References
- Horgan, C. O.; Saccomandi, G. Phenomenological Hyperelastic Strain-Stiffening Constitutive Models for Rubber. Rubber Chem. Technol. 2006, 79(1), 152–169. DOI: 10.5254/1.3547924.
- Fu, Y.; Pearce, S.; Liu, K.-K. Post-Bifurcation Analysis of a Thin-Walled Hyperelastic Tube Under Inflation. Int. J. Non-Linear Mech. 2008, 43(8), 697–706. DOI: 10.1016/j.ijnonlinmec.2008.03.003.
- Ye, Y.; Liu, Y.; Fu, Y. Weakly Nonlinear Analysis of Localized Bulging of an Inflated Hyperelastic Tube of Arbitrary Wall Thickness. J. Mech. Phys. Solids. 2020, 135, 103804.
- Guo, Z.; Wang, S.; Fu, Y. Localized Bulging of an Inflated Rubber Tube with Fixed Ends. Philos. Trans. Royal Soc. A. 2022, 380(2234), 20210318. DOI: 10.1098/rsta.2021.0318.
- Hejazi, M., Hsiang, Y., Srikantha Phani, A. Fate of a Bulge in an Inflated Hyperelastic Tube: Theory and Experiment. Proc. Royal Soc. A. 2021, 477(2247), 20200837. DOI: 10.1098/rspa.2020.0837.
- Chater, E.; Hutchinson, J. On the Propagation of Bulges and Buckles. J. Appl. Mech. 1984, 51(2), 269–277. DOI: 10.1115/1.3167611.
- Shield, R. T. On the Stability of Finitely Deformed Elastic Membranes. Zeitschrift für angewandte Mathematik und Physik ZAMP. 1971, 22(6), 1016–1028.
- Shield, R. T. On the Stability of Finitely Deformed Elastic Membranes. Zeitschrift für angewandte Mathematik und Physik ZAMP. 1972, 23(1), 16–34. DOI: 10.1007/BF01593199.
- Kyriakides, S.; Babcock, C. Experimental determination of the propagation pressure of circular pipes. JoJ. Press. Vessel Technol. 1981, 103(4), 328–336. DOI: 10.1115/1.3263410.
- Kyriakides, S. Propagating Buckles in Long Confined Cylindrical Shells. Int. J. Solids Struct. 1986, 22(12), 1579–1597. DOI: 10.1016/0020-7683(86)90064-8.
- Hutchinson, J.; Neale, K. Neck Propagation. J. Mech. Phys. Solids. 1983, 31(5), 405–426. DOI: 10.1016/0022-5096(83)90007-8.
- Abeyaratne, R.; Knowles, J. K. On the Dissipative Response Due to Discontinuous Strains in Bars of Unstable Elastic Material. Int. J. Solids Struct. 1988, 24(10), 1021–1044. DOI: 10.1016/0020-7683(88)90105-9.
- Green, A. E.; Adkins, J. E. Large Elastic Deformations and Non-Linear Continuum Mechanics; Clarendon Press: Oxford, 1960.
- Lee, J.-S. Large Elastic Deformation of Thin Cylindrical Tubes, Technical Report; California Inst of Tech Pasadena Graduate Aeronautical Labs, 1964.
- Corneliussen, A. H.; Shield, R. Finite Deformation of Elastic Membranes with Application to the Stability of an Inflated and Extended Tube. Arch. Rational Mech. Anal. 1961, 7(1), 273–304. DOI: 10.1007/BF00250766.
- Alexander, H. The Tensile Instability of an Inflated Cylindrical Membrane as Affected by an Axial Load. Int. J. Mech. Sci. 1971, 13(2), 87–95. DOI: 10.1016/0020-7403(71)90013-0.
- Kyriakides, S.; Yu-Chung, C. On the Inflation of a Long Elastic Tube in the Presence of Axial Load. Int. J. Solids Struct. 1990, 26(9–10), 975–991. DOI: 10.1016/0020-7683(90)90012-K.
- Treloar, L. G. The Physics of Rubber Elasticity; OUP Oxford, 1975.
- Lateefi, M. M.; Kumar, D.; Sarangi, S. An Alternative Form of Energy Density Demonstrating the Severe Strain-Stiffening in Thin Spherical and Cylindrical Shells. Theor. Appl. Mech. 2022, 12(4), 100361. DOI: 10.1016/j.taml.2022.100361.
- Haughton, D.; Ogden, R. Bifurcation of Inflated Circular Cylinders of Elastic Material Under Axial Loading—I. Membrane Theory for Thin-Walled Tubes. J. Mech. Phys. Solids. 1979, 27(3), 179–212. DOI: 10.1016/0022-5096(79)90001-2.
- Levinson, M. The Finite Strain Behavior of Incompressible Hollow Cylinders and Spheres Under Internal Pressure. GALCIT SM. 1962, 62–48.