Within the context of finite, compressible, isotropic elasticity, a family of solutions describing plane strain cylindrical inflation of cylindrical shells is obtained for a class of materials that includes both the harmonic and Varga materials. Additionally it is shown that the class of materials c
The stability of a finitely inflated cylindrical elastic membrane under axial compression
β Scribed by L-Y. Chen; R. T. Shield
- Publisher
- Springer Netherlands
- Year
- 1975
- Tongue
- English
- Weight
- 669 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0374-3535
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β¦ Synopsis
The stability under overall axial compression of a finitely inflated cylindrical membrane composed of highly elastic material is investigated. The critical loads for inflated tubes with closed ends and with either simplysupported or fixed ends are determined in terms of the material properties of the membrane. For long tubes the results are compared with the Euler formulae for the buckling load for struts in compression. An "equivalent Young's modulus" is derived, and it is shown that the critical loads can be obtained from the Euler formulae by using the dimensions of the inflated state and the equivalent Young's modulus.
π SIMILAR VOLUMES
We provide a simple proof of the bifurcation criteria for a membrane cylinder subjected to combined axial loading and internal pressure. Three modes of bifurcation are discussed: a prismatic mode, a bulging mode and a composite mode. The bulging mode of bifurcation is further exploited in the contex