Analysis of the compressible, isotropic, neo-Hookean hyperelastic model

Analysis of Intrinsic Stability Criteria for Isotropic Third-Order Green Elastic and Compressible Neo-Hookean Solids

Internal stability of isotropic nonlinear elastic materials under homogeneous deformation is studied. Results provide new insight into various intrinsic stability measures, first proposed elsewhere, for generic nonlinear elastic solids. Three intrinsic stability criteria involving three different tangent elastic stiffness matrices are considered, corresponding to respective increments in strain...

Onset of Cavitation in Compressible, Isotropic, Hyperelastic Solids

In this work, we derive a closed-form criterion for the onset of cavitation in compressible, isotropic, hyperelastic solids subjected to non-symmetric loading conditions. The criterion is based on the solution of a boundary value problem where a hyperelastic solid, which is infinite in extent and contains a single vacuous inhomogeneity, is subjected to uniform displacement boundary conditions. ...

Dynamic Crack Propagation in Sheets of Compressible Neo-hookean Material under General In-plane Loading

Finite Amplitude Vibrations of a Neo-hookean

The problem of the finite amplitude, horizontal oscillatory motion of a mass attached to a neo-Hookean rubber spring and supported by a fixed, ideally smooth and rigid horizontal surface is solved exactly in terms of the Heuman lambda and beta functions. Therefore, the period of the oscillations may be computed from tables of values of the complete lambda function. It is proved that the ratio o...

Supplement for “ Stable Neo - Hookean Flesh Simulation ”

The behavior of the three Neo-Hookean energies is very similar, although the slightly superior volume preservation of our model starts to be seen in the ν = 0.3 row. The “fixed” co-rotational model preserves volume, but unnatural crinkling artifacts start to appear even at small Poisson’s ratios, e.g. ν = 0.2. The original co-rotational model yields good results at ν = 0.2, but quickly begins t...