## Abstract

A linear model of the microstructured continuum based on Mindlin theory is adopted which can be represented in the framework of the internal variable theory. Fully coupled systems of equations for macro-motion and microstructure evolution are represented in the form of conservation laws. A modification of wave propagation algorithm is used for numerical calculations. Results of direct numerical simulations of wave propagation in periodic medium are compared with similar results for the continuous media with the modelled microstructure. It is shown that the proper choice of material constants should be made to match the results obtained by both approaches

Original language | American English |
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Title of host publication | Deformation Waves in Microstructured Materials: Theory and Numerics |

Place of Publication | Taipei, Taiwan |

DOIs | |

State | Published - Sep 17 2010 |

## Keywords

- Solitary Wave
- Direct Numerical Simulation
- Internal Variable
- Elastic Wave Propagation
- Dissipation Inequality

## Disciplines

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