Stress State of an Orthotropic Electroelastic Medium with an Arbitrarily Oriented Elliptic Crack Under Uniaxial Tension

The problem of electric and stress state in a piezoelectric space with an arbitrary orientated elliptical crack under homogeneous force and electric loading is considered. The solution to this problem is obtained on the basis of the triple Fourier transformation and the Fourier transform of Green?s function for an infinite electroelastic space. Testing the approach against particular cases confirms its effectiveness. The numerical study is carried out, and the stress intensity factors along the elliptical crack front are studied for different crack orientations in the orthotropic electroelastic space under tension.

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Correspondence to V. S. Kyryliuk.

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Translated from Prikladnaya Mekhanika, Vol. 57, No. 1, pp. 64–74, January–February 2021.

This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).

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Kyryliuk, V.S., Levchuk, O.I. Stress State of an Orthotropic Electroelastic Medium with an Arbitrarily Oriented Elliptic Crack Under Uniaxial Tension. Int Appl Mech 57, 53–62 (2021). https://doi.org/10.1007/s10778-021-01060-y

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Keywords

  • orthotropic piezoelectric material
  • flat elliptical crack
  • arbitrary orientation
  • stress intensity factors