Special elements for point singularities

DOI10.1016/0045-7825(87)90073-9zbMath0611.73096OpenAlexW2087320934MaRDI QIDQ1087387

Hasan G. Askar

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90073-9

zbMATH Keywords

stress intensity factorspoint singularitiescracked plateslinear fracture mechanicsextension of Williams eigenvalues for different vertex angles

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)

Cites Work

• Unnamed Item
• On quadrature and singular finite elements
• Techniques for developing ‘special’ finite element shape functions with particular reference to singularities
• Infinite elements with 1/rn type decay
• Crack tip finite elements are unnecessary
• On the use of isoparametric finite elements in linear fracture mechanics
• The generation of elements with singularities
• Analysis of power type singularities using finite elements
• A conforming crack tip element with quadratic variation in the singular fields
• Singularity computations
• Families of consistent conforming elements with singular derivative fields

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