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Evaluation of the T‐stress and stress intensity factor for a cracked plate in general case using eigenfunction expansion variational method
Author(s) -
CHEN Y. Z.,
LIN X. Y.,
WANG Z. X.
Publication year - 2008
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.1460-2695.2008.01244.x
Subject(s) - stress intensity factor , eigenfunction , traction (geology) , mathematical analysis , boundary value problem , mathematics , collocation (remote sensing) , elasticity (physics) , stress (linguistics) , structural engineering , fracture mechanics , materials science , physics , engineering , computer science , eigenvalues and eigenvectors , quantum mechanics , machine learning , linguistics , philosophy , composite material , mechanical engineering
This paper investigates the T‐stress and stress intensity factor for a cracked plate in general case. In the general case, the shape of boundary and the applied loading are arbitrary. The eigenfunction expansion variational method (EEVM) is developed to evaluate the T‐stress and stress intensity factor. For the traction boundary value problem, the EEVM is equivalent to the theorem of least potential energy in elasticity. Therefore, the EEVM possesses a clear physical meaning and it does not depend on any boundary collocation scheme. Several numerical examples are presented, which include: (1) a line crack in circular plate and (2) a line crack in rectangular plate. Numerical examination for convergence in an example is carried out.