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- W2091929961 abstract "The shape of the hole outline in a plate and the law of stiffness variation of a reinforcing momentless rod are sought from the condition of the minimum total elastic strain energy of the plate and the reinforcement. The area enclosed by the outline of the cutout, and the magnitude of the volume of the reinforcing element are considered given. The boundary conditions of the problem are obtained by varying the functional related to the elastic strain energy in domains with moving boundaries. The solution is constructed in the form of an expansion in-terms of a small parameter, for which the parameter of nonsymmetry of the load is taken. The solution obtained in this manner differs substantially from the solution obtained in /1/. The problem of logical reinforcement of a hole outline in a plane state of stress has been investigated by many authors. The bending stiffness of the reinforcing element concentrated at the hole outline can be neglected and considered a momentless rod. Certain estimates of the error hence induced are presented in /1–4/, for instance. Reinforcement of an outline of given shape (circle, ellipse) by an elastic momentless rod has been investigated in /4–11/. It is shown that a decrease in the stress concentration in the plate can be achieved because of the appropriately selected variable of the section area of the reinforcing rod. Not only the law of variation of the rod section area is sought in the problem of equivalent reinforcement /1/, but also the shape of the cutout for which the same state of stress is conserved outside the reinforcement as exists for a plate without a hole. The solution of this problem exists in a limited band of load relationships, and the volume occupied by the reinforcement exceeds the part removed for the formation of the cutout by several times, as a rule." @default.
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- W2091929961 date "1980-01-01" @default.
- W2091929961 modified "2023-10-14" @default.
- W2091929961 title "On the problem of reinforcement of the hole outline in a plate by a momentless elastic rod" @default.
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- W2091929961 doi "https://doi.org/10.1016/0021-8928(80)90066-0" @default.
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