Mixed contact problems in plane elasticity II

Abstract

The paper continues the considerations in the previous one [2] of the author. Using N. P. Vekua’s theory, the index of the singular integral equation system with discontinuous coefficients obtained in [2] is calculated. By establishing some corollaries from the theory of Vekua, the calculations can be simplified. Furthermore, the existence of a *-regular solution of the contact problem is proved, provided that the necessary physical conditions are fulfilled. The existence of ${\epsilon }^{\ast }$- or $\epsilon$-regular solutions requires supplementary conditions, whose number depends on the index of the singular integral equation system.