Ostrosablin, N. I. The general solution and reduction to diagonal form of a system of equations of linear isotropic elasticity. (Russian) Zbl 1224.74041 Sib. Zh. Ind. Mat. 12, No. 2, 79-83 (2009). Summary: A simple representation is obtained of the general solution of the Lame system of equations for an isotropic material in the form of a linear combination of the first derivatives of the three functions satisfying three independent wave or harmonic (in the static case) equations. In the two-dimensional case of plane deformation, the found solution directly implies the Kolosov–Muskhelishvili representation of the displacements by two analytic functions of a complex variable. A formula for generation of new solutions is given. Cited in 1 Document MSC: 74G05 Explicit solutions of equilibrium problems in solid mechanics Keywords:linear elasticity; isotropic material; Lame equations; general solution; diagonal system; operator of symmetry PDFBibTeX XMLCite \textit{N. I. Ostrosablin}, Sib. Zh. Ind. Mat. 12, No. 2, 79--83 (2009; Zbl 1224.74041)