Collinear and Periodic Electrode-Ceramic Interfacial Cracks in Piezoelectric Bimaterials

Häusler, Christoph; Gao, Cun‐Fa; Balke, Herbert

doi:10.1115/1.1767168

Cited by 25 publications

(14 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For arbitrary piezoelectric materials and poling directions of the piezoelectric materials, the full form of the near tip field is derived in Häusler and Balke (2005) using the modified Stroh formalism (Häusler and Balke 2001). The results of this theoretical work are applied here, adjusted to the alternating in-plane poling of the A-actuators (Häusler et al 2004).…”

Section: Discussionmentioning

confidence: 99%

Interfacial fracture of piezoelectric multilayer actuators under mechanical and electrical loading

et al. 2009

View full text Add to dashboard Cite

The fracture behaviour of metal-piezoceramic interfaces under mechanical and electrical loading is examined by four point bending using commercial multilayer actuators. The experiments are performed under stable crack growth in a custom made very stiff testing machine. Besides mechanical loading, a constant electric field was methodically switched on in longitudinal specimen direction. Both poled and unpoled actuators were tested. The crack morphology and the fracture toughness depend on the type of the metal-ceramic interfaces. Assuming different electrical crack boundary conditions of a permeable and an impermeable crack, the field intensity factors K ic , with i = 1, 2, 3, and energy release rates G c (K ic ) at the measured critical loads are evaluated with linear-piezoelectric finite element calculations. Inside the bounds of the electrically induced mixed-mode angles, the permeable crack boundary condition yields a constant interface toughness .

show abstract

Section: Discussionmentioning

confidence: 99%

Interfacial fracture of piezoelectric multilayer actuators under mechanical and electrical loading

et al. 2009

View full text Add to dashboard Cite

show abstract

“…Some common two-dimensional solutions were derived by Suo et al (1992), Zhong and Meguid (1997) and Herrmann et al (2001) for impermeable cracks, Gao and Wang (2000), Gao and Balke (2003) and Hausler et al (2004) for permeable cracks, and Ru (2000), Beom and Atluri (2002) and Wang and Zhong (2002) for conducting cracks. Soh et al (2002) and Gao et al (2005) analyzed the interactions of a screw dislocation and a dipole with an interfacial crack in piezoelectric solids, respectively.…”

Section: Introductionmentioning

confidence: 99%

A piezoelectric screw dislocation interacts with interfacial collinear rigid lines in piezoelectric bimaterials

Xiao

Zhang

Chen

2007

International Journal of Solids and Structures

View full text Add to dashboard Cite

Based on the complex variable method and perturbation technique, an analytical closed-form solution is derived for the interaction between a screw dislocation and collinear rigid lines along the interface of two dissimilar piezoelectric media under remote anti-plane mechanical and in-plane electrical loading. The rigid lines are either conducting or dielectric. The dislocation core is subjected to a line-force and a line-charge. A square-root singularity of field variables near the tip of an interfacial rigid line is observed. The rigid line extension force acting on the tip is obtained in terms of the strain and electric field intensity factor. The force on the dislocation due to the interfacial rigid line is calculated. The influence of the angular position of the dislocation, material properties and electromechanical coupling factor on the force is studied in detail.

show abstract

“…Up till now, only a few papers have been devoted to the problems of collinear unequal cracks in piezoelectric materials. In this respect, the contributions of Gao and his cooperators by the complex potential method are quite prominent (Gao and Fan 1999;Gao and Wang 2000;Gao et al 2004;Hausler et al 2004). and dealt with transient or dynamic collinear unequal cracks in piezoelectric materials by the methods of integral transform and singular integral equation.…”

Section: Introductionmentioning

confidence: 99%

Two collinear unequal cracks in a poled piezoelectric plane: Mode I case solved by a new approach of real fundamental solutions

Lee

2010

Int J Fract

View full text Add to dashboard Cite

The purpose of the present work is to study the problem of two collinear unequal cracks in a piezoelectric plane under mode I electromechanical loadings via a new approach. For the first time, real fundamental solutions are derived for in-plane piezoelectric governing equations. The cracks are simulated by continuously distributed generalized dislocations and Cauchy singular integral equations are established from the solution of a generalized point dislocation. Both the theorectical derivation and numerical computations are validated by the exact solution in a special case. Parametric studies are conducted to reveal the effects of crack space, crack length, electric loading and remanent electric displacement on energy release rate. It is found that negative electric displacement loading can decrease both the total energy release rate (TERR) and the mechanical strain energy release rate (MSERR), implying that it has a shielding effect on cracks definitely. Positive electric displacement loading can enhance MSERR, but meanwhile it can enhance or reduce TERR depending on the magnitude of the electric loading factor. The effect of a remanent electric displacement along the poling direction is equivalent to that of a positive electric field loading and should be considered in engineering design.

show abstract

Collinear and Periodic Electrode-Ceramic Interfacial Cracks in Piezoelectric Bimaterials

Cited by 25 publications

References 24 publications

Interfacial fracture of piezoelectric multilayer actuators under mechanical and electrical loading

Interfacial fracture of piezoelectric multilayer actuators under mechanical and electrical loading

A piezoelectric screw dislocation interacts with interfacial collinear rigid lines in piezoelectric bimaterials

Two collinear unequal cracks in a poled piezoelectric plane: Mode I case solved by a new approach of real fundamental solutions

Contact Info

Product

Resources

About