Journal of Computational Applied Mechanics

A spatial decay estimates for a thermoelastic Cosserat body without energy dissipation

Document Type : Research Paper

Authors

1 Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania

2 Academy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, Romania

3 Department of Physics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of Korea

Abstract

A cylinder with a prismatic structure is considered and this is "filled" with a thermoelastic material with the Cosserat structure. It is supposed that on the lateral surface of the cylinder there are no body forces, or body couple nor heat supply. But, on the base of cylinder, a microrotation is given, which is time-dependent, a displacement, which is also time-dependent, and a thermal displacement is also prescribed. All these loads are assumed to be harmonic functions in time and from their corroborated action, the movement of the body under consideration is induced. We will define a measure associated with the vibration that corresponds to the steady state. Assuming that there is a certain critical frequency and we can suppose that any excitation frequency is lower than the critical one, we will be able to obtain an estimation regarding the spatial decay.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 56, Issue 3
July 2025
Pages 611-626
  • Receive Date: 07 June 2025
  • Accept Date: 07 June 2025