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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 110-116Numerical Solution of an Edge Cracked 2-D...

Numerical Solution of an Edge Cracked 2-D Piezoelectric Media Using Extended Finite Element Method

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Abstract:

The numerical solution for an edge crack problem in a two-dimensional (2-D) finite piezoelectric media has been discussed using extended finite element method. The four-fold standard enrichment functions are taken in conjugation with the interaction integral to evaluate the intensity factors (IFs). The intensity factors as well as the mechanical energy release rate and the total energy release rate has been analyzed for different electro-mechanical boundary conditions. It is observed that the IFs results are coupled and contrary to analytic solution which shows uncoupled behaviour.

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Mechanical and Aerospace Engineering, ICMAE2011

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Periodical:

Applied Mechanics and Materials (Volumes 110-116)

Pages:

91-98

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.110-116.91

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Online since:

October 2011

Authors:

Rama R. Bhargava, Kuldeep Sharma

Keywords:

Crack, Electric-Displacement Intensity Factor, Extended Finite Element Method (XFEM), Interaction Integral, Piezoelectric Ceramic (PZT), Stroh Formalism

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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Citation:

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[13] M.J. McNary, Implementation of the XFEM in the ABAQUS software package, M. Sc. Thesis, 2009, Georgia Institute of Technology. TABLE II IFS and Energy release rate MPa C/m2 %KI error %KIV error %GM error %G error.

[1] 0.

001.

53 -10. 68 -3. 93 -163. 02.

[1] 0.

0001.

56.

[29] 15.

[3] 25.

[3] 52.

[1] 0 0.

57.

[4] 68.

[7] 66.

[1] 0 -0. 0001.

57 -59. 39.

[6] 36.

[15] 92.

[1] 0 -0. 001.

60 -19. 54.

[79] 95 -38. 37.

[5] 0.

001.

56.

[7] 02.

[2] 01.

[1] 57.

[10] 0.

001.

57.

[29] 15.

[3] 25.

[3] 52.