Summary
According to the constitutive relation of linear thermoviscoelasticity, a mathematical model of viscoelastic FGM thin plates under thermal loads is set up with the help of Laplace transformation method and the introduction of ``structural functions'' and ``thermal functions''. The corresponding simplified Gurtin's type variational principle of FGM thin plates is presented by means of convolution bilinear forms. By combining the Ritz method in the spatial domain and the Legendre interpolation method in the temporal domain, the influence of temperature variation and effects of graded parameters on the quasi-static responses of the FGM plate are investigated.
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Zhang, N.H., Wang, M.L. A mathematical model of thermoviscoelastic FGM thin plates and Ritz approximate solutions. Acta Mechanica 181, 153–167 (2006). https://doi.org/10.1007/s00707-005-0300-9
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DOI: https://doi.org/10.1007/s00707-005-0300-9