Exact solution for cavitated bifurcation for compressible hyperelastic materials

International Journal of Engineering Science

Volumn 39, Issue 10, 2001, Pages 1101-1117

  Xin Chun, Shang ^a   Chang Jun, Cheng ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Bifurcation; Cavitation; Exact solution; Hyperelastic materials

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BOUNDARY LAYERS; CAVITATION; COMPRESSIBLE FLOW; DEFORMATION; NUCLEATION; STRAIN; STRESS ANALYSIS; WALL FLOW;

HYPERELASTIC MATERIALS; STRAIN ENERGY DISTRIBUTIONS;

ELASTICITY;

EID: 0035400897     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(00)00090-2     Document Type: Article

References (34)

1. Internal rupture of bounded rubber cylinders in tension
2. Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
3. A bifurcation problem for a compressible nonlinear elastic medium: Growth of a micro-void
4. Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
5. Radially symmetric cavitation for hyperelastic materials
6. Discontinuous energy minimizers in nonlinearly elastostatics: An example of J. Ball revisited
7. A field theory approach to stability of radial equilibria in nonlinear elasticity
8. Cavitation in compressible elastic membranes
9. Existence and nonexistence results on the radially symmetric cavitation problem
10. Void nucleation and growth for compressible nonlinearly elastic materials: An example
11. Influence of compressibility and hardening on cavitation
12. A theory of the appearance and growth of the micro-spherical void
13. Effect of constitutive parameters on formation of a spherical void in a compressible nonlinear elastic material
14. Critical stretch for formation of a cylindrical void in a compressible hyperelastic material
15. Void formation and growth in a class of compressible solids
16. The spherical cavitation bifurcation in hyperelastic materials
17. The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
18. Cavitation for incompressible anisotropic nonlinearly elastic spheres
19. Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres
20. Cavitation in elastic and elastic-plastic solids
21. Nonuniqueness for a hyperbolic system: Cavitation in nonlinear elastodynamics
22. Cavitation in nonlinear elastodynamics for neo-Hookean materials
23. On the occurrence of the cavitation instability relative to the asymmetric instability under symmetric dead-load conditions
24. A study of combined asymmetric and cavitated bifurcations in neo-Hookean material under symmetric dead loading
25. Cavitation in nonlinearly elastic solids: A review
26. On the dynamic cavitation problem in viscoplastic solids
27. Nonmonotonic cavity growth in finite compressible elasticity
28. Some remarks on axisymmetric solutions in finite elastostatics for compressible materials
29. On axisymmetric solutions for compressible nonlinearly elastic solids
30. Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders