Spatial and structural stability in thermoelasto-dynamics on a half-cylinder


The linear nonhomogeneous thermoelastodynamic problem in a half-cylinder is considered subject to assigned initial conditions, and to the displacement and temperature being specified over the base, and vanishing on the lateral boundary. Spatial stability, derived from a differential inequality, establishes that the mean-square volume integrals of displacement and temperature are bounded above by a decaying function of axial distance for each finite positive time instant. Structural stability, which here relates to continuous dependence of the displacement on the thermal coupling, depends upon the construction of further differential inequalities.

DOI Code: 10.1285/i15900932v27n2p155

Thermoelastodynamics; Spatial stability; Structural stability; Half-cylinder

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