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Theoretical analysis of two collinear cracks subject to the quadratic thermo-magneto-electro-elastic loading
  • Bing Wu,
  • Daren Peng,
  • Rhys Jones
Bing Wu
Hebei University
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Daren Peng
Monash University

Corresponding Author:[email protected]

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Rhys Jones
Monash University
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Abstract

The problem of two collinear cracks subject to the quadratic thermo-magneto-electro-elastic loading is addressed in this paper. Taking advantage of the permeable crack models, the Fourier transform and superposition theorem, the exact solutions of physical quantities around two collinear cracks are obtained. It is shown that the effects of the dimensionless quantities between the upper and below crack-face (i.e., h_c ϵ_r and μ_r) on physical quantities of crack-face (i.e., Q_c, B_c , D_c , K_(ϕ^(*+))^Inn, K_(ϕ^(*+))^Out, K_(φ^(*+))^Inn and K_(φ^(*+))^Out)) in numerical results. It should be emphasized that because the theoretical solution obtained in this paper has an explicit form, it is convenient to solve the stress intensity factor. In particular, it is very convenient to solve the influence of various physical quantities on the stress intensity factor of the crack tip. It has more advantages than the numerical method.