Mixed contact problems in plane elasticity. II
The paper continues the considerations in part I [ibid. 2, 207-234 (1983; Zbl 0531.73076)]. Using N. P. Vekua's theory, the index of the singular integral equation system with discontinuous coefficients obtained in part I 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 \(\epsilon^*\)- or \(\epsilon\)-regular solutions requires supplementary conditions, whose number depends on the index of the singular integral equation system.
index of the singular integral equation system with discontinuous coefficients
scientific article; zbMATH DE number 3885476