Composites Research

  • 제16권5호
  • /
  • Pages.21-27
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  • 2003
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  • 2288-2103(pISSN)
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  • 2288-2111(eISSN)
한국복합재료학회 (The Korean Society for Composite Materials)
권호 표지

균열이 있는 기능경사 압전 세라믹의 충격 특성에 관한 연구

Transient Response of Functionally Graded Piezoelectric Ceramic with Crack

  • 발행 : 2003.10.01
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⟨ 이전 논문 다음 논문 ⟩

초록

선형 압전 이론(theory of linear piezoelectricity)을 이용하여 면외전단 충격(anti-plane shear impact)을 받는 기능경사 압전 세라믹(functionally graded piezoelectric ceramic)의 중앙에 존재하는 균열(central crack)의 동적 응답에 대해 연구한다. 기능경사 압전재료의 물성치(material property)는 두께방향을 따라 연속적으로 변한다고 가정한다. 라플라스 변환(Laplace transform)과 푸리에 변환(Fourier transform)을 사용하여 두 쌍의 복합적분 방정식을 구성하며, 이를 제2종 Fredholm 적분 방정식(Fredholm integral equations of the second kind)으로 표현한다. 재료 물성치의 변화도(gradient of material properties)와 전기하중(electric loading)의 영향을 보기 위해 동응력세기계수(dynamic stress intensity factor)에 대한 수치 결과를 제시하였다.

Using the theory of linear piezoelectricity, the dynamic response of a central crack in a functionally graded piezoelectric ceramic under anti-plane shear impact is analyzed. We assume that the properties of the functionally graded piezoelectric material vary continuously along the thickness. By using the Laplace and Fourier transform, the problem is reduced to two pairs of dual integral equations and then into Fredholm integral equations of the second kind. Numerical values on the dynamic stress intensity factors are presented to show the dependence of the gradient of material properties and electric loading.

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참고문헌

  1. Mechanical Modeling of New Electromagnetic Materials Dynamic Analysis of a Piezoelectric Material Y.Shindo;E.Ozawa;R.K.T.Hsieh(ed.)
  2. International Journal of fracture v.85 Anti-plane Dynamic Fracture Mechanics in Piezoelectric Materials Z.T.Chen;S.W.Yu
  3. Acta Mechanica v.116 Axisymmetric Vibration of Piezo-composite Hollow Circular Cylinder H.S.Paul;V.K.Nelson https://doi.org/10.1007/BF01171431
  4. International Journal of Solids and Structures v.32 Dynamic Representation Formulas and Fundamental Solutions for Piezoelectricity N.M.Khutoryansky;H.Sosa https://doi.org/10.1016/0020-7683(94)00308-J
  5. Acta Mechanica v.117 Dynamic Stress Intensity Factor of a Cracked Dielectric Medium in a Uniform Electric Field Y.Shindo;H.Katsura;W.Yan https://doi.org/10.1007/BF01181032
  6. Journal of the Mechanics and Physics of Solids v.44 no.11 Dynamic crack propagation in piezoelectric materials - part Ⅰ. electrode solution S.Li;P.A.Mataga https://doi.org/10.1016/0022-5096(96)00055-5
  7. Journal of the Mechanics and Physics of Solids v.44 no.11 Dynamic crack propagation in piezoelectric materials - part Ⅱ. vacuum solution S.Li;P.A.Mataga https://doi.org/10.1016/0022-5096(96)00056-7
  8. Mechanics Research Communications v.25 Crack tip field of an infinite piezoelectric strip under anti-plane impact Z.T.Chen https://doi.org/10.1016/S0093-6413(98)00043-3
  9. Journal of The Korean Society for Composite Materials v.15 no.4 The Crack Problem for Functionally Graded Piezoelectric Ceramic Strip J.W.Shin;S.C.Kim
  10. Acta Astronautica v.3 Fracture Mechanics of Piezoelectric Materials V.Z.Parton https://doi.org/10.1016/0094-5765(76)90105-3
  11. Journal of Applied Physics v.71 Mode Ⅲ Cracks in Piezoelectric Materials T.Y.Zhang;J.E.Hack https://doi.org/10.1063/1.350483
  12. Engineering Fracture Mechanics v.47 A New Electric Boundary Condition of Electric Fracture Mechanics T.H.Hao;Z.T.Shen https://doi.org/10.1016/0013-7944(94)90059-0
  13. Ph. D. Thesis, Stanford University The Analysis of Dislocation, Crack, and Inclusion Problems in piezoeletric Solids W.F.Deeg
  14. International Journal of Solids and Structures v.29 On the Fracture Mechanics of Piezoelectric Solids H.Sosa https://doi.org/10.1016/0020-7683(92)90225-I
  15. International Journal of Fracture v.54 Linear Electroelastic Fracture Mechanics of Piezoelectric Materials Y.E.Pak https://doi.org/10.1007/BF00040857
  16. Materials Science and Engineering v.A231 Influence of Applied Electric Field and Mechanical Boundary Condition on the Stress Distribution at the Crack Tip in Piezoelectric Materials S.Kumar
  17. International Journal of Solids and Structures v.38 On a plane crack in piezoelectric solids X.L.Xu;R.K.N.D.Rajapakse https://doi.org/10.1016/S0020-7683(01)00029-4
  18. ASME, Journal of Applied Mechanics v.52 The crack problem for bonded nonhomogeneous materials under antiplane shear loading F.Erdogan https://doi.org/10.1115/1.3169153
  19. SIAM Journal on Numerical Analysis v.3 Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials M.K.Miller;W.T.Guy https://doi.org/10.1137/0703055