The problem of the reinforcement of a plate with a cutout by a two-dimensional patch
✍ Scribed by A.Yu. Zemlyanova; V.V. Sil’vestrov
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 415 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0021-8928
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✦ Synopsis
The problem of the reinforcement of an elastic plate with a cutout by means of a two-dimensional patch, which completely covers the cutout and is rigidly fixed to the plate along its boundary, is considered. The cutout and the patch can be of arbitrary shape. The problem is reduced to a system of three singular integral equations using of special integral representations which describe the stress state in the plate and in the patch. The unique solvability of the system is proved. Examples are presented.
📜 SIMILAR VOLUMES
The problem of the equilibrium of a non-linear plate reinforced with stiffeners is considered. The idea of a generalized solution of the problem as a critical point of the energy functional of an elastic system is introduced and the existence of a generalized solution of the problem is proved. The c
The problem of reinforcing an infinite thin elastic plate with a circular cut-out by means of a concentric circular patch attached to the plate so that the circumferences of the cut-out and the patch overlap is solved. The stress state in the plate and in the patch, generated by stresses at infinity