半無限体の一般化された熱弾性問題

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  • Generalized thermoelasticity for a half-space including two different theories.
  • ハンムゲンタイ ノ イッパンカサレタ ネツ ダンセイ モンダイ

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One-dimensional, generalized thermoelasticity is presented based on Lord and Shulman's theory and Green and Lindsay's theory. The former theory involves one relaxation time of the thermoelastic process, and the latter involves two relaxation times. These theories have been developed in an attempt to eliminate the paradox of an infinite velocity of thermoelastic propagation inherent in the classical theory. A formulation of generalized thermoelasticity which combines both theories is derived. The generalized thermoelastic problems for a half-space are analyzed by means of Laplace transform technique. An approximate analysis for short periods of time is carried out because the effects of relaxation times are short-lived. The numerical results of the effect of the relaxation time on temperature and stress distributions are shown. And we point out the mistakes of the previous papers by Dhaliwal et al.

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