Asymptotic partition of energies for a Cosserat thermoelastic medium

Authors

  • H. Altenbach Otto-von-Guericke-Universitat Magdeburg, Magdeburg, Germany
  • A. Ochsner Esslingen University of Applied Sciences, Germany
  • S. Vlase Transilvania University of Brasov, Romania

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.2.3

Keywords:

Cosserat medium, strain energy, Cesaro means, stress energy, thermoelasticity, partition of energies

Abstract

The main aim of this study is to obtain a partition of the asymptotic type of energy of a solution for the mixed problem considered in the context of the Cosserat thermoelastic media. The concept of asymptotic equipartition is a notion, frequently used, for differential equations theory. In a simple formulation, this concept is formulated as follows: potential and kinetic energy, for a classical solution with finite energy, tend to become asymptotically equal on average, when time tends to infinity.

Author Biographies

H. Altenbach, Otto-von-Guericke-Universitat Magdeburg, Magdeburg, Germany

Fakultat fur Maschinenbau, Institut fur Mechanik

A. Ochsner, Esslingen University of Applied Sciences, Germany

Faculty of Mechanical and Systems Engineering, 73728 Esslingen

S. Vlase, Transilvania University of Brasov, Romania

Department of Mechanical Engineering, 500036 Brasov;
Technical Sciences Academy of Romania,
B-dul Dacia 26, 030167 Bucharest, Romania

Downloads

Published

2024-09-03

Issue

Vol. 4(66) No. 2 (2024)

Section

MATHEMATICS