Premium
On the use of isoparametric finite elements in linear fracture mechanics
Author(s) -
Barsoum Roshdy S.
Publication year - 1976
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620100103
Subject(s) - stress intensity factor , plane stress , singularity , finite element method , fracture mechanics , mathematics , quadratic equation , fracture (geology) , plane (geometry) , continuum mechanics , stress (linguistics) , structural engineering , mathematical analysis , geometry , mechanics , engineering , physics , geotechnical engineering , linguistics , philosophy
Quadratic isoparametric elements which embody the inverse square root singularity are used in the calculation of stress intensity factors of elastic fracture mechanics. Examples of the plane eight noded isoparametric element show that it has the same singularity as other special crack tip elements, and still includes the constant strain and rigid body motion modes. Application to three‐dimensional analysis is also explored. Stress intensity factors are calculated for mechanical and thermal loads for a number of plane strain and three‐dimensional problems.