University of Tehran Press Journal of Computational Applied Mechanics 2423-6713 56 3 2025 07 01 A spatial decay estimates for a thermoelastic Cosserat body without energy dissipation 611 626 102308 10.22059/jcamech.2025.396902.1506 EN Marin Marin Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania Academy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, Romania M.M. Bhatti Department of Physics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of Korea O.M. Hapenciuc Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania S. Pirlog Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania Journal Article 2025 06 07 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. https://jcamech.ut.ac.ir/article_102308_24ee24b795df16a4d20d961ed8157611.pdf