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• W3162296979 endingPage "121315" @default.
• W3162296979 startingPage "121315" @default.
• W3162296979 abstract "One of the major, long-standing challenges in analytical mechanics involves the inability to address systems with dissipation in a rigorous manner. In this paper, we overcome that difficulty by formulating a novel temperature-based stationary variational principle for transient heat diffusion based upon a temporal convolution operator and fractional derivatives. The associated Euler-Lagrange equations provide the governing heat equation, along with the initial conditions on temperature and specified heat flux boundary conditions. A further integration-by-parts then leads to a formulation that is somewhat less symmetric but can be written without introducing fractional calculus. Finally, the resulting principle is used to solve two basic one-dimensional problems, as an illustration of a Ritz-type approach." @default.
• W3162296979 created "2021-05-24" @default.
• W3162296979 creator A5020681753 @default.
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• W3162296979 date "2021-08-01" @default.
• W3162296979 modified "2023-09-24" @default.
• W3162296979 title "Convolved energy variational principle in heat diffusion" @default.
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• W3162296979 doi "https://doi.org/10.1016/j.ijheatmasstransfer.2021.121315" @default.
• W3162296979 hasPublicationYear "2021" @default.
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