Numerical Simulation of Waves and Fronts in Inhomogeneous Solids

A. Berezovski, M. Berezovski, J. Engelbrecht, G. A. Maugin

Research output: Contribution to journalArticlepeer-review

Abstract

Dynamic response of inhomogeneous materials exhibits new effects, which often do not exist in homogeneous media. It is quite natural that most of studies of wave and front propagation in inhomogeneous materials are associated with numerical simulations. To develop a numerical algorithm and to perform the numerical simulations of moving fronts we need to formulate a kinetic law of progress relating the driving force and the velocity of the discontinuity. The velocity of discontinuity is determined by means of the non-equilibrium jump relations at the front. The obtained numerical method generalizes the wave-propagation algorithm to the case of moving discontinuities in thermoelastic solids.

Original languageAmerican English
JournalDefault journal
StatePublished - Jun 11 2007
Externally publishedYes

Keywords

  • wave and front propagation
  • inhomogeneous solids
  • finite-volume methods

Disciplines

  • Mechanics of Materials
  • Numerical Analysis and Computation
  • Partial Differential Equations

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