A Study Of The Force-Thermal-Electric Field Near The Interface Crack Of A Thermoelectric Double Material

With the rapid development of science and technology,the world change rapidly,the rapid progress of the economy,at the same time with the increasing scarcity of primary energy(such as oil,coal and natural gas)and the aggravation of environmental destruction,a new environment-friendly energy material--thermoelectric material has attracted much attention.Thermoelectric material is a kind of functional material can realize the direct conversion of thermal energy and electric energy,thus it have extremely broad application prospect.In practical engineering application,in order to improve the comprehensive performance of thermoelectric material,not only satisfied with the devices which is manufactured with a single thermoelectric material,in more case,two or even a variety of thermoelectric materials will be considered simultaneously,when a variety of thermoelectric materials are used together,cracks or inclusions may occur between the materials due to environmental factors or stress,therefore,it is of great theoretical significance and engineering significance to study the forcethermal-electricity field near the interface crack in thermoelectric materials.The physical model considered in this paper is a thermoelectric bi-material thin plate with interface crack,the initial load are current flow and energy flow,because the length of the crack is very small relative to the whole plate,it is considered that the plane plate with interface crack is infinite,and assume that the crack is insulated and adiabatic and impenetrable,then,based on the basic theory of thermoelectric materials,combined with thermoelastic mechanics,complex function analytic method about plane problem,Hilbert boundary value problem,Cauchy integral formula,studied the forcethermal-electricity field near the interface crack.The main contents are: combining the boundary conditions and initial conditions of the crack surface and continuum surface,obtain the analytical solution of temperature,potential,current and energy flow in thermoelectric bi-material with interface crack,then combined with drawing software,obtain the distribution situation of temperature,potential,electric current and energy flow in the thermoelectric bi-material,the change situation of the extreme value of the temperature and potential with the size of the crack;the change situation of the crack tip electric current and energy flow with the size of the crack and the initial current flow and energy flow,and visualize the graphics.Combining the displacement and stress boundary conditions and the single value condition,obtain the analytical solution of the displacement and stress near the crack in the thermoelectric bi-material,then through the stress intensity factor at the crack tip,analysis the fatigue resistance and how to improve the mechanical properties of the material.The features of this paper: The solution method and the general solution obtained in this paper can be used as an effective tool to accurately study the electric current,energy flow,displacement and stress field distribution,and energy conversion efficiency of thermoelectric bi-material with interfacial cracks,it provides an important reference for other related researchers.