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Enriched Element-Free Galerkin Method for Fracture Analysis of Functionally Graded Piezoelectric Materials
Joint Authors
Zhou, Li Ming
Meng, Guang Wei
Wang, Hui
Li, Feng
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A new method using the enriched element-free Galerkin method (EEFGM) to model functionally graded piezoelectric materials (FGPMs) with cracks was presented.
To improve the solution accuracy, extended terms were introduced into the approximation function of the conventional element-free Galerkin method (EFGM) to describe the displacement and electric fields near the crack.
Compared with the conventional EFGM, the new approach requires smaller domain to describe the crack-tip singular field.
Additionally, the domain of the nodes was not affected by the crack.
Therefore, the visibility method and the diffraction method were no longer needed.
The mechanical response of FGPM was discussed, when its material parameters changed exponentially in a certain direction.
The modified J-integrals for FGPM were deduced, whose results were compared with the results of the conventional EFGM and the analytical solution.
Numerical example results illustrated that this method is feasible and precise.
American Psychological Association (APA)
Meng, Guang Wei& Wang, Hui& Zhou, Li Ming& Li, Feng. 2015. Enriched Element-Free Galerkin Method for Fracture Analysis of Functionally Graded Piezoelectric Materials. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074357
Modern Language Association (MLA)
Meng, Guang Wei…[et al.]. Enriched Element-Free Galerkin Method for Fracture Analysis of Functionally Graded Piezoelectric Materials. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1074357
American Medical Association (AMA)
Meng, Guang Wei& Wang, Hui& Zhou, Li Ming& Li, Feng. Enriched Element-Free Galerkin Method for Fracture Analysis of Functionally Graded Piezoelectric Materials. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074357
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074357