Transactions of Nanjing University of Aeronautics & Astronautics
Exact 3D Thermoelastic Solutions for a Penny-Shaped Crack in an Infinite Magnetoelectric Medium
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Abstract:
Exact solutions of three-dimensional (3D) crack problems are much less in number than those of two-dimensional ones, especially for multi-field coupling media exhibiting a certain kind of material anisotropy. An exact 3D thermoelastic solution has been reported for a uniformly heated penny-shaped crack in an infinite magnetoelectric space, with impermeable electromagnetic conditions assumed on the crack faces. Exact 3D solutions for the penny-shaped crack subjected to uniform or point temperature load are further presented here when the crack faces are electrically and magnetically permeable. The solutions, obtained by the potential theory method, are exact in the sense that all field variables are explicitly derived and expressed in terms of elementary functions. Along with the previously reported solution, the limits or bounds of the stress intensity factor at the crack-tip for a practical crack can be identified.
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This work was supported by the National Natural Science Foundation of China (11321202) and the Specialized Research Fund for the Doctoral Program of Higher Education (2013010 1110120).
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