The Laplace equation for an infinite chain of dielectric particles in
an electrorheological fluid is solved with the finite element analysis
(FEA) method. The FEA results reveal that the dipole model gives a go
od approximation in calculating energy, even if neighbor particles are
very close and the mismatch is moderate. However, the dipole model un
derestimates the pair attractive force when the particles are in or ne
ar contact. The conductor model is a good approximation when the two p
articles are near contact and the mismatch is very big. A formula to c
alculate the neighbor pair attractive force for the whole range is pro
posed. The FEA results agree with this formula reasonably well.