Control of thermal stress intensity factor in a piezothermoelastic semi-infinite body with an edge crack. (English) Zbl 1069.74039
Summary: We study a surface-breaking crack in a piezothermoelastic body due to a sudden thermal load. An analytical model is a two-dimensional piezothermoelastic semi-infinite body with an edge crack subjected to a sudden temperature change and to an electric displacement to compensate its effect. The transient field is obtained by a potential method and Laplace transform. The problem is reduced to a singular integral equation, from which the stress intensity factor of the crack is obtained. Using numerical examples, the control of the stress intensity factor by applying electric displacement is suggested.
MSC:
| 74M05 | Control, switches and devices (“smart materials”) in solid mechanics |
| 74H35 | Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics |
| 74F15 | Electromagnetic effects in solid mechanics |
| 74F05 | Thermal effects in solid mechanics |
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