Plane Problem Of Elasticity Theory Research Articles

Some contact problems for an elastic infinite wedge: PMM vol. 36, n≗1, 1972, pp. 157–163

Non-self-balanced homogeneous solutions of the mixed plane problem of elasticity theory for and infinite wedge − α ⩽ θ ⩽ α, 0 ⩽ r ⩽ ∞, one part of whose boundary θ= ± α, 0 ⩽ r ⩽ 1 is under the conditions of sliding constraint and the other is stress-free, are constructed and investigated. The solutions are of independent interest since they determined the state of stress of a wedge (a wedgelike strip in an elastic plane) on which a load equivalent to a longitudinal force P, a transverse force Q and a moment M (see Fig. 1) acts through a stiff yoke (a wedgelike stamp). Together with the statically balanced homogeneous solutions, they form a system of functions needed to solve mixed problems for elastic finite sectorial domains by the method elucidated in [1].

Boundary value problems of the theory of shallow shells: PMM vol. 34, n≗2, 1970, pp. 258–269

The boundary value problems of shallow shells theory can provisionally be separated into two kinds, internal (analysis of domes, beamless ceilings), and external boundary value problems (analysis of shells weakend by holes, i.e. problems of stress concentration). Both these directions have extensive bibliographies (see [1], say). Given below is a formulation of the fundamental boundary value problems from rather unique positions, similar in idea to the Koslov-Muskhelishvili conceptions in the plane problem of elasticity theory. Representations of the solutions of the boundary value problems are written down in series for simply and multiply connected domains.

The solution of the plane problem of elasticity theory for arbitrary body forces

The solution of the plane problem of elasticity theory for arbitrary body forces