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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 3
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Original Articles

The direct method in time-dependent bending of thermoelastic plates

I. Chudinovich Department of Mechanical Engineering, University of Guanajuato, Salamanca, Mexico
,
C. Constanda Department of Mathematical and Computer Sciences, University of Tulsa, USACorrespondence[email protected]
&
L. A. Aguilera Cortés Department of Mechanical Engineering, University of Guanajuato, Salamanca, Mexico
Pages 315-329 | Received 16 Nov 2006, Accepted 01 Dec 2006, Published online: 13 Apr 2007

References

  • Constanda , C . 1990 . A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation , Harlow–New York : Longman/Wiley .
  • Chudinovich , I and Constanda , C . 2000 . Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation , Boca Raton–London–New York–Washington, DC : Chapman & Hall/CRC .
  • Chudinovich , I and Constanda , C . 2005 . Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes , London : Springer-Verlag .
  • Schiavone , P and Tait , RJ . 1993 . Thermal effects in Mindlin-type plates. . Quarterly Journal of Mathematics , 46 : 27 – 39 .
  • Kupradze , VD , Gegelia , TG , Basheleishvili , MO and Burchuladze , TV . 1978 . Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity , Amsterdam : P. Noordhoff .
  • Chudinovich , I and Dumina , O . 2000 . Boundary equations in dynamic problems for thermoelastic media. . Visnyk Kharkivs'kogo Natsional'nogo Universitetu Seriya Matematika, Prikladna Matematika i Mekhanika , 475 : 230 – 240 .
  • Chudinovich , I , Constanda , C and Colin Venegas , J . 2004 . The Cauchy problem in the theory of thermoelastic plates with transverse shear deformation. . Journal of Integral Equations and Applications , 16 : 321 – 342 .
  • Chudinovich , I , Constanda , C and Colin Venegas , J . 2006 . On the Cauchy problem for thermoelastic plates. . Mathematical Methods in the Applied Sciences , 29 : 625 – 636 .
  • Chudinovich , I , Constanda , C and Colin Venegas , J . 2005 . Solvability of initial-boundary value problems for bending of thermoelasic plates with mixed boundary conditions. . Journal of Mathematical Analysis and Applications , 311 : 357 – 376 .
  • Chudinovich , I and Constanda , C . Boundary integral equations in time-dependent bending of thermoelastic plates (to appear) .
  • Chudinovich , I , Constanda , C and Dolberg , O . 2005 . On the Laplace transform of a matrix of fundamental solutions for thermoelastic plates. . Journal of Engineering Mathematics , 51 : 199 – 209 .

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