โ Scribed by V.P. Matveyenko; I.Ye. Troyanovskii; G.S. Tsaplina
No coin nor oath required. For personal study only.
New forms of writing well-known elasticity problems are proposed which enable algorithms to be obtained for constructing solutions in the form of series in powers of the elasticity constants. In particular, for a homogeneous isotropie body, the solutions are constructed in the form of series in powers of the Iryushin parameter co and the bulk modulus, while for a piecewise-homogeneous body, consisting of two materials, the solutions are constructed in the form of series in powers of ~ and ~. Applications of the forms of the solution ol:tained to problems of viscoelasticity are considered.
๐ SIMILAR VOLUMES
Methods of approximating weak solutions of certain boundary-value problems in the theory of elasticity are proposed based on expanding the approximate solution in a finite series in basis functions which identically satisfy a homogeneous differential equation in the domain. The coefficients of the e