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On quadratic isoparametric transition elements for a crack normal to a bimaterial interface
Author(s) -
Yavari Arash,
Sarkani Shahram,
Moyer E. Thomas
Publication year - 1999
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/(sici)1097-0207(19990930)46:3<457::aid-nme687>3.0.co;2-9
Subject(s) - quadratic equation , singularity , stress intensity factor , position (finance) , interface (matter) , mathematics , mathematical analysis , fissure , geometry , materials science , structural engineering , finite element method , mechanics , physics , engineering , composite material , finance , bubble , maximum bubble pressure method , economics
The quadratic isoparametric crack‐tip elements proposed by R. E. Abdi and G. Valentin ( Computers and Structures 33, 241–248) are reconsidered and a simpler method for calculating the optimal position of the side nodes proposed. Quadratic isoparametric transition elements for an r λ −1 (0< λ <1) strain singularity are formulated. The effects of these transition elements on the accuracy of the calculated stress intensity factors are shown numerically for a crack normal to and terminating at a bimaterial interface. Finally, layered transition elements are formulated for this case and their effects studied numerically. Copyright © 1999 John Wiley & Sons, Ltd.