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Transition elements to be used with quarter‐point crack‐tip elements
Author(s) -
Lynn Paul P.,
Ingraffea Anthony R.
Publication year - 1978
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.1620120612
Subject(s) - quadrilateral , singularity , quadratic equation , point (geometry) , generalization , singular point of a curve , stress intensity factor , element (criminal law) , mathematics , structural engineering , stress (linguistics) , mathematical analysis , geometry , finite element method , engineering , linguistics , philosophy , political science , law
A generalization of the (r −1/2 ) strain or stress singularity capability of the quadratic isoparametric element is presented. It is shown that, by variable placement of the side‐nobe between quarter‐ and mid‐point, the point of singularity sensed by the element can be controlled. By using eight‐noded quadrilateral isoparametric elements with appropriately placed side‐nodes as transition elements between the quarter‐point crack‐tip trinagular and remaining non‐singular elements, stress intensity factors may be computed with higher accuracy.