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Ordinarily, the stress tensor that one derives for a Madelung fluid is notregarded as being coupled to a strain tensor, which is consistent with thefluid hypothesis. However, based upon earlier work regarding the geometricnature of the quantum potential, one can, in fact, define a strain tensor,which is not, however, due to a deformation of a spatial region, but to adeformation of a frame field on that region. When one expresses the Madelungstress tensor as a function of the strain tensor and its derivatives, one thendefines a constitutive law for the Madelung medium that might lead to a moredetailed picture of its elementary structure. It is pointed out that theresulting constitutive law is strongly analogous to laws that were presented byKelvin and Tait for the bending and torsion of elastic wires and plates, aswell as the Einstein equations for gravitation if one takes the viewpoint ofmetric elasticity.

A strain tensor that couples to the Madelung stress tensor