Spatial stability in linear thermoelasticity
نویسندگان
چکیده
منابع مشابه
Spatial stability in linear thermoelasticity
Uniqueness and spatial stability are investigated for smooth solutions to boundary value problems in non-classical linearised and linear thermoelasticity subject to certain conditions on material coefficients. Uniqueness is derived for standard boundary conditions on bounded regions using a generalisation of Kirchhoff’s method. Spatial stability is discussed for the semi-infinite prismatic cyli...
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The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero ...
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The four thermodynamic potentials, the internal energy u 1⁄4 uð ij; sÞ, the Helmholtz free energy f 1⁄4 f ð ij; T Þ, the Gibbs energy g 1⁄4 gðrij; T Þ and the enthalpy h 1⁄4 hðrij; sÞ are derived, independently of each other, by using the Duhamel–Neumann extension of Hooke’s law and an assumed linear dependence of the specific heat on temperature. A systematic procedure is then presented to exp...
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ژورنال
عنوان ژورنال: International Journal of Engineering Science
سال: 2015
ISSN: 0020-7225
DOI: 10.1016/j.ijengsci.2014.01.006