Phenomena of Bifurcation and Chaos in the Dynamically Loaded Hyperelastic Spherical Membrane Based on a Noninteger Power-Law Constitutive Model
DOI10.1142/S0218127421300159zbMath1466.74019OpenAlexW3157084458MaRDI QIDQ4990641
Zhentao Zhao, Wenzheng Zhang, Datian Niu, Xue-Gang Yuan, Hong-Wu Zhang
Publication date: 31 May 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127421300159
chaosbifurcationvariational principlehomoclinic orbitspherical membranenoninteger power-law exponentRivlin-Saunders hyperelastic model
Nonlinear elasticity (74B20) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Membranes (74K15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
Cites Work
- Unnamed Item
- Dynamics and destruction of internally pressurized incompressible hyper-elastic spherical shells
- Some qualitative properties of incompressible hyperelastic spherical membranes under dynamic loads
- Dynamics of biological soft tissue and rubber: internally pressurized spherical membranes surrounded by a fluid
- Elastic instabilities in rubber
- The dynamical behaviour of nonlinear elastic spherical shells
- Determining Lyapunov exponents from a time series
- Some interesting nonlinear dynamic behaviors of hyperelastic spherical membranes subjected to dynamic loads
- A practical method for calculating largest Lyapunov exponents from small data sets
- Large amplitude oscillations of a tube of incompressible elastic material
- Instabilities in elastomers and in soft tissues
- Bifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External Forcing
- BIFURCATIONS IN A BOUNDARY-VALUE PROBLEM OF A NONLINEAR MODEL FOR STRESS-INDUCED PHASE TRANSITIONS
- Simple Chaotic Systems with Specific Analytical Solutions
- Bifurcations and Exact Solutions for a Class of MKdV Equations with the Conformable Fractional Derivative via Dynamical System Method
- Bifurcation Analysis in a Cancer Growth Model
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
- Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
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