Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space: A semi-analytic solution

Ang, W.T.; Athanasius, L.

doi:10.1016/j.euromechsol.2011.03.003

Cited by 10 publications

(2 citation statements)

References 32 publications

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“…A time domain hypersingular integral equations have been solved by Garcia [1] for transient fracture analysis in piezoelectric solid. Semi-analytic solution have been developed by Ang [2] for dynamic interaction of multiple cracks in piezoelectric plane.…”

Section: Introductionmentioning

confidence: 99%

Transient response of a piezoelectric solid with multiple cracks under impact loading

Zhao¹,

秦太验²

2014

Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications

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Atime domain numericalmethod is proposed to study the dynamic interaction of multiple planar cracks in a piezoelectric solid. Arbitrary oriented planar cracks, which are acted upon by a transient load, in an infinite piezoelectric space is considered. By using the reciprocity theorem and the technique of integral by part, a time domain singular integral equations are obtained. Convolution quadrature method are applied to discrete the time convolution and Gauss Chebyshev method are applied to approximate the singular spatial integral. Numerical examples are carried out to examine the accuracy of the proposed method. And numerical results show the dynamic interaction of the cracks under impact loading.

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Section: Introductionmentioning

confidence: 99%

Transient response of a piezoelectric solid with multiple cracks under impact loading

Zhao¹,

秦太验²

2014

Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications

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“…Under transient electromechanical loading, severe mechanical stress occurs during operation. Therefore, many authors studied the dynamic fracture of piezoelectric materials to understand their electromechanical behaviors under different time-dependent loads (Ang and Athanasius, 2011;Enderlein et al, 2005;Feng et al, 2006;Garcia-Sanchu et al, 2008;Li and Lee, 2006;Liu and Zhong, 2010;Nishioka et al, 2003;Rojas-Diaz et al, 2011;Saez et al, 2006;Ueda, 2003;Wunsche et al, 2011;Zhao, 2004). For practical applications, the crack and the medium are always of finite size.…”

Section: Introductionmentioning

confidence: 99%

Transient electromechanical cracking of finite piezoelectric bodies

Wang

2013

Journal of Intelligent Material Systems and Structures

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This article studies the problem of a finite crack in a finite piezoelectric medium subjected to transient electric and mechanical loads. Unlike past studies that mainly focused on the infinitesimal cracks, the current article considers the effect of the medium boundaries on the transient fracture behavior of piezoelectric materials. A system of singular integral equations is formulated in terms of the crack surface displacement and electric potential. Effects of crack length and medium size on the crack-tip field intensity factors are investigated in detail. Numerical results for the time-dependent stress and electric displacement intensity factors are obtained. Electrically impermeable crack assumption, electrically permeable crack assumption, and notch of finite height are investigated. Some new conclusions are drawn.

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Analysis of an arbitrarily oriented crack in a finite piezoelectric plane via the hybrid extended displacement discontinuity-fundamental solution method

et al. 2012

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Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space: A semi-analytic solution

Cited by 10 publications

References 32 publications

Transient response of a piezoelectric solid with multiple cracks under impact loading

Transient response of a piezoelectric solid with multiple cracks under impact loading

Transient electromechanical cracking of finite piezoelectric bodies

Analysis of an arbitrarily oriented crack in a finite piezoelectric plane via the hybrid extended displacement discontinuity-fundamental solution method

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