Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane
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Publication:2296398
DOI10.1007/s11071-019-04855-4zbMath1430.74099OpenAlexW2918546085MaRDI QIDQ2296398
Pedro F. T. Amaral, Renata M. Soares, Paulo Batista Gonçalves, Frederico Martins Alves da Silva
Publication date: 18 February 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-04855-4
Nonlinear elasticity (74B20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
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Cites Work
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- A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
- Instability of hyper-elastic balloon-shaped space membranes under pressure loads
- Dynamics of biological soft tissue and rubber: internally pressurized spherical membranes surrounded by a fluid
- Post-bifurcation of perfect and imperfect spherical elastic membranes
- Tensile instability of nonlinear spherical membrane with large deformation
- On the dynamic snap-out instability of inflated non-linear spherical membranes
- Practical bifurcation and stability analysis: from equilibrium to chaos.
- Nonlinear resonances of an idealized saccular aneurysm
- Nonlinear vibrations of a rectangular hyperelastic membrane resting on a nonlinear elastic foundation
- Finite deformations of an initially stressed cylindrical shell under internal pressure
- Nonlinear higher-order shell theory for incompressible biological hyperelastic materials
- Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation
- Deflections of a rubber membrane
- Dynamical Integrity and Control of Nonlinear Mechanical Oscillators
- Chaotic phenomena triggering the escape from a potential well
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- The Application of the Minimum Potential Energy Principle to Nonlinear Axisymmetric Membrane Problems
- Inflating a Rubber Balloon
- Influence of initial geometric imperfections on the stability of thick cylindrical shells under internal pressure
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
