The stability of a finitely inflated cylindrical elastic membrane under axial compression
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Research context
OpenAlex topics: Elasticity and Material Modeling · Structural Analysis and Optimization · Vibration and Dynamic Analysis
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References (10)
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3. Shield, R. T., On the stability of linear continuous systems. Z. angew. Math. Phys. 16 (1965) 649?686.10.1007/BF01590967 ↗
4. Corneliussen, A. H. and Shield, R. T., Finite deformation of elastic membranes with application to the stability of an inflated and extended tube. Arch. Rat. Mech. Anal. 7 (1961) 273?304.10.1007/BF00250766 ↗
5. Shield, R. T., On the stability of finitely deformed elastic membranes. Part II: Stability of inflated cylindrical and spherical membranes. Z. angew. Math. Phys. 23 (1972) 16?34.10.1007/BF01593199 ↗
6. Shield, R. T., On the stability of finitely deformed elastic membranes. Part I: Stability of a uniformly deformed plane membrane. Z. angew. Math. Phys. 22 (1971) 1016?1028.10.1007/BF01590870 ↗
7. Harth-Smith, L. J., Elasticity parameters for finite deformation of rubberlike materials. Z. angew. Math. Phys. 17 (1966) 608?626.10.1007/BF01597242 ↗
8. Haringx, J. A., Instability of thin-walled cylinders subjected to internal pressure. Phillips Res. Rep. 7 (1952) 112?118.
9. Flügge, W., Stresses in Shells, 2nd Ed. Springer, New York etc. 1973.10.1007/978-3-642-88291-3 ↗
10. Chen, L-Y., On the vibration and stability of finitely inflated spherical and cylindrical elastic membranes. Ph.D. thesis, University of Illinois at Urbana-Champaign, Urbana 1975.10.1007/BF00126997 ↗