Theoretical coefficient of restitution for planer impact of rough elasto-plastic bodies
- Univ. of Cambridge (United Kingdom)
During an inelastic collision the normal component of force between colliding bodies is a nonlinear function of indentation. In the cycle of loading and unloading which occurs in a collision this force exhibits hysteresis due to internal inelastic deformations near the contact point. Energy dissipation during impact can be calculated for any incident velocity and impact configuration by integration of rate-of-work throughout the contact period. In {open_quote}rigid body{close_quote} impact there is negligible displacement during the contact period - in this case work done by the normal component of contact force can be calculated to obtain the part of the initial kinetic energy of relative motion that is lost to irreversible internal dissipation. This energy loss is directly related to the energetic coefficient of restitution. For a non-collinear collision between rough bodies, this paper obtains an analytical expression for the energetic coefficient of restitution; this expression is appropriate for moderate speed impacts between compact bodies where maximum indentation remains small. The coefficient of restitution depends on the incident relative velocity, material properties and an effective mass as well as a secondary effect of friction. For impacts that result in fully plastic indentation, this theory obtains a coefficient of restitution proportional to normal impact speed to the 1/4 power a result that agrees with Goldsmith`s compilation of experimental evidence.
- OSTI ID:
- 175411
- Report Number(s):
- CONF-950686-; TRN: 95:006111-0385
- Resource Relation:
- Conference: Joint applied mechanics and materials summer meeting, Los Angeles, CA (United States), 28-30 Jun 1995; Other Information: PBD: 1995; Related Information: Is Part Of AMD - MD `95: Summer conference; PB: 520 p.
- Country of Publication:
- United States
- Language:
- English
Similar Records
Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks
Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks