期刊
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
卷 51, 期 4, 页码 1904-1919出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15397734.2021.1882311
关键词
Four-phase-lag generalized thermoelastic diffusion; higher order time-fractional Caputo derivative; reciprocity theorem; uniqueness theorem; variational principle; 74F
类别
This paper derives a variational principle for a higher order time-fractional four-phase-lag generalized thermoelastic diffusion model, proves uniqueness of solutions for the governing field equations of the model under suitable conditions, and obtains a reciprocity theorem for the model.
In the present paper, a variational principle is derived for the recently introduced higher order time-fractional four-phase-lag generalized thermoelastic diffusion model for a linear, isotropic and homogeneous thermoelastic diffusive continuum. Then uniqueness of the solution for the governing field equations of the considered model is proved under suitable conditions. Finally a reciprocity theorem is obtained for the said model.
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