Geodesic
Stroh-like formalism for Kirchhoff anisotropic thermoelastic plates
Theoretical and applied mechanics, Tome 40 (2013) no. 4, p. 543 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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A Stroh-like formalism is developed for the heat conduction and the coupled stretching and bending deformations of a laminated anisotropic thermoelastic thin plate based on Kirchhoff theory. For the heat conduction problem, a Stroh-like quartic formalism is developed. Twodimensional generalized temperature and heat flux function vectors are introduced. The structure of the introduced 4×4 fundamental plate matrix for heat conduction is the same as that of the 8×8 fundamental elasticity matrix in the Stroh sextic formalism for generalized plane strain elasticity. Consequently, the orthogonality and closure relations for heat conduction in thin plates is established. For the thermoelastic problem, an inhomogeneous particular solution is derived rigorously. We obtain an octet formalism in which the general solution is composed of the well-known homogeneous solution developed by Cheng and Reddy (isothermal case) and the inhomogeneous particular solution arising from the thermal effect.
DOI : 10.2298/TAM1304543W
Classification : 74A40 74E10
Keywords: Anisotropic thermoelastic plate, Kirchhoff theory, Quartic formalism, Octet formalism, Heat conduction, Thermoelasticity 
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     author = {Xu Wang and Peter Schiavone},
     title = {Stroh-like formalism for {Kirchhoff} anisotropic thermoelastic plates},
     journal = {Theoretical and applied mechanics},
     pages = {543 },
     year = {2013},
     volume = {40},
     number = {4},
     doi = {10.2298/TAM1304543W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1304543W/}
}
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Xu Wang; Peter Schiavone. Stroh-like formalism for Kirchhoff anisotropic thermoelastic plates. Theoretical and applied mechanics, Tome 40 (2013) no. 4, p. 543 . doi: 10.2298/TAM1304543W

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