A prosthetic joint includes: (a) first member having a balanced centroidal axis, and comprising a rigid material and a concave interior defining a cup surface, the cup surface including: (i) a cantilevered first flange defining a wear-resistant protruding first contact rim, the first flange being asymmetric relative to the balanced centroidal axis; and (ii) a cantilevered second flange defining a wear-resistant protruding second contact rim; (b) a second member comprising a rigid material with a wear-resistant, convex contact surface; (c) where the first and second contact rims bear against the contact surface of the second member, to transfer loads between the first and second members, while allowing pivoting motion therebetween; and (d) wherein the flanges are shaped and sized so as to deform elastically and permit the first and second contact rims to conform in an irregular shape to the contact surface, when the joint is under load.