Levan Giorgashvili, Ketevan Skhvitaridze

Problems of Statics of Two-Component Elastic Mixtures

A general representation of solutions by six harmonic functions is obtained for a system of homogeneous equations of statics of two-component mixtures. The problems are investigated when the normal components of partial displacement vectors and the tangent components of partial rotation vectors are given on the boundary. Uniqueness theorems are proved. Solutions are obtained in terms of absolutely and uniformly convergent series.

Theory of elasticity, theory of mixtures, Green formulas, regular functions.

MSC 2000: 35J55, 74H420, 74H25