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Structural Engineering and Mechanics
  Volume 28, Number 4, March10 2008 , pages 461-477
DOI: https://doi.org/10.12989/sem.2008.28.4.461
 


J-integral calculation by domain integral technique using adaptive finite element method
Sutthisak Phongthanapanich, Kobsak Potjananapasiri and Pramote Dechaumphai

 
Abstract
    An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near crack tips. The domain integral technique, for which all relevant quantities are integrated over any arbitrary element areas around the crack tips, is utilized as the J-integral solution scheme with 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure onto a remeshing algorithm
with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Several benchmark problems are analyzed to evaluate the
efficiency of the combined domain integral technique and the adaptive finite element method.
 
Key Words
    adaptive finite element method; domain integral technique; J-integral; solution mapping.
 
Address
Sutthisak Phongthanapanich: Mechanical Engineering Technology Department, College of Industrial Technology, King Mongkut?s University of Technology North Bangkok, Bangkok 10800, Thailand
Kobsak Potjananapasiri and Pramote Dechaumphai:
Mechanical Engineering Department, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand
 

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