Finite anti-plane shearing of centrally-cracked solids of incompressible hyperelastic material

1993 ◽  
Vol 64 (3) ◽  
pp. 211-220
Author(s):  
Danton Gutierrez-Lemini
Keyword(s):  
Hyperelastic Material ◽  
Incompressible Hyperelastic Material ◽  
Cracked Solids ◽  
Plane Shearing

On finite plane strain of an isotropic incompressible hyperelastic material

1981 ◽  
Vol 4 (2) ◽  
pp. 119-124
Author(s):  
C. P. Perdikis ◽  
G. J. Tzivanidis
Keyword(s):  
Plane Strain ◽  
Hyperelastic Material ◽  
Finite Plane ◽  
Incompressible Hyperelastic Material

Some dynamic properties of a prestressed incompressible hyperelastic material

1973 ◽  
Vol 8 (1) ◽  
pp. 61-73 ◽  
Author(s):  
J.A. Belward
Keyword(s):  
Wave Propagation ◽  
Plane Wave ◽  
Energy Function ◽  
Strain Energy ◽  
Dynamic Properties ◽  
Strain Energy Function ◽  
Hyperelastic Material ◽  
Elastic Materials ◽  
Incompressible Hyperelastic Material ◽  
Plane Wave Propagation

The work continues some earlier investigations into dynamic properties of prestressed incompressible elastic materials. Whereas the material was previously assumed to be a Mooney material, it is here allowed to have any strain energy function. Plane wave propagation and the motions caused by an impulsive line of traction are examined. The results obtained are compared with the earlier work.

scholarly journals Buckling of a spinning elastic cylinder: linear, weakly nonlinear and post-buckling analyses

2018 ◽  
Vol 474 (2216) ◽  
pp. 20180242 ◽  
Author(s):  
Franck Richard ◽  
Aditi Chakrabarti ◽  
Basile Audoly ◽  
Yves Pomeau ◽  
Serge Mora
Keyword(s):  
Strain Energy ◽  
Elastic Cylinder ◽  
Hyperelastic Material ◽  
Quadratic Term ◽  
Buckling Modes ◽  
Weakly Nonlinear ◽  
Incompressible Hyperelastic Material ◽  
Post Buckling ◽  
Equivalent Shear Modulus ◽  
Nonlinear Regimes

An elastic cylinder spinning about a rigid axis buckles beyond a critical angular velocity, by an instability driven by the centrifugal force. This instability and the competition between the different buckling modes are investigated using analytical calculations in the linear and weakly nonlinear regimes, complemented by numerical simulations in the fully post-buckled regime. The weakly nonlinear analysis is carried out for a generic incompressible hyperelastic material. The key role played by the quadratic term in the expansion of the strain energy density is pointed out: this term has a strong effect on both the nature of the bifurcation, which can switch from supercritical to subcritical, and the buckling amplitude. Given an arbitrary hyperelastic material, an equivalent shear modulus is proposed, allowing the main features of the instability to be captured by an equivalent neo-Hookean model.

Cavitated bifurcation for incompressible hyperelastic material

2002 ◽  
Vol 23 (8) ◽  
pp. 881-888 ◽  
Author(s):  
Ren Jiu-sheng ◽  
Cheng Chang-jun
Keyword(s):  
Hyperelastic Material ◽  
Incompressible Hyperelastic Material ◽  
Cavitated Bifurcation

Fracture of an infinite incompressible hyperelastic material under compression along a cylindrical crack

1996 ◽  
Vol 32 (5) ◽  
pp. 325-331 ◽  
Author(s):  
A. N. Guz' ◽  
V. M. Nazarenko ◽  
Yu. I. Khoma
Keyword(s):  
Hyperelastic Material ◽  
Incompressible Hyperelastic Material ◽  
Cylindrical Crack

A Multiscale Anisotropic Poroplasticity Damage Model for Cracked Solids

2013 ◽  
Author(s):  
Qi-Zhi Zhu ◽  
Jian-Fu Shao
Keyword(s):  
Damage Model ◽  
Cracked Solids
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