Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate

DOI10.1177%2F1081286516666133zbMath1395.74040MaRDI QIDQ5374456

Netta Omer, Zohar Yosibash

Publication date: 14 September 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

zbMATH Keywords

elasticityfracture mechanicscomposite materialsedge stress intensity functionshigh order finite elements

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (1)

Higher-order time domain boundary elements for elastodynamics: graded meshes and \textit{hp} versions

Cites Work

• Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation.
• Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method
• Edge singularities in 3D elastic anisotropic and multi-material domains
• Numerical methods for extracting edge stress intensity functions in anisotropic three-dimensional domains
• On the determination of higher order terms of singular elastic stress fields near corners
• 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
• 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
• Corner singularities and regularity of weak solutions for the two-dimensional Lamé equations on domains with angular corners
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate