Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Piezoelectric Materials

직교이방성 압전재료에서 전파 하는 모드 III 균열의 응력장과 변위장

  • Lee, Kwang-Ho (Dept. of Mechanical and Automotive Engineering, Kyungpook Nat'l Univ.)
  • 이광호 (경북대학교 기계자동차공학부)
  • Received : 2009.10.22
  • Accepted : 2010.04.05
  • Published : 2010.06.01
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Abstract

The stress and displacement fields of a permeable propagating crack in orthotropic piezoelectric materials under anti-plane shear mechanical load and in-plane electric load are analyzed. The equations of motion for the propagating crack in piezoelectric materials are developed and the solution on the stress and the displacement fields through an asymptotic analysis was obtained. The influences of the piezoelectric constant and of the dielectric permittivity on the stress and displacement fields at the crack tip are explicitly clarified. Using the stress and displacement fields obtained in this study, the characteristics of stress and displacement at a propagating crack tip in piezoelectric materials are discussed.

면외평면전단하중과 면내전기하중을 받는 직교이방성 압전재료에서 전기투과형 전파균열장을 해석하였다. 압전재료에서 전파하는 균열의 운동방정식이 유도되었으며 근접해법을 통하여 응력장과 변위장의 해를 얻었다. 압전상수 및 유전율 등이 균열선단의 응력장과 변위장에 미치는 영향을 명확히 나타내었다. 본 연구에서 유도된 응력장과 변위장을 사용하여 압전재료에서 전파하는 균열선단부근의 응력과 변위의 특성에 대하여 논의하였다.

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References

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