EFFECTIVE SOLUTION OF A CLASS OF BOUNDARY VALUE PROBLEMS OF THERMOELASTICITY IN GENERALIZED CYLINDRICAL COORDINATES

Abstract. A class of static boundary value problems of thermoelasticity is effectively solved for bodies bounded by coordinate surfaces of generalized cylindrical coordinates ρ, α, z (ρ, α are orthogonal curvilinear coordinates on the plane and z is a linear coordinate). Besides in the Cartesian system of coordinates some boundary value thermoelasticity problems are separately considered for a rectangular parallelepiped. An elastic body occupying the domain Ω = {ρ0 < ρ < ρ1, α0 < α < α1, 0 < z < z1}, is considered to be weakly transversally isotropic (the medium is weakly transversally isotropic if its nine elastic and thermal characteristics are correlated by one or several conditions) and non-homogeneous with respect to z