Closed solutions for model problems in generalized thermoelasticity

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Lychev, S.A.^1,2 ; Klindukhov, V.V.^2

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, prosp. Vernadskogo 101-1, Moscow

119526, Russia^1

National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe shosse, Moscow

115409, Russia^2

关键词: Biorthogonal;    Closed solutions;    Conjugate pair;    Generalized thermo-elasticity;    Model problems;    Spectral expansions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012053/pdf
DOI  :  10.1088/1742-6596/788/1/012053

来源: IOP

【 摘 要 】

Closed solutions for model problems in non-dissipative thermoelasticity are obtained. The solutions are in the form of spectral expansion over biorthogonal system of eigenfunctions corresponded to mutual conjugate pair of operator pencils.