Stateczność Grubościennej Rury Obciążonej Ciśnieniem Zewnętrznym
The problem is that of stability of a. thick-walled tube under nonhomogeneous deformation produced by hydraulic pressure. The material is assumed to be elastic, homogeneous, isotropic and incompressible. The total strain is divided into two parts: finite initial and small additional part. The incomp...
| Published in: | Engineering Transactions |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research Polish Academy of Sciences
1967-06-01
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| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2686 |
| Summary: | The problem is that of stability of a. thick-walled tube under nonhomogeneous deformation produced by hydraulic pressure. The material is assumed to be elastic, homogeneous, isotropic and incompressible.
The total strain is divided into two parts: finite initial and small additional part. The incompressibility conditions and the equilibrium equations constitute a set of four homogeneous linear differential equations with homogeneous boundary conditions. Further considerations are confined to the case of plane strain and the Mooney material. By separating the variables a single ordinary differential equation of the fourth order is obtained. The problem of stability loss is reduced to that of eigenyalues of a differential equation. As an illustration numerical computation is done for fixed values of the parameters α and λ. The deformation assumed corresponds to two different "critical thicknesses" of the tube.
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| ISSN: | 0867-888X 2450-8071 |