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Slow dynamic elasticity at short times.

SangMin Lee1, Richard L Weaver2

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Dynamic nonlinear elastic relaxations may not universally follow a logarithmic time recovery. This study investigates early-time behavior in various materials, finding no evidence of a transition point that varies with grain size.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Nonlinear Dynamics

Background:

  • Slow dynamic nonlinear elastic relaxations are generally assumed to recover universally with time.
  • A recent report suggests a deviation from this universality, with a transition time dependent on material grain size.

Purpose of the Study:

  • To investigate the early-time behavior of dynamic nonlinear elastic relaxations.
  • To test the hypothesis of a grain-size-dependent transition in relaxation recovery.
  • To assess the universality of relaxation behavior across different materials.

Main Methods:

  • Experimental observation of short-time relaxation dynamics.
  • Testing of various materials including cement paste, mortar, concrete, sandstone, and granite.
  • Analysis of relaxation curves considering limitations of finite-duration ring-down.

Main Results:

  • No reliable evidence of a transition point in early-time relaxation was found.
  • This was observed even in materials with large grain sizes, contrary to previous reports.
  • Limitations in precisely defining the start of relaxation due to experimental conditions were noted.

Conclusions:

  • The claimed universality of slow dynamic nonlinear elastic relaxations may not hold, or the transition is not as pronounced as suggested.
  • Further research is needed to clarify the behavior of these relaxations, especially at very early times.
  • The potential for nondestructive evaluation and structural health monitoring applications requires further validation.