# Neo-Hookean

## Tangent modulus of the Mooney-Rivlin based Neo-hookean - Could you check my derivation??

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Hello.

I study solid mechanics at a graduate school.

I tried to derive tangent modulus of the Mooney-Rivlin based Neo-Hookean material.

There might be no error in my derivation, but answer is wrong with referred right answer.

So, could you check my derivation?

I attached my derivation as a figure.

## Tangent modulus of the Mooney-Rivlin based Neo-hookean - Could you check my derivation??

Hello.

I study solid mechanics at a graduate school.

I tried to derive tangent modulus of the Mooney-Rivlin based Neo-Hookean material.

There might be no error in my derivation, but answer is wrong with referred right answer.

So, could you check my derivation?

I attached my derivation as a figure.

## plane stress incompressible neo-Hookean hyperelasticity

Hello,

I was wondering how is it possible to implement incompressible neohookean material in abaqus?

With the incompressibility assumption c(3,3)=1/(- c(1,2)^2 + c11*c22), with c being the Cauchy-Green strain tensor. It also implies that S33=0 and it is possible to find the pressure directly. In addition, h=sqrt(c(3,3))*h0 with h and h0 being current and initial thickness, respectively.

my question is that how is it possible to implement the last condition in umat?

## Linear Elastic material behaves as Neo-Hookean in ANSYS?

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I solve the static bending problem for thin plate under uniformly distributed load acting orthogonally to the plate. I
need the solution up to quite large values of deflection (100
thicknesses, which implies the strains about 100%), but I want to take
into account only geometric nonlinearity and not the material
nonlinearity. I use elements which support large strains (SHELL181,
SHELL281). The software is ANSYS Mechanical APDL 12 and 13. Also, I use "Large displacement static" option for
solution. 