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Area of Science:

  • Acoustics and Materials Science
  • Solid Mechanics
  • Nonlinear Wave Phenomena

Background:

  • Ultrasonic wave propagation is typically studied in linear elastic materials.
  • The nonlinear effects of acoustic radiation stress in hyperelastic media are not well understood.
  • Controlling wave properties like phase velocity is crucial for advanced material applications.

Purpose of the Study:

  • To theoretically investigate the self-control of ultrasonic wave phase velocities in hyperelastic media.
  • To explore the mechanisms behind wave self-bending and phase velocity switching.
  • To identify potential applications in phononic, thermal, and acoustic devices.

Main Methods:

  • Theoretical modeling of ultrasonic wave propagation in hyperelastic materials.
  • Analysis of acoustic radiation stresses and resulting medium deformation.
  • Investigation of deformation stiffening and its impact on phase velocities.
  • Examination of snap-through instability in acoustomechanical deformation.

Main Results:

  • Ultrasonic waves generate acoustic radiation stresses, inducing large deformations and stiffening in hyperelastic media.
  • Deformation-induced stiffening alters wave propagation, leading to self-control of phase velocities.
  • Initially isotropic media become anisotropic due to stiffening, enabling wave self-bending.
  • Snap-through instability allows for discontinuous switching of phase velocities.

Conclusions:

  • A novel self-control and switchable mechanism for ultrasonic wave propagation in hyperelastic media has been demonstrated.
  • This phenomenon arises from the interplay between acoustic radiation stresses and elastic stresses.
  • The findings offer new avenues for designing advanced phononic, thermal, and acoustic materials and devices.