Modeling Solutions of Axisymmetric Contact Problems Using Dimensionality Reduction Method with or without Adhesion

Abstract

Axisymmetric contact problems of rigid bodies with elastomeric semi three-dimensional environment have been studied. It has been shown that three-dimensional contact problems with or without adhesion can be mapped with the dimensionality reduction method as one-dimensional problems with minimum error. The efficiency of the method has been illustrated by numerical calculations of practical problems. This also confirms the correctness of the analytical estimators.