Computation of Coefficients of Crack-Tip Asymptotic Fields Using the Weak Form Quadrature Element Method
Publication: Journal of Engineering Mechanics
Volume 141, Issue 8
Abstract
Coefficients of crack-tip asymptotic fields are computed using a recently developed weak form quadrature element method (QEM), combined with the subregion generalized variational principle. The variational description of a crack is established by dividing the domain into two regions, the potential energy region and the complementary energy region. Then the weak form QEM is employed to derive a system of algebraic equations. The coefficients are extracted directly from solving the equations. The accuracy, efficiency, and parameter sensitivity of the proposed method are discussed by solving a number of benchmark examples. The computed results are in very good agreement with available analytical or numerical results. The involved parameters can be adjusted according to convergence requirements. Thus, the method enjoys the advantages of straightforwardness and self-adaptivity.
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Acknowledgments
The work described in this paper was supported by the National Natural Science Foundation of China (Grant Nos. 11402040, 11272362), the Fundamental Research Funds for the Central Universities of China (Grant No. CDJZR14205550), the Chongqing Science and Technology Commission Fund (Grant No. cstc2013jcyjjq50003), the Ministry of Education Fund (Grant No. 313059), and the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20120191120049).
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 8 • August 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Sep 17, 2014
Accepted: Nov 14, 2014
Published online: Apr 23, 2015
Published in print: Aug 1, 2015
Discussion open until: Sep 23, 2015
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