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the Kelvin-Voigt model with a Hookean spring dashpot but with metals, the creep can be represented by plastic deformation mechanisms such as dislocation...

A neo-Hookean solid is a hyperelastic material model, similar to Hooke's law, that can be used for predicting the nonlinear stress-strain behavior of...

Generalizations of Hooke's law for the case of large deformations is provided by models of neo-Hookean solids and Mooney–Rivlin solids. A rod of any elastic...

their stresses. Any combination of Hookean (linear-response) springs in series or parallel behaves like a single Hookean spring. The formulas for combining...

force is released. This type of deformation is modeled using a linear relationship between stress and strain, i.e. a Hookean relationship. ϵ = σ E {\displaystyle...

Neo-Hookean, Exponentially hardening material and Gent hyperelastic models. On this page, the results will be primarily derived from the Neo-Hookean model...

or with a very large force; however, all solid materials exhibit nearly Hookean behavior for small enough strains or stresses. If the range over which...

Yeoh hyperelastic material model is a phenomenological model for the deformation of nearly incompressible, nonlinear elastic materials such as rubber...

that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like water, resist both shear flow and strain linearly...

by elasticity and demonstrating solidlike behavior. For example, for a Hookean elastic solid, the relaxation time tc will be infinite and it will vanish...

of hyperelastic constitutive equations are: Saint Venant–Kirchhoff Neo-Hookean Generalized Rivlin Mooney–Rivlin Ogden Yeoh Arruda–Boyce model Gent Wikiversity...

{1}{D_{1}}}~(J-1)^{2}} If C 01 = 0 {\displaystyle C_{01}=0} we obtain a neo-Hookean solid, a special case of a Mooney–Rivlin solid. For consistency with linear...

{\displaystyle I_{m}\rightarrow \infty } , the Gent model reduces to the Neo-Hookean solid model. This can be seen by expressing the Gent model in the form...

Neo-Hookean model usually fits the material behaviour with sufficient accuracy. To model rubber at high strains, the one-parametric Neo-Hookean model...

841\leq |x|<1.\end{cases}}} For small deformations the Arruda–Boyce model reduces to the Gaussian network based neo-Hookean solid model. It can be shown that...

fractures occur without any apparent deformation before fracture. Ductile fractures occur after visible deformation. Fracture strength, or breaking strength...

(120 MJ/kg). The mechanical energy storage capacity, or resilience, of a Hookean material when it is deformed to the point of failure can be computed by...

{\displaystyle C_{01}=C_{11}=0} , the polynomial model reduces to the Neo-Hookean solid model. For a compressible Mooney-Rivlin material n = 1 , C 01 = C...

viscoelasticity is modeled analogous to an electrical circuit with a Hookean spring, that represents the Young's modulus, and a Newtonian dashpot that...

Rivlin and Melvin Mooney developed the first hyperelastic models, the Neo-Hookean and Mooney–Rivlin solids. Many other hyperelastic models have since been...