Investigation of Generalized SIFs of cracks in 3D piezoelectric media under various crack-face conditions

doi:10.1007/s11709-019-0586-7

Frontiers of Structural and Civil Engineering

2020, Vol. 14

Issue (2): 280-298 https://doi.org/10.1007/s11709-019-0586-7

本期目录

Investigation of Generalized SIFs of cracks in 3D piezoelectric media under various crack-face conditions

Jaroon RUNGAMORNRAT¹, Bounsana CHANSAVANG², Weeraporn PHONGTINNABOOT³(

), Chung Nguyen VAN⁴

¹. Applied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand
². Department of Civil Engineering, Faculty of Engineering, Souphanouvong University, Loungprabang 06000, Laos
³. Department of Civil Engineering, Faculty of Engineering, Burapha University, Chonburi 20131, Thailand
⁴. Faculty of Civil Engineering, Ho Chi Minh City of Technology and Education, Ho Chi Minh 721400, Vietnam

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Abstract：

This paper investigates the influence of crack geometry, crack-face and loading conditions, and the permittivity of a medium inside the crack gap on intensity factors of planar and non-planar cracks in linear piezoelectric media. A weakly singular boundary integral equation method together with the near-front approximation is adopted to accurately determine the intensity factors. Obtained results indicate that the non-flat crack surface, the electric field, and the permittivity of a medium inside the crack gap play a crucial role on the behavior of intensity factors. The mode-I stress intensity factors ( $K I$ ) for two representative non-planar cracks under different crack-face conditions are found significantly different and they possess both upper and lower bounds. In addition, $K I$ for impermeable and semi-permeable non-planar cracks treated depends strongly on the electric field whereas those of impermeable, permeable, and semi-permeable penny-shaped cracks are identical and independent of the electric field. The stress/electric intensity factors predicted by permeable and energetically consistent models are, respectively, independent of and dependent on the electric field for the penny-shaped crack and the two representative non-planar cracks. Also, the permittivity of a medium inside the crack gap strongly affects the intensity factors for all crack configurations considered except for $K I$ of the semi-permeable penny-shaped crack.

Key words： crack-face conditions intensity factors non-flat cracks permittivity piezoelectric media SGBEM

收稿日期: 2018-11-16 出版日期: 2020-05-08

Corresponding Author(s): Weeraporn PHONGTINNABOOT

引用本文:

. [J]. Frontiers of Structural and Civil Engineering, 2020, 14(2): 280-298.
Jaroon RUNGAMORNRAT, Bounsana CHANSAVANG, Weeraporn PHONGTINNABOOT, Chung Nguyen VAN. Investigation of Generalized SIFs of cracks in 3D piezoelectric media under various crack-face conditions. Front. Struct. Civ. Eng., 2020, 14(2): 280-298.

链接本文:

https://academic.hep.com.cn/fsce/CN/10.1007/s11709-019-0586-7
https://academic.hep.com.cn/fsce/CN/Y2020/V14/I2/280

Fig.1

item	elastic constants × 10⁹ Pa)					piezoelectric constants (C/m²)			dielectric permittivities (× 10^-9 C/(Vm))
item	$E 1111$	$E 1122$	$E 1133$	$E 3333$	$E 1313$	$E 1143$	$E 3343$	$E 1341$	$− E 1441$	$− E 3443$
value	139.00	77.80	74.30	113.00	25.60	?6.98	13.80	13.40	6.00	5.47

Tab.1

Fig.2

Fig.3

Fig.4

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