Analysis of power type singularities using finite elements

DOI10.1002/nme.1620110804zbMath0364.65090OpenAlexW2024298414MaRDI QIDQ4139605

Thomas S. Cook, Dennis M. Tracey

Publication date: 1977

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620110804

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (13)

Special elements for point singularities ⋮ A novel variable power singular element in G space with strain smoothing for bi-material fracture analyses ⋮ Variable thermal singularity boundary elements in the study of neighbouring singularities ⋮ Fundamental theory of the semi-radial singularity mapping with applications to fracture mechanics ⋮ Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method ⋮ Semi-radial singularity mapping theory for line singularities in fracture mechanics ⋮ An adaptive singular finite element in nonlinear fracture mechanics ⋮ Mixed‐mode stress intensity factors of a three‐dimensional crack in a bonded bimaterial ⋮ Two end variable singularity boundary elements and their applications in crack-crack interaction problems ⋮ Singularity enrichment for complete sliding contact using the partition of unity finite element method ⋮ Application of a variable order singular element to dynamic fracture mechanics ⋮ A mixed Eulerian-Lagrangian displacement model for large-deformation analysis in solid mechanics ⋮ Two singular points finite elements in the analysis of kinked cracks

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