On modifications of Newton's second law and linear continuum elastodynamics

@article{Milton2007OnMO,
  title={On modifications of Newton's second law and linear continuum elastodynamics},
  author={G. Milton and J. Willis},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2007},
  volume={463},
  pages={855 - 880}
}
  • G. Milton, J. Willis
  • Published 2007
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
In this paper, we suggest a new perspective, where Newton's second law of motion is replaced by a more general law which is a better approximation for describing the motion of seemingly rigid macroscopic bodies. We confirm a finding of Willis that the density of a body at a given frequency of oscillation can be anisotropic. The relation between the force and the acceleration is non-local (but causal) in time. Conversely, for every response function satisfying these properties, and having the… Expand

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