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Erschienen in: Experimental Mechanics 4/2009

01.08.2009

Quantitative Impact Testing of Energy Dissipation at Surfaces

verfasst von: G. Constantinides, C. A. Tweedie, N. Savva, J. F. Smith, K. J. Van Vliet

Erschienen in: Experimental Mechanics | Ausgabe 4/2009

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Abstract

Impact testing with nanoscale spatial, force, and temporal resolution has been developed to address quantitatively the response of surfaces to impingement of local contact at elevated velocities. Here, an impact is generated by imparting energy to a pendulum carrying an indenter, which then swings towards a specimen surface. The pendulum displacement as a function of time x(t) is recorded, from which one can extract the maximum material penetration x max , residual deformation x r , and indentation durations t in and t out. In an inverse application one can use the x(t) response to extract material constants characterizing the impact deformation and extent of energy absorption, including material specific resistance coefficient Cin, coefficient of restitution e, and dynamic hardness H imp . This approach also enables direct access to the ratio H/E, or resilience of the deformed material volume, at impact velocities of interest. The impact response of aluminum was studied for different contact velocities, and the mechanical response was found to correlate well with our one-dimensional contact model. Further experiments on annealed and work hardened gold showed that dynamic hardness H imp scales with contact velocity and highlighted the importance of rate-dependent energy absorption mechanisms that can be captured by the proposed experimental approach.

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Fußnoten
1
This quadratic link between force and penetration depth was found to be a natural outcome of the dimensional analysis of sharp (conical or pyramidal) indentation, owing primarily to the geometric self-similarity of the problem [3, 32]. A series of theoretical [3] and computational [2, 33] studies elucidate this complicate contact mechanics problem and suggest that the square dependency persists irrespective of the material behavior, whether the solid behaves elastically [3] or inelastically, with strain hardening [32], or pressure sensitive [34] plasticity. It should, however, be noted that time-dependent material behavior can change the exponent of indentation to values lower than 2 [2].
 
2
The energy input to the system by imparting it to its initial position x(0) and giving it an initial velocity \(\dot{x}\left( 0\right) \) is the sum of the kinetic and potential energy:
$$ T=\frac{1}{2}k\left[ x\left( 0\right) \right] ^{2}+\frac{1}{2}m\left[ \dot{x}\left( 0\right) \right] ^{2} $$
During the period prior to first impact the energy can be calculated by considering the experimentally obtained x(t) and \(\dot{x}\left( t\right) \) in the above equation. When the pendulum first hits the material surface the potential energy of the system is zero and the total energy is equivalent of the kinetic energy \(E_{\text{total}}=\frac{1}{2}mv_{in}^{2}.\) During the rebound phase the material loses contact earlier approximately at h = h r and as a consequence the total energy is equivalent to \(E_{\text{total}} =\frac{1}{2}mv_{out}^{2}+\frac{1}{2}kh_{r}^{2}\simeq\frac{1}{2}mv_{out}^{2}\) for the velocities considered herein.
 
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Metadaten
Titel
Quantitative Impact Testing of Energy Dissipation at Surfaces
verfasst von
G. Constantinides
C. A. Tweedie
N. Savva
J. F. Smith
K. J. Van Vliet
Publikationsdatum
01.08.2009
Verlag
Springer US
Erschienen in
Experimental Mechanics / Ausgabe 4/2009
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-008-9198-1

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