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3 Bulletin of the Polish Academy of Sciences. Technical Sciences

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Energy Release Rate Due to Propagation of Conducting Crack in Elastic Dielectric

Kurlandzka Z.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1999

Vol. 47, nr 1

1-14

Basing on the results published in the earlier papers by the author, an extension of the Irvin criterion for the case of conducting crack, propagating in elastic dielectric influenced by strong electromagnetic field is derived. The criterion includes beside the mechanical stress intensity coefficients, which appear in the purely mechanical case, the electromagnetic stress intensity coefficients and the electric an magnetic field intensity coefficients.

Electromagneto-elastic field in vicinity of tip of conducting crack propagating in dielectric. I. Electromagnetic field and forces

Kurlandzka Z.T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 1

23-39

Distribution of electromagneto-elastic fields, in a vicinity of tip of conducting crack, propagating with a constant velocity in elastic dielectric, is investigated throughout the paper. Description of electromagneto-elastic fields bases here on quasilinear approximation of nonlinear Dixon-Eringen model of elastic dielectric. This part includes general formulation of the problem and construction of local solution for initial boundary problem for Maxwell equations. Basing on the received solution distribution of electromagnetic field and electromagnetic forces acting in a vicinity of the crack tip is investigated. The next part concerns distribution of displacements and mechanical part of stresses generated by the electromagnetic field.

Electromagneto-elastic field in vicinity of tip of conducting crack propagating in dielectric. II. Displacements and mechanical stresses

Kurlandzka Z.T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 1

41-60

Distribution of displacements and mechanical part of stresses generated by electromagnetic field, in a vicinity of a tip of conducting crack propagating in an elastic dielectric, is investigated throughout Part 11 of the paper. Basing on functions, which describe electromagnetic forces determined in Part I, solution of the corresponding initial boundary problem for the Lame equations is constructed. The attention is focused on these parts of the functions, which contribute to the energy release rate due to the crack propagation.