The planar crack problem for a dielectric medium in a uniform electric field

• Autorzy: Shindo, Y. , Narita, F.
• Języki publikacji: EN

Abstrakty

EN

The theory for dielectric materials is applied to solve the planar problem of a Griffith crack in an infinite isotropic dielectric body subjected to a far-field tension and a uniform electric field. Fourier transforms are used to reduce the mixed boundary value problem to two simultaneous dual integral equations. The integral equations are then solved exactly, and the stress intensity factor and energy release rate under Mode I and Mode II loadings are expressed in closed form.

Słowa kluczowe

PL

ciało dielektryczne; płaskie pęknięcie; jednorodne pole elektryczne; transformata Fouriera; współczynnik intensywności naprężeń; jednostkowa energia pęknięcia; mode I obciążenia; mode II obciążenia; normalne rozwarcie szczeliny; poprzeczne ścinanie

EN

dielectric body; planar crack; Griffith crack; uniform electric field; Fourier transforms; stress intensity factor; energy release rate; mode I loading; mode II loading

• Czasopismo: Archives of Mechanics
• Rocznik: 2004
• Tom: Vol. 56, nr 6
• Strony: 447-463
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Shindo, Y.

• Department of Materials Processing, Graduate School of Engineering, Tohoku University, Aoba-yama 6-6-02, Sendai 980-8579, Japan

autor

Narita, F.

• Department of Materials Processing, Graduate School of Engineering, Tohoku University, Aoba-yama 6-6-02, Sendai 980-8579, Japan

Bibliografia

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• 2. R. A. Toupin, The elastic dielectric, J. Rat. Mech. Anal., 5, 849–915, 1956.
• 3. Z. T. Kurlandzka, Influence of electrostatic field on crack propagation in elastic dielectric, Bull. Acad. Pol. Sci., Ser. Sci. Techn., 23, 333–339, 1975.
• 4. Y. E. Pak, G. Herrmann, Conservation laws and the material momentum tensor for the elastic dielectric, Int. J. Eng. Sci., 24, 1365–1374, 1986.
• 5. Y. E. Pak, G. Herrmann, Crack extension force in a dielectric medium, Int. J. Eng. Sci., 24, 1375–1388, 1986.
• 6. Y. Shindo, H. Katsura, W. Yan, Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field, Acta Mechanica, 117, 1–10, 1996.