Fracture mechanics for piezoelectric ceramics

Suo, Zhigang; Kuo, Chung-Ming; Barnett, D.M.; Willis, J. R.

doi:10.1016/0022-5096(92)90002-j

Cited by 1,084 publications

(597 citation statements)

References 25 publications

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“…The objection of a negative energy release rate can thus be removed. This applies also to the work in [6]. Crack growth is always enhanced for Case II regardless of the sign of the applied electric field E 1 y .…”

Section: Normalized Crack Growth Segmentsmentioning

confidence: 66%

“…The challenge is to test the same criterion for different field solutions under different conditions. One of the objectives of this work is to demonstrate that the phenomenon of crack growth enhancement and retardation can be explained by combining a field solution with the appropriate fracture criterion while the oversimplified criterion may lead to disagreement with test data [4,5] and results that contradict physics [1,6] such as negative energy release rate.…”

Section: Introductionmentioning

confidence: 99%

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A field model interpretation of crack initiation and growth behavior in ferroelectric ceramics: change of poling direction and boundary condition

Sih

2002

Theoretical and Applied Fracture Mechanics

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Strain energy density expressions are obtained from a field model that can qualitatively exhibit how the electrical and mechanical disturbances would affect the crack growth behavior in ferroelectric ceramics. Simplification is achieved by considering only three material constants to account for elastic, piezoelectric and dielectric effects. Cross interaction of electric field (or displacement) with mechanical stress (or strain) is identified with the piezoelectric effect; it occurs only when the pole is aligned normal to the crack. Switching of the pole axis by 90°and 180°is examined for possible connection with domain switching. Opposing crack growth behavior can be obtained when the specification of mechanical stress r 1 and electric field E 1 or ðr 1 ; E 1 Þ is replaced by strain 1 and electric displacement D 1 or ð 1 ; D 1 Þ. Mixed conditions ðr 1 ; D 1 Þ and ð 1 ; E 1 Þ are also considered. In general, crack growth is found to be larger when compared to that without the application of electric disturbances. This includes both the electric field and displacement. For the eight possible boundary conditions, crack growth retardation is identified only with ðE 1 y ; r 1 y Þ for negative E 1 y and ðD 1 y ; 1 y Þ for positive D 1 y while the mechanical conditions r 1 y or 1 y are not changed. Suitable combinations of the elastic, piezoelectric and dielectric material constants could also be made to suppress crack growth.

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Section: Normalized Crack Growth Segmentsmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 99%

A field model interpretation of crack initiation and growth behavior in ferroelectric ceramics: change of poling direction and boundary condition

Sih

2002

Theoretical and Applied Fracture Mechanics

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“…Since it is very difficult to find the analytical solution to the considered problem, therefore, an important number of engineering and mathematical papers devoted to the numerical solution have been studied to describe the global behavior of such problems (Suo et al 1992;Pan 1999;Jin and Zhong 2002;Zhang et al 2002;Lin et al 2003;Fang et al 2004;Abd-Alla and Al-sheikh 2009b;Kuna 2010;Davì and Milazzo 2011;Abd-Alla et al 2012 andAlibeigloo andLiew 2015). The advantages in the boundary element method (BEM) arises from the fact that the BEM can be regarded as boundary-based method that uses the boundary integral equation formulations where only the boundary of the domain of the partial differential equation (PDE) is required to be meshed.…”

Section: Introductionmentioning

confidence: 99%

A Time-Stepping DRBEM for 3D Anisotropic Functionally Graded Piezoelectric Structures Under the Influence of Gravitational Waves

Fahmy

2017

Facing the Challenges in Structural Engineering

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Abstract. A three-dimensional time-stepping dual reciprocity boundary element method (DRBEM) modelling was investigated for anisotropic functionally graded piezoelectric Structure (FGPS) under the influence of gravitational waves. The FGPS is assumed to be graded through the thickness. The basic aim of this paper is to describe anisotropic displacement behaviour of the homogeneous piezoelectric structures (HPS) and FGPS under the influence of Gravitational waves. The accuracy of the proposed method was examined and confirmed by comparing the obtained results with those known previously. Understanding the behaviour of anisotropic FGPS under the effect of gravitational waves is the key to extending the application of these structures.

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“…One can cite the work of Parton [1], Deeg [2], Pak [3], Sosa [4], Zhang and Hack [5], Suo et al [6], Park and Sun [7], Gao and Barnett [8], Zhang and Tong [9], Zhang et al [10], Ru [11], Gao and Fan [12], McMeeking [13,14], and others. Recently, an extensive summary of the previous work was presented in [15].…”

Section: Introductionmentioning

confidence: 99%

The energy release rate and the J-integral of an electrically insulated crack in a piezoelectric material

Gao

Zhao

Tong

et al. 2004

International Journal of Engineering Science

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Abstract:In this work, we examine the energy release rate and the J-integral of an electrically insulated crack in a piezoelectric solid under remotely uniform electrical/mechanical loads. We model the crack as a slender elliptical flaw to take into account the electric field inside the crack and obtain the exact and explicit solution. The analytic results show that the energy release rate, in general, does not equal to the J-integral and that the J-integral is path-dependent due to the electric traction on the crack faces. However, the energy release rate is equal to the sum of the J-integral along an infinitesimal circle around the crack tip and the average driving force produced by the electric field on the entire crack surface. Under combined mechanical and electrical loading, the energy release rate may be positive or negative, depending on the level of the mechanical load and the strength of the electric field as well. The effect of electric field on the fracture behavior is mechanical load-dependent, which has been observed in experiments.

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Fracture mechanics for piezoelectric ceramics

Cited by 1,084 publications

References 25 publications

A field model interpretation of crack initiation and growth behavior in ferroelectric ceramics: change of poling direction and boundary condition

A field model interpretation of crack initiation and growth behavior in ferroelectric ceramics: change of poling direction and boundary condition

A Time-Stepping DRBEM for 3D Anisotropic Functionally Graded Piezoelectric Structures Under the Influence of Gravitational Waves

The energy release rate and the J-integral of an electrically insulated crack in a piezoelectric material

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