I am trying to develop FEM formulation for 1D incompressible neo-hookean solids.Is it not feasible to do so??
The physical problem is stretching a hyperelastic bar clamped at left end.
For neo-Hookean, I am using the constitutive equation T=pI-2CB, T=cauchy stress tensor, p=pressure scalar, b=left cauchy-green deformation tensor, C= constant
This equation , I reduced to T=pI-2CF.FT
T=pI-2C(I+del0u)(I+del0u)T
u=displacement, 0=reference/material coordinates
Force balance equation del.T=f, substituting above constitutive equation in force balance equation.