Stiffness Analysis of Solid Polymeric Materials

We start with the governing equations of the Stokes flow of incompressible Newtonian fluids. Using an axisymraetric (r, z) coordinate system the components of the equation of motion are hence obtained by substituting the shear-dependent viscosity in Equations (4.11) with a constant viscosity p, as 

In the continuous penalty scheme used here the penalty parameter is defined as 

The working equation of the scheme is identical to Equation (4.70). However, by comparison it can be shown that the working equations in this scheme are identical to their counterparts obtained by the cormnonly used equilibrium finite 

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