Tessellated Continuum Mechanics: Forced Vibration of Cantor Dust-Like Structures

@article{Davey2017TessellatedCM,
  title={Tessellated Continuum Mechanics: Forced Vibration of Cantor Dust-Like Structures},
  author={Keith Davey and Rooholamin Darvizeh and Zainab Sedqi},
  journal={2017 Fourth International Conference on Mathematics and Computers in Sciences and in Industry (MCSI)},
  year={2017},
  pages={81-85}
}
This paper is concerned with testing and validating tessellated continuum mechanics (TCM) through holey-structure vibration case studies. There presently exists no means of performing vibration analysis of holey structures in the framework of classical continuum mechanics. TCM is as a new approach that introduces an equivalent continuous model on a tessellated continuum that exactly replicates the physics of a corresponding discontinuous pre-fractal holey structure. In this study pre-fractal… CONTINUE READING