COMPUTER SIMULATION IN THE MATHCAD PACKAGE OF PLASTIC DEFORMATION OF THE DEPOSITED LAYER ON THE FLAT SURFACE OF THE PART

摘要

The one-dimensional problem of plastic deformation of the deposited layer on a flat surface was studied when a cylindrical roller was rolled in, including the Coulomb friction law on the contact surface. The equation of state of the material is selected on the basis of the theory of creep (hardening theory). An application program was developed in the mathematical editor Mathcad for the numerical analysis of a non-linear one-dimensional problem. In the course of computer simulation and subsequent experimental checks, it has been established that the stress-strain state in the deformation zone significantly depends on magnitude and on the friction coefficient on the surface of contact of the material with the roller. According to the results of computer simulation and field experiments, a method for calculating the deposited layer was proposed. The given technique can be used to determine the parameters of the technological process during the restoration of flat surfaces. The article demonstrates with a specific example that, since every year the interest of various enterprises in the mathematical modeling of technological processes of metal processing grows much faster than various databases of material properties are filled in specialized packages such as JMatPro, Forge, Finel, Abaqus, LS Dyna, Deform required for calculations and obtaining adequate results, modeling the properties of materials in such common programs as, for example, MathCad, can be an excellent solution for enterprises that do not have the opportunity to engage in expensive experimental research. It is shown that the solutions proposed in the article for the MathCad package that implement the mathematical model of plastic deformation of the deposited layer allows studying the processes of plastic deformation for a user who does not have programming experience and work with numerical methods for solving systems of ordinary differential equations.