Fracture behavior of two non-symmetrical collinear cracks emanating from an elliptical hole in a piezoelectric material

doi:10.1007/s11465-011-0236-9

Front Mech Eng

2011, Vol. 6

Issue (3) : 296-300 https://doi.org/10.1007/s11465-011-0236-9

RESEARCH ARTICLE

Fracture behavior of two non-symmetrical collinear cracks emanating from an elliptical hole in a piezoelectric material

Junhong GUO(

), Zixing LU

Institute of Solid Mechanics, Beihang University, Beijing 100191, China

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Abstract

Based on the Stroh-type formalism and the technique of conformal mapping, the problem of two non-symmetrical collinear cracks emanating from an elliptical hole in a piezoelectric solid is investigated under remotely uniform in-plane electric loading and anti-plane mechanical loading, which allowed us to take the electric field inside the hole and cracks into account. The analytical solutions of the field intensity factors and the energy release rate are presented in closed-form, which includes the extreme cases for an impermeable crack and a permeable crack. Numerical results are then presented to reveal the effects of geometrical parameters, crack permeability and combined mechanical and electric loadings on the energy release rate.

Keywords piezoelectric materials elliptical hole semi-permeable crack energy release rate analytic solution

Corresponding Author(s): GUO Junhong,Email:guojunhong@ase.buaa.edu.cn

Issue Date: 05 September 2011

Cite this article:

Junhong GUO,Zixing LU. Fracture behavior of two non-symmetrical collinear cracks emanating from an elliptical hole in a piezoelectric material[J]. Front Mech Eng, 2011, 6(3): 296-300.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-011-0236-9
https://academic.hep.com.cn/fme/EN/Y2011/V6/I3/296

Fig.1 Two non-symmetrical collinear cracks emanating from an elliptical hole in an infinite piezoelectric solid

Fig.2 vs. under given mechanical loading and electric loading

Fig.3 Effect of on the energy release rate , under combined mechanical and electric loadings

Fig.4 vs under a given mechanical loading

Fig.5 vs under a given electric loading

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