Dynamics of thermoelastic thin plates: A comparison of four theories

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


Four distinct theories describing the flexural motion of thermoelastic thin plates are compared. The theories are due to Chadwick [1], Lagnese and Lions [2], Simmonds [3] and Norris [4]. Chadwick's theory requires a 3D spatial equation for the temperature but is considered the most accurate as the others are derivable from it by different approximations. Attention is given to the damping of flexural waves. Analytical and quantitative comparisons indicate that the Lagnese and Lions model with a 2D temperature equation captures the essential features of the thermoelastic damping, but contains systematic inaccuracies. These are attributable to the approximation for the first moment of the temperature used in deriving the Lagnese and Lions equation. Simmonds' model with an explicit formula for temperature in terms of plate deflection is the simplest of all but is accurate only at low frequency, where the damping is linearly proportional to the frequency. It is shown that the Norris model, which is almost as simple as Simmonds', is as accurate as the more precise but involved theory of Chadwick.

Original languageEnglish (US)
Pages (from-to)169-195
Number of pages27
JournalJournal of Thermal Stresses
Issue number2
StatePublished - Feb 2006

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


  • Attenuation
  • Flexural
  • Plate
  • Thermoelasticity


Dive into the research topics of 'Dynamics of thermoelastic thin plates: A comparison of four theories'. Together they form a unique fingerprint.

Cite this