Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear

Shindo, Yasuhide; Tanaka, Kiriha; Narita, Fumio

doi:10.1007/bf01174314

Cited by 118 publications

(38 citation statements)

References 4 publications

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“…In the former case charge-free boundaries are used, whereas in the latter case continuity requirements for the electric field and electric flux density are employed. The permeable crack assumption was demonstrated to be the most appropriate [4,5]. The definition of a failure criterion that correctly mimics the influence of an electric field has also been addressed frequently.…”

Section: Pum-based Multiscale Approach For Mems 967mentioning

confidence: 98%

A partition of unity‐based multiscale approach for modelling fracture in piezoelectric ceramics

Verhoosel

Remmers

Gutiérrez

2009

Numerical Meth Engineering

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SUMMARYThe development of models for a priori assessment of the reliability of micro electromechanical systems is of crucial importance for the further development of such devices. In this contribution a partition of unity-based cohesive zone finite element model is employed to mimic crack nucleation and propagation in a piezoelectric continuum. A multiscale framework to appropriately represent the influence of the microstructure on the response of a miniaturized component is proposed. It is illustrated that using the proposed multiscale method a representative volume element exists. Numerical simulations are performed to demonstrate the constitutive homogenization framework.

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Section: Pum-based Multiscale Approach For Mems 967mentioning

confidence: 98%

A partition of unity‐based multiscale approach for modelling fracture in piezoelectric ceramics

Verhoosel

Remmers

Gutiérrez

2009

Numerical Meth Engineering

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“…For instance, behaviors of a macroscopic crack taking into account effects of applied electric field were elucidated and the fracture mechanics was applied to the crack (Mehta and Virkar 1990;Suo et al 1992;Sosa 1992;Schneider and Heyer 1999;Shindo et al 2001). Then numerical simulation such as finite element method was also performed to deal with macroscopic cracks (Shindo et al 1997(Shindo et al , 2005. The effects of applied electric field on a fatigue crack and fatigue life was also discussed (Cao and Evans 1994;Kamiya 1994, 1998;Shang and Tan 2001).…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, fracture of piezoelectric ceramics has been investigated experimentally and theoretically, and many papers have been published (Mehta and Virkar 1990;Suo et al 1992;Sosa 1992;Schneider and Heyer 1999;Shindo et al 2001Shindo et al , 1997Shindo et al , 2005Cao and Evans 1994;Kamiya 1994, 1998;Shang and Tan 2001;Koh et al 2004;Freiman and White 1995;Busche and Hsia 2001;Ueda 2002;Chen and Hasebe 2005). For instance, behaviors of a macroscopic crack taking into account effects of applied electric field were elucidated and the fracture mechanics was applied to the crack (Mehta and Virkar 1990;Suo et al 1992;Sosa 1992;Schneider and Heyer 1999;Shindo et al 2001).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Internal Damage Evolution of Piezoelectric Ceramics Under Compression-Compression Fatigue Tests

Mizuno

Wakui

2015

Advanced Structured Materials

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A damage evolution equation for piezoelectric ceramics under compression-compression fatigue tests were formulated on the basis of previous experimental results within the framework of the continuum damage mechanics. In the previous experiments, columnar specimens of piezoelectric ceramics were subjected to compression-compression fatigue loading. The fatigue tests were suspended at specified intervals, and the resonance and anti-resonance frequencies and the electrostatic capacity of specimens were measured by an impedance analyzer. The loading and measurement were repeated up to the fatigue fracture. Material properties of piezoelectric ceramic specimens were calculated from the resonance and anti-resonance frequencies and the electrostatic capacity, and the variation of material properties during fatigue tests was elucidated. Development of internal damage within piezoelectric ceramics was evaluated as a damage variable by the variation of elastic coefficient on the basis of the continuum damage mechanics. An evolution equation of the damage variable was formulated by using fatigue life which was formulated as functions of the static fracture strength, the fatigue limit and the mean stress. Prediction of damage development was compared with experimental results and the validity of the formulation was verified.

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“…Therefore, it is important to understand the fracture behavior of piezoelectric materials. In [2][3][4] anti-shear of cracked piezoelectric ceramics strip and in [5,6] cracked piezoelectric composites were investigated.…”

Section: Introductionmentioning

confidence: 99%

Analysis of dynamic stress intensity factor of finite piezoelectric composite plate under a dynamic load

Fotouhi¹,

Khalili²

2016

FME Transaction

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Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear

Cited by 118 publications

References 4 publications

A partition of unity‐based multiscale approach for modelling fracture in piezoelectric ceramics

A partition of unity‐based multiscale approach for modelling fracture in piezoelectric ceramics

Modeling of Internal Damage Evolution of Piezoelectric Ceramics Under Compression-Compression Fatigue Tests

Analysis of dynamic stress intensity factor of finite piezoelectric composite plate under a dynamic load

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