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Impact dynamics for elastic membranes.

Laurent Courbin1, Antonin Marchand, Ashkan Vaziri

  • 1Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|February 7, 2007
PubMed
Summary
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We investigated how stretched polymer films respond to impacts, finding that film tension and deformation significantly influence the dynamics. Our model helps predict impact behavior in membrane systems.

Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Physics of Polymers

Background:

  • Thin polymeric films are crucial in various applications, but their dynamic response to impact is complex.
  • Understanding impact mechanics is essential for designing resilient materials and structures.

Purpose of the Study:

  • To investigate the dynamic response of stretched thin polymeric films subjected to rigid sphere impact.
  • To develop a scaling-level physical model for predicting impact dynamics.
  • To map impact regimes based on material and geometric parameters.

Main Methods:

  • Experimental: Impact tests with varying sphere radius, impact velocity, and film tension.
  • Numerical simulations to complement experimental data.
  • Development of a scaling-level physical model.

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Main Results:

  • Impact response is highly sensitive to nonlinearities arising from deformation-induced tension.
  • Contact time and maximum deflection are key measurable parameters.
  • A comprehensive diagram of impact dynamics was developed.

Conclusions:

  • The presented model qualitatively explains experimental and numerical findings.
  • The impact dynamics diagram provides insights into the interplay of tension, modulus, and geometry.
  • This work offers a framework for understanding and predicting the behavior of membrane systems under impact.