Study Of The Voronoi Based Peridynamic Bond Theory And Thermoelectric Coupling Theory

The efficient thermoelectric device is the core technology in the thermoelectric power generation, and the accurate simulation of the thermoelectric coupling effect is the key in the design of thermoelectric device, hence many researchers did a great quantity of work and made a great progress. But as so far, in macro level, the numerical method is mainly focused on the finite element method that is based on the traditional continuum mechanics. However, this method is very good at dealing with the continuum problem but will get in trouble with the discontinues such as the crack that may be occurred in thermoelectric device.Hence, the thermoelectric effect, which is mainly concerned in the design of the device, is analyzed in Peridynamic. The main research content is as follows.1. To deal with the boundary effect in Peridynamic, a Voronoi based bond in Peridynamic is firstly proposed in this thesis, and a simple example is carried out. The results indicated that this new method can deal well with the boundary and break the limit of Possion ratio in traditional bond based Peridynamic.2. Enlightened by the Voronoi based bond in solid mechanic field, a new bond theory that contains the Seebeck effect and the Peltier effect is build, and the Peridynamic thermoelectric coupling theory contains the thermoelectric effect is proposed, combined with the Gauss theorem. Then, the method to deal with different boundary condition in thermoelectric coupling field is given, in Peridynamic.3. The numerical format of thermoelectric coupling analyze is derived detailedly, a method based on system matrix is set up, and the handling method of different boundary in numerical format is given. The accuracy of the Peridynamic thermoelectric coupling theory and the numerical method is verified with an example.4. The thermoelectric conversion efficiency of a thermoelectric devise is simulated in the above numerical method, and the influence law of the geometry characteristic and crack on the efficiency is analyzed. For perfect thermoelectric device, the efficiency mainly depends on the ratio of the cross section of the semiconductor materials and the top conducting strips.