I am trying to model the magnetic field due to a current. This is my first attempt at any electro magnetic type of analysis in FEA. For now, I just want to run a simple validation for a well known situation, magnetic field due to infinite wire.

When I look at the results, the solution looks good qualitatively (magnetic field lines in concentric circles around the wire following the right hand rule) but quantitatively, my results appear to assume that all materials have a magnetic permeability of 1, instead of the values that I've inputted. When I tried changing the magnetic permeability of the materials (even by orders of magnitude), it appeared to have almost no effect on the calculated magnetic field.

Why does it seem that the Magneto-static analysis doesn't take magnetic permeability into account during the analysis and how do I deal with that problem?

My Analysis:

I am using Abaqus CEA v6.12-2. My part is a rectangular prism with dimensions (40x40x200). I partitioned a cylinder through the middle of the of prism with a radius of 1.5 (r=1.5, L=200). I made two materials, air and copper to be assigned to the prism and cylinder respectively. copper has conductivity of 401 and magnetic permeability of 0.25 air has conductivity of 0.1 and magnetic permeability of 1.256E-6 The step is a Magneto-static step. The Load is body current density with a single component of 10 along the axis of the wire analytical solution should be B = mu*I/(2*pi*r) B=magnetic field strength, mu=permeabiltiy, I=current, and r=radial distance from wire My analytical solution in the middle of the top surface (r=20) is B=1.418E-4 My Solution from abaqus in the middle of the top surface (r=20) is B=2.18E-3 Obviously there is a big discrepancy.

*NOTE: analytical solution for magnetic field due to current in an infinite wire is: B=mu*I/(2*pi*r) for domain outside of the wire B=mu*J*r/2 for domain inside the wire B=magnetic field mu = permeability of free space I = current r = radial distance from wire J = current density