On the Energy of a Hydroelastic System: Blood Flow in an Artery with a Cerebral Aneurysm

M. Yu Mamatyukov, A. K. Khe, D. V. Parshin, P. I. Plotnikov, A. P. Chupakhin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The energy approach to the study of a hydroelastic system consisting of an elastic blood vessel, viscous fluid flow, and an aneurysm has been developed to evaluate the various energy components of the system: viscous flow dissipation energy and the stretching and bending energies of the aneurysm wall. To calculate the total energy of the system, we have developed a computing complex including commercial and free software and self-developed modules. The performance of the complex has been tested on model geometric configurations and configurations corresponding to blood vessels with cerebral aneurysms of real patients and reconstructed by angiographic images. The calculated values of the Willmore functional characterizing the shell bending energy are consistent with theoretical data.

Original languageEnglish
Pages (from-to)977-988
Number of pages12
JournalJournal of Applied Mechanics and Technical Physics
Issue number6
Publication statusPublished - 1 Nov 2019


  • cerebral aneurysms
  • hydroelasticity
  • numerical calculation
  • surface curvature
  • Willmore functional


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