The improvement of mechanical contacts or microcontacts seeks a nearly uniform current density over most of contact area.\r\nWhen microtopography is homogeneous, this aim is achieved if nominal shape of contacting surfaces yields a nearly uniform\r\ncentral pressure which decreases monotonously to zero in contour points. These authors derived recently this shape for circular\r\ncontacts by employing high-order surfaces. This paper extends this result to elliptical contacts. Some results are used to this end,\r\nderived for elliptical elastic contacts between high-order surfaces. As homogeneous high order surfaces lead to a highly nonuniform\r\npressure distribution, central pressure is flattened by making the first derivatives of pressure vanish in contact center. Then, the\r\ncontacts between fourth, sixth, and eighth, order surfaces are analyzed and recurrence relations for pressure distribution and\r\ncontact parameters are proposed.
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