subject Classification ID

Brittle fracture (74R10) Bifurcation and buckling (74G60)

Related Items (9)

Edge singularities in 3D elastic anisotropic and multi-material domains ⋮ A 3-D failure initiation criterion from a sharp V-notch edge in elastic brittle structures ⋮ Singular solutions of the Poisson equation at edges of three‐dimensional domains and their treatment with a predictor–corrector finite element method ⋮ The Fourier-finite-element method for Poisson's equation in three-dimensional axisymmetric domains with edges: computing the edge flux intensity functions ⋮ Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains ⋮ Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate ⋮ Flux intensity functions for the Laplacian at axisymmetric edges ⋮ Stress intensity factor analysis of a three-dimensional interfacial corner between anisotropic bimaterials under thermal stress ⋮ Numerical methods for extracting edge stress intensity functions in anisotropic three-dimensional domains

Cites Work

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• Edge flux intensity functions in polyhedral domains and their extraction by a quasidual function method
• Singularities of Rotationally Symmetric Solutions of Boundary Value Problems for the Lamé Equations
• 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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