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Contact Problems in Bending of Thermoelastic Plates

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Abstract

The theory of bending of plates with transverse shear deformation is very important in mechanical engineering because of its direct application to the study of deformable structures and because of its mathematical sophistication. The well-posedness of boundary value problems and of initial-boundary value problems with various types of boundary conditions for this model has been studied in detail in [ChCo00] and [ChCo05], respectively. Corresponding results for the same plate model where, additionally, there are significant thermal effects have been obtained in [ChEtAl04], [ChEtAl05a], [ChEtAl05b], [ChEtAl06],[ChCo07], [ChCo08a], [ChCo08b], [ChCo08c], [ChCo09a], and [ChCo09b]. Here we present the solution to the case of a piecewise homogeneous plate with transmission boundary conditions.

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References

  1. Chudinovich, I., Constanda, C.: Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation, Chapman & Hall/CRC, Boca Raton, FL (2000).

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Correspondence to I. Chudinovich .

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Chudinovich, I., Constanda, C. (2010). Contact Problems in Bending of Thermoelastic Plates. In: Constanda, C., Pérez, M. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4899-2_12

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