On the theory of elasticity of inhomogeneous media: PMM, vol. 35, n≗ 5, 1971, pp. 853–860

摘要: The general solution is obtained of the equilibrium equations in displacements for inhomogeneous isotropie media, whose elastic characteristics are differentiable functions of the Cartesian coordinates. It is shown that the components of the displacement vector in the three-dimensional problem of elasticity theory can always be expressed in terms of two functions which satisfy second and fourth order linear partial differential equations, respectively. Of the earlier research devoted to analogous problems, the paper [1] should …