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Effect of second non‐singular term of mode I near the tip of a V‐notched crack
Author(s) -
KIM J. K.,
CHO S. B.
Publication year - 2009
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.2009.01336.x
Subject(s) - eigenfunction , reciprocal , eigenvalues and eigenvectors , mathematical analysis , finite element method , term (time) , mathematics , mode (computer interface) , singular integral , work (physics) , j integral , structural engineering , physics , integral equation , engineering , philosophy , linguistics , quantum mechanics , computer science , thermodynamics , operating system
The effect of a second non‐singular term of mode I in the vicinity of the tip of a V‐notched crack is discussed. The undetermined eigenvector coefficients of singular and non‐singular terms of eigenfunction expansion were calculated by the numerical analysis method using the reciprocal work contour integral method (RWCIM) based on Betti's reciprocal work theorem and finite‐element analysis. This study demonstrates that the second non‐singular term of mode I can have a significant effect on the size and shape of plastic zones as an additional fracture mechanics parameter along with the conventional parameter K .