# Dynamic non-local theory analysis of multiple cracks in a FGPM under anti-plane shear waves

Dynamic non-local theory analysis of multiple cracks in a FGPM under anti-plane shear waves This paper investigates the dynamic interaction of multiple cracks in a functionally graded piezoelectric material (FGPM) plane subject to an anti-plane shear stress wave. The non-local theory and Schmidt method are used. Employing the Fourier transform techniques, the problem is converted to dual integral equations, which the unknown variables are jumps of displacements across the crack surfaces. The present solution exhibits no stress and electric displacement singularities at the crack tips and the stress and electric displacement fields near the crack tips are obtained. The non-local elastic solutions yield a finite hoop stress and electric displacement at the crack tips. This research will give us ideas on material selection for evaluating strength and preventing material failure of FGPM with multiple cracks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Strength, Fracture and Complexity iospress

# Dynamic non-local theory analysis of multiple cracks in a FGPM under anti-plane shear waves

, Volume 11 (1): 17 – Jan 1, 2018
17 pages

/lp/iospress/dynamic-non-local-theory-analysis-of-multiple-cracks-in-a-fgpm-under-V6P10Jyhre
Publisher
IOS Press
ISSN
1567-2069
eISSN
1875-9262
DOI
10.3233/SFC-180209
Publisher site
See Article on Publisher Site

### Abstract

This paper investigates the dynamic interaction of multiple cracks in a functionally graded piezoelectric material (FGPM) plane subject to an anti-plane shear stress wave. The non-local theory and Schmidt method are used. Employing the Fourier transform techniques, the problem is converted to dual integral equations, which the unknown variables are jumps of displacements across the crack surfaces. The present solution exhibits no stress and electric displacement singularities at the crack tips and the stress and electric displacement fields near the crack tips are obtained. The non-local elastic solutions yield a finite hoop stress and electric displacement at the crack tips. This research will give us ideas on material selection for evaluating strength and preventing material failure of FGPM with multiple cracks.

### Journal

Strength, Fracture and Complexityiospress

Published: Jan 1, 2018

### References

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