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Numerical evaluation of stress intensity factor and J integral in three‐point bend specimen
Author(s) -
Pratap C. R.,
Pandey R. K.,
Natarajan R.,
Gupta K. N.
Publication year - 1984
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.1620200103
Subject(s) - stress intensity factor , quadratic equation , singularity , plane stress , mathematics , fracture mechanics , finite element method , mathematical analysis , plane (geometry) , point (geometry) , j integral , degenerate energy levels , structural engineering , fracture (geology) , stress (linguistics) , geometry , materials science , engineering , physics , composite material , linguistics , philosophy , quantum mechanics
The present paper attempts to evaluate the fracture mechanics parameters, the stress intensity factor ( K ) and Rice's energy integral ( J ) in plane strain conditions for three‐point bend specimens. Both the parameters have been evaluated by the FEM using higher order isoparametric elements (i.e. quadratic elements). The crack tip elastic singularity (1/√r) has been taken into account by the use of the special crack tip elements of degenerate triangular element type as well as the fine eight‐noded isoparametric plane elements. The stress distribution has been compared with the Westergaard solution in the vicinity of the crack. The K and J values have also been‐compared with the theoretical results.