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Non-linear Thermoelastic Analysis of an Anisotropic Rectangular Plate

Classical Physics 2018-08-23 v1

Abstract

Three-dimensional thermoelastic analysis in presence of electro magnetic field is investigated of a rectangular plate. In the context of Green-Naghdi model-II, fractional order energy equation is adopted for a rotating anisotropic rectangular plate which is subjected to simply supported and isothermal on its four lateral edges. Normal mode analysis is adopted to the governing equations to formulate a Vector-matrix differential equation. The analytical closed form solution of the Vector-matrix differential equation is obtained for the physical parameters using eigen value approach methodology. Numerical results are represented graphically with a sinusoidal spatial variations of the stress applied on the top surface of the plate.

Keywords

Cite

@article{arxiv.1808.07423,
  title  = {Non-linear Thermoelastic Analysis of an Anisotropic Rectangular Plate},
  author = {B. Das and S. Chakraborty and A. Lahiri},
  journal= {arXiv preprint arXiv:1808.07423},
  year   = {2018}
}
R2 v1 2026-06-23T03:40:58.954Z