Thermoelectromechanical Response of a Piezoelectric Strip with Two Parallel Cracks of Different Lengths

Ueda, Sei; Ishii, Akito; Kondo, Hironori; Ikawa, Ken

doi:10.1299/kikaia.74.1134

Cited by 12 publications

(7 citation statements)

References 14 publications

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“…The value of K À I , however, is always positive so that the lower crack atŷ ¼ Àh 0 is always open for the cases of 0:1 6 c=h 6 0:7. The present results are consistent with the analytical solution in Ueda and Ishii (2008).…”

Section: Piezoelectric Strip With Two Parallel Crackssupporting

confidence: 92%

“…The present results have not included this effect. As the friction as well as the heat and electric transfer between crack faces exist due to the crack contact, the intensity factors would be lower than the present results (Ueda and Ishii, 2008). The value of K À I , however, is always positive so that the lower crack atŷ ¼ Àh 0 is always open for the cases of 0:1 6 c=h 6 0:7.…”

Section: Piezoelectric Strip With Two Parallel Crackscontrasting

confidence: 66%

“…The maximum normalized relative values of temperature along the crack face occur atx ¼ 0 in each crack. The analytical solutions in Ueda and Ishii (2008) are digitized and plotted as the solid lines. The present results agree well with the analytical solution.…”

Section: Piezoelectric Strip With Two Parallel Cracksmentioning

confidence: 99%

“…A review on the fracture analysis of thermo-piezoelectric materials was reported by Qin (2001). More recent research into the fracture mechanics of thermo-piezoelectric materials focuses on more complicated problems, for example, complex crack geometries in the form of multiple cracks (Ueda, 2003;Ueda, 2006;Ueda and Ishii, 2008;Ueda and Hatano, 2012;Zhang and Wang, 2013), functionally graded piezoelectric materials (Ueda, 2007) and elasto-dynamics (Ueda, 2008). These analytical solutions of the thermally induced fracture are mostly derived for standard crack configurations in infinite domains subjected to simple loading conditions.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

SBFEM for fracture analysis of piezoelectric composites under thermal load

Ooi

Song

et al. 2015

International Journal of Solids and Structures

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a b s t r a c tThis paper extends a semi-analytical technique, the so-called scaled boundary finite element method (SBFEM), to analyze fracture behaviors of piezoelectric materials and piezoelectric composites under thermal loading. In this method, only the boundary is discretized leading to a reduction of the spatial dimension by one. The temperature field in the domain is obtained using the SBFEM and expressed as a series of power functions of the radial coordinate. The resulting stress and electric displacement distribution along the radial direction is represented analytically. This permits the generalized stress and electric displacement intensity factors to be directly evaluated from the solution by following standard stress recovery procedures in the finite element method (FEM). Numerical examples are presented to verify the proposed technique with the analytical solutions and the results from the literature. The present results highlight the accuracy, simplicity and efficiency of the proposed technique.

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Section: Piezoelectric Strip With Two Parallel Crackssupporting

confidence: 92%

Section: Piezoelectric Strip With Two Parallel Crackscontrasting

confidence: 66%

Section: Piezoelectric Strip With Two Parallel Cracksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

SBFEM for fracture analysis of piezoelectric composites under thermal load

Ooi

Song

et al. 2015

International Journal of Solids and Structures

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show abstract

“…Then, one of the remaining problems that need to be fully understood is that of interaction between cracks in such media subjected to thermal loading, and the present author investigated the thermoelectromechanical interaction of piezoelectric strips under thermoelectric loading with two parallel cracks [17,18] and with two coplanar cracks [19].…”

Section: Introductionmentioning

confidence: 99%

Infinite Row of Parallel Cracks in a Functionally Graded Piezoelectric Material Strip Under Mechanical and Transient Thermal Loading Conditions

Ueda

Ashida

2009

Journal of Thermal Stresses

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In this paper, the problem of an infinite row of parallel cracks in a functionally graded piezoelectric material strip (FGPM strip) is analyzed under static mechanical and transient thermal loading conditions. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. By using the Laplace and Fourier transforms, the thermoelectromechanical problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.

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Normal Cracks in a Functionally Graded Piezoelectric Material Strip Under Transient Thermal Loading

Ueda

2011

Journal of Thermal Stresses

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Piezoelectric materials widely have been used as sensors and actuators in smart or intelligent systems to sense thermally induced distortions and to adjust for adverse thermomechanical conditions. The requirements of structural strength, reliability and lifetime of these structures call for a better understanding of the mechanics of fracture in piezoelectric materials under thermal loading. In this paper, the fracture problem of a functionally graded piezoelectric material strip (FGPM strip) containing two cracks (coplanar cracks) perpendicular to its boundaries is considered. The problem is solved for an FGPM strip that is suddenly heated from the bottom surface. The top surface is maintained at the initial temperature. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. By using the Laplace and Fourier transforms, the thermoelectromechanical fracture problem is reduced to a set of singular integral equations, which are solved numerically. The stress intensity factors for the cases of the single crack, the two embedded cracks, two edge cracks, and an embedded and an edge cracks are computed and presented as a function of the normalized time, the nonhomogeneous and geometric parameters.

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Thermoelectromechanical Response of a Piezoelectric Strip with Two Parallel Cracks of Different Lengths

Cited by 12 publications

References 14 publications

SBFEM for fracture analysis of piezoelectric composites under thermal load

SBFEM for fracture analysis of piezoelectric composites under thermal load

Infinite Row of Parallel Cracks in a Functionally Graded Piezoelectric Material Strip Under Mechanical and Transient Thermal Loading Conditions

Normal Cracks in a Functionally Graded Piezoelectric Material Strip Under Transient Thermal Loading

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