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Title: Wave Propagation and Dispersion in Elasto-Plastic Microstructured Materials.


Abstract not provided.

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Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
Report Number(s):
DOE Contract Number:
Resource Type:
Resource Relation:
Conference: Proposed for presentation at the TMS Annual Meeting: Constitutive Response and Modeling of Structural Materials: An SMD Symposium in Honor of G.T. Gray III's 60th Birthday held March 15-19, 2015 in Orlando, FL.
Country of Publication:
United States

Citation Formats

Dingreville, Remi Philippe Michel, Robbins, Joshua, and Voth, Thomas E. Wave Propagation and Dispersion in Elasto-Plastic Microstructured Materials.. United States: N. p., 2015. Web.
Dingreville, Remi Philippe Michel, Robbins, Joshua, & Voth, Thomas E. Wave Propagation and Dispersion in Elasto-Plastic Microstructured Materials.. United States.
Dingreville, Remi Philippe Michel, Robbins, Joshua, and Voth, Thomas E. 2015. "Wave Propagation and Dispersion in Elasto-Plastic Microstructured Materials.". United States. doi:.
title = {Wave Propagation and Dispersion in Elasto-Plastic Microstructured Materials.},
author = {Dingreville, Remi Philippe Michel and Robbins, Joshua and Voth, Thomas E.},
abstractNote = {Abstract not provided.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2015,
month = 3

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  • Abstract not provided.
  • The one-dimensional theory of viscoplasticity for finite strains can be given in a form closely resembling the infinitesimal theory, which results in a constitutive equation in Maxwellian form. Results for acceleration waves, shock waves and steady waves in such a material are cited. These lead to simple means of evaluating the material response functions for compressive loading in plate impact experiments. Some of the progress which has been made in using these to interpret experimental data is reviewed.
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  • 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 initialmore » 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.« less