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STRESS FIELD AROUND CRACK TIPS IN A THIN CURRENT-CARRYING PLATE

HU Yuda

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Abstract

The crack arresting problem in a thin current carrying plate was studied for the situation of providing a DC current perpendicularly toward the crack direction. When the boundary conditions of electromagnetic quantities are satisfied, according to Maxwell field equation the expression for Joule heat resource power can be obtained. Making solution for heat conduct equation, the calculating formulas for the temperature field and stress field around crack tips are provided and a calculated sample is given too. Thus, it shows that attributing to the Joule heat source provided by the electric current, the temperature around crack tips will grows up and with the joint action of the compressive stresses the crack arresting could be expected at last.

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What this paper is about

The crack arresting problem in a thin current carrying plate was studied for the situation of providing a DC current perpendicularly toward the crack direction. When the boundary conditions of electromagnetic quantities are satisfied, according to Maxwell field equation the expression for Joule heat resource power can be obtained. Making solution for heat conduct equation, the calculating formulas for the temperature field and stress field around crack tips are provided and a calculated sample is given too. Thus, it shows that attributing to the Joule heat source provided by the electric current, the temperature around crack tips will grows up and with the joint action of the compressive stresses the crack arresting could be expected at last.

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Available abstract

The crack arresting problem in a thin current carrying plate was studied for the situation of providing a DC current perpendicularly toward the crack direction. When the boundary conditions of electromagnetic quantities are satisfied, according to Maxwell field equation the expression for Joule heat resource power can be obtained. Making solution for heat conduct equation, the calculating formulas for the temperature field and stress field around crack tips are provided and a calculated sample is given too. Thus, it shows that attributing to the Joule heat source provided by the electric current, the temperature around crack tips will grows up and with the joint action of the compressive stresses the crack arresting could be expected at last.

Key concepts: Joule heating, Current (fluid), Mechanics, Materials science, Perpendicular, Stress (linguistics), Boundary value problem, Heat equation

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