【摘 要】
：
Thermoelectric materials possess the ability of energy converting due to the intrinsic coupling behavior and logically the thermal stress exists in these ma
【机 构】
：
StateKeyLaboratoryofMechanicsandControlofMechanicalStructures,NanjingUniversityofAeronauticsandAstro
【出 处】
：
The 5th Asian Conference on Mechanics of Functional Material
论文部分内容阅读
Thermoelectric materials possess the ability of energy converting due to the intrinsic coupling behavior and logically the thermal stress exists in these material systems.In the practical applications,the thermal stress can lead to irregular cracking of materials.Consequently,it is esstial to invertigate the thermoelectric field around circular-arc cracks.In the present work,the boundary value problem for circular arcs of discontinuities or curved cracks embedded in an infinite thermoelectricmedium subjected to uniform thermal-electric loads is considered.The crack surface boundary conditions are assumed to be electrically insulated and thermally permeable.By application of the complex variable theory dealing with sectionally holomorphic functions,the present problem is reduced to the solution of the Hilbert problem.Once the general solution in terms of the Plemelj function and Cauchy integrals is known,special boundary problems can be solved with the aid of contour integration.The explicit solutions are given for the cases of a circular-arc crack and two equal symmetric circular arc cracks,respectively.Expressions for the electric flux,energy flux,thermal flux,temperature and electric potential in the vicinity of crack tip are derived for some particular cases,for example,the thermal loading on the crack surface is proportional to trigonometric sines and cosines.
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