“…the results are quick and parametric so it is easy to see the effect of material properties such as hardness on the shakedown limit. this approach has been extensively used by the Johnson group (Johnson, 1962;ponter et al, 1985;Bower and Johnson, 1991;Johnson, 1992) for determining lower bounds and the kapoor group Williams, 1994, 1996;Wong et al, 1997a;Dyson et al, 1999) for determining upper bounds. additional results for shakedown limits for line contact (such as obtained in two contacting parallel cylinders), point contact (two contacting spheres) and elliptic contacts (two general smooth bodies such as eggs) are available Wong et al, 1996Wong et al, , 1997bJones et al, 1997;Williams et al, 1999).…”