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T. Belytschko, R. Gracie, G. Ventura (2009)
A review of extended/generalized finite element methods for material modelingModelling and Simulation in Materials Science and Engineering, 17
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小山 毅 (2010)
拡張有限要素法(XFEM)・一般化有限要素法(GFEM)を用いた材料モデリングのレビュー Ted Belytschko,Robert Gracie and Giulio Ventura:A Review of Extended/Generalized Finite Element Methods for Material Modeling [Modeling and Simulations in Materials Science and Engineering, Vol.17, 043001, June 2009](構造,文献抄録), 125
The analytic solution for Griffith's crack in an infinite 2-D piezoelectric domain is obtained for arbitrary polarization direction. The analytical approach considered here is simple and different from the existing methodology (where the solutions are firstly obtained for an elliptical void and then degenerated to Griffith's crack solution). The obtained results have shown that intensity factors (IFs) are independent of the polarization direction for Griffith's crack in an infinite 2-D piezoelectric domain. The solution for a polarization perpendicular to the crack is also obtained and validated with existing results. The results of IFs are also obtained numerically using extended finite element method (X-FEM). It is observed that IFs for a finite specimen is polarization direction dependent.
Strength, Fracture and Complexity – IOS Press
Published: Jan 1, 2013
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