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Summary
This summary is machine-generated.

This study models nonlinear dynamic responses in materials with negative stiffness inclusions. Macroscopic damping is tunable via hydrostatic pressure, showing significant energy dissipation changes.

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Area of Science:

  • Materials Science
  • Nonlinear Dynamics
  • Acoustics

Background:

  • Heterogeneous materials with specific inclusions can exhibit unique macroscale properties.
  • Nonlinear phenomena, such as negative stiffness, offer pathways to novel material functionalities.

Purpose of the Study:

  • To develop a time-domain model for the nonlinear dynamic response of materials with subwavelength nonlinear inclusions.
  • To investigate the tunability of macroscopic damping performance in such composite materials.

Main Methods:

  • A modified Rayleigh-Plesset equation was used to model each length scale, incorporating inertial and viscoelastic effects.
  • Constitutive equations with incremental deformations were formulated for the oscillating elements.
  • The model couples two length scales through constitutive relations and viscoelastic loss, dependent on inclusion and matrix properties.

Main Results:

  • The model was applied to an example nonlinear inclusion with incremental negative linear stiffness.
  • Macroscopic damping performance was shown to be tunable via externally applied hydrostatic pressure.
  • Over two orders of magnitude change in energy dissipation were observed due to changes in prestrain.

Conclusions:

  • The developed model accurately captures the dynamic response of materials with negative stiffness inclusions.
  • Externally applied hydrostatic pressure offers a method to tune the damping properties of these materials.
  • The findings have implications for designing advanced materials with controllable energy dissipation characteristics.