Three-dimensional stress singularities at the tip of a grain triple junction line intersecting the free surface

DOI10.1016/S0022-5096(97)00014-8zbMath0974.74526OpenAlexW2156407339MaRDI QIDQ1589282

R. Smith

Publication date: 3 January 2001

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

Full work available at URL: https://doi.org/10.1016/s0022-5096(97)00014-8

zbMATH Keywords

finite elementsmaterial symmetriesmicrostructuresstress singularitycrack nucleationcubic grainsgeometrical symmetrieshexagonal grainssingle-phase polycrystalstriple junction line

Mathematics Subject Classification ID

Crystalline structure (74E15) Stress concentrations, singularities in solid mechanics (74G70) Micromechanical theories (74A60)

Related Items (3)

Numerical analysis of stress singularity at singular points of three-dimensional elastic bodies ⋮ On the computation of the near-tip stress intensities for three-dimensional wedges via two-state \(M\)-integral. ⋮ Fracture initiation at three-dimensional bimaterial interface corners.

Cites Work

• Three-dimensional stress singularities in anisotropic materials and composites
• Surface singularity and crack propagation
• A numerical variational method for extracting 3D singularities
• State of stress at the vertex of a quarter-infinite crack in a half- space
• Elastic stress singularity at conical inclusions
• Stress singularities at triple junctions with freely sliding grains
• Singularities of an interface crack impinging on a triple grain junction
• Three-dimensional harmonic functions near termination of intersection of gradient singularity lines: a general numerical method
• Three-Dimensional Stress Singularities at Conical Notches and Inclusions in Transversely Isotropic Materials
• On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space
• Singularity at the apex of pyramidal notches with three equal angles
• Stress Singularity at the Corner of a Wedge-Shaped Crack or Inclusion
• Singularities at Grain Triple Junctions in Two-Dimensional Polycrystals With Cubic and Orthotropic Grains

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