A complex approach to solving the problem of interaction between a rigid double-connected punch and an elastic half-space

Abstract

The paper presents an integrated approach based on the principles of system anal-ysis for solving contact problems. We consider the problems of pressing rigid plane sin-gle- and double-connected punches in the form of a non-circular ring into a homogene-ous and isotropic elastic half-space. To obtain an analytical solution, we apply a method based on the use of the development of the simple layer potential for regions close to the ring. Software was developed using C++ to visualize and analyze the results. Finite-element models to reproduce the interaction of a rigid punch with an elastic half-space are built in the ANSYS software environment. An important step is to verify the adequacy of the models, which is carried out, among other things, by comparing the numerical re-sults with the analytical ones. A satisfactory agreement of the numerical modeling results with the analytical ones obtained earlier was achieved. If the punch-elastic half-space system is exposed to difficult natural conditions or an aggressive environment during a certain time of modeling, possible accidental damage or damage that occurs according to a certain law, such as corrosion, is taken into account. That is, under such conditions, the dimensions of the contact zones may change over time and become unknown. A nu-merical base for calculating the punch-elastic half-space system is created for various shapes of punch cross-sections, combining them into special groups. The CLIPS software tool was used to develop and maintain the expert system. The calculation base is trans-ferred to it using a specially created C++ software application. Based on a set of rules and knowledge that have been created and used to solve specific problems, the decision-making process is automated. For each individual computer model, data sets are calcu-lated - normal and tangential stresses at certain points. The cross-sectional shape of the punch is identified in accordance with the criteria defined in the knowledge base. The process of generating the cross-sectional shape of the punch is performed using specially developed software in OpenGL. The cubic spline interpolation is used as a mathematical tool.