The contact problem between two orthotropic solids is examined. The pr
oblem is solved by using Lodge's method, which permits the transformat
ion of the boundary-value problem of an anisotropic solid to a form id
entical with the corresponding problem of an isotropic medium. The pro
posed solution is then compared with known results of certain particul
ar cases and it is observed that it produces Hertz's solution when use
d for an isotropic case, Lodge's solution when applied to contact betw
een an orthotropic solid and a rigid plane and, finally, Love's soluti
on if the solid is transversely isotropic with the axis of material sy
mmetry perpendicular to the rigid plane of contact.