Calculation Modeling And Algorithm Of Sample Temperature Distribution Under Laser Irradiation

Laser processing refers to irradiating the surface of an object with a laser beam,i.e.,cutting and melting the object with the high thermal energy of the laser,so that the characteristics of the object's surface are changed.Laser processing is a kind of processing without any contact with the object,which also means that there will be no friction with the surface of the object.Compared with traditional machining and EDM,laser processing has the advantage of faster processing speed.What's more,there will be no noise during processing due to the relatively small heat-affected area of the processed object.The irradiation energy of the laser beam and the moving speed on the object can be flexibly adjusted according to the needs of the current environment,so the application field of laser processing is wide.This article discusses the problem model of three-dimensional heat conduction in laser processing.In order to simplify the problem,the temperature distribution in the material has nothing to do with the angle after the laser irradiates the material.Under normal circumstances,everyone solves the problem model directly in a rectangular coordinate system,which will not only lead to a larger workload,but also the running time and space of MATLAB are longer.In order to reduce the workload and improve efficiency,we deal with the model as follows:1.By converting the model in Cartesian coordinates to the model in cylindrical coordinates and considering the fact that the temperature distribution has nothing to do with the angle,the three-dimensional problem can be transformed into a twodimensional problem.2.Use the backward Euler of ADI method and Crank-Nicolson of ADI method to discretize the model in cylindrical coordinates.3.The accuracy of the algorithm is verified through the example of the first type of boundary,and the simulation of the two methods in the laser processing problem is shown through the example of the third type of boundary.The results are compared with that obtained from the PDETOOL of MATLAB under the same environmental parameters.The conversion of the three-dimensional problem under rectangular coordinates to the two-dimensional problem under cylindrical coordinates not only does not reduce the accuracy of the results,but also greatly reduces the time for processing the model and improves the efficiency.It saves space and improves time utilization in MATLAB.Both the backward Euler method and Crank-Nicolson method are classic algorithms,and combined with the unconditionally stable ADI method,the algorithm is icing on the cake and the result is more accurate.