Size Dependence of Restitution Coefficients of Ice in Relation to Collision Strength

Details Size Dependence of Restitution Coefficients of Ice in Relation to Collision Strength Size Dependence of Restitution Coefficients of Ice in Relation to Collision Strength

Jun 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998icar..133..310h&link_type=abstract

Icarus, Volume 133, Issue 2, pp. 310-320.

Physics

15

Scientific paper

We have investigated the size dependence of the restitution coefficient (epsilon) of a water ice sphere over a wide range of impact velocities (v_i = 1-1000 cm/s) and radii (r_p = 0.14-3.6 cm) at 261 K. The impact velocity dependence of epsilon was divided into two regions by the critical velocity (v_c), which was the onset velocity of fracturing as well. In the quasi-elastic region (v_i < v_c), epsilon was almost constant and ice spheres did not fracture at all. In the inelastic region (v_i >= v_c), epsilon decreased with increasing v_i and ice spheres fractured. epsilon was then fitted as epsilon(v_i) = epsilon_qe(v_i/v_c)^-log(v_i/v_c). The size dependencies of epsilon in both regions were different. In the quasi-elastic region, the average value of epsilon decreased with decreasing r_p from epsilon_qe = 0.95 (r_p = 3.6 cm) to epsilon_qe = 0.71 (r_p = 0.14 cm). However, the maximum value of epsilon in this region was close to unity and irrespective of r_p. In the inelastic region, epsilon increased with decreasing r_p. v_c was shown to increase with decreasing r_p from 23 cm/s (r_p = 3.6 cm) to 124 cm/s (r_p = 0.14 cm). The size dependence of v_c was explained by the strain-rate dependence of the fracture strength of ice.

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