Aa. Yevtushenko et Rd. Kulchytskyzhyhailo, AXISYMMETRICAL TRANSIENT CONTACT PROBLEM FOR SLIDING BODIES WITH HEAT-GENERATION, International journal of solids and structures, 32(16), 1995, pp. 2369-2376
A transient contact problem with frictional heating for two sliding ha
lf-spaces is considered. One of the two half-spaces is assumed to be s
lightly curved to give a Hertzian initial pressure distribution; the o
ther is a rigid non-conductor. The problem is formulated in terms of o
ne integral equation with unknown heat flux at the interface. The equa
tion is solved numerically, using appropriately chosen Green's functio
ns. Contact pressure and temperatures are found for various values of
an independent parameter-the ratio of initial width of contact to the
width in the steady state.