On the creep buckling of shells
| Autor: | Yu.V. Lipovtsev, E.I. Grigoliuk |
|---|---|
| Rok vydání: | 1969 |
| Předmět: |
Materials science
Differential equation Applied Mathematics Mechanical Engineering Mechanics Condensed Matter Physics Curvature Instability Nonlinear system Classical mechanics Creep Buckling Mechanics of Materials Deflection (engineering) Modeling and Simulation General Materials Science Axial symmetry |
| Zdroj: | International Journal of Solids and Structures. 5:155-173 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/0020-7683(69)90026-2 |
| Popis: | In the present work the buckling of shells is considered in which the material exhibits the property of creep. The authors suppose that after loading the shell does not lose stability. Under the action of load the shell is bending. It takes place during time of change of shell curvature and internal forces at the expense of original deflection and deformation of creep of material. This process of development leads during the time to the instability of initial form of equilibrium. In this way critical time is determined. At first the authors find the stress and strain state of the shell before buckling, and then investigate the possibility of change of the equilibrium form. It is given physical and geometrical nonlinear formulation of the task; for prebuckling state physical correlation are linearized. Nonlinear system of differential equation, which describes the state of the shell before buckling, is solved by step method. A system of differential equation, which describes neutral equilibrium, is linear. Total theory is illustrated for the case of an axially compressed circular cylindrical shell and for the case of a line radially compressed load on a circular cylindrical shell. Essentially, Bubnov's method is used here. Note that in the first task the critical time is finite and it corresponds to the time of the initial transition of the axisymmetrical form of the shell in unsymmetrical form. |
| Databáze: | OpenAIRE |
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