Small amplitude inhomogeneous plane waves are studied as they propagate onthe free surface of a predeformed semi-infinite body made of Bell constrainedmaterial. The predeformation corresponds to a finite static pure homogeneousstrain. The surface wave propagates in a principal direction of strain and isattenuated in another principal direction, orthogonal to the free surface. Forthese waves, the secular equation giving the speed of propagation isestablished by the method of first integrals. This equation is not the same asthe secular equation for incompressible half-spaces, even though the Bellconstraint and the incompressibility constraint coincide in the isotropicinfinitesimal limit.
