FRACTIONAL CATTANEO-TYPE EQUATIONS AND GENERALIZED THERMOELASTICITY

Y. Z. Povstenko

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FRACTIONAL CATTANEO-TYPE EQUATIONS AND GENERALIZED THERMOELASTICITY

机译：分数阶正弦方程和广义热弹性

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摘要

Following Compte and Metzler, the generalized Cattaneo-type equations with time-fractional derivatives are considered. The corresponding theory of thermal stresses is formulated. The proposed theory, on the one hand, interpolates the theory of Lord and Shulman and thermoelasticity without energy dissipation of Green and Naghdi and, on the other hand, generalizes theory of thermal stresses based on the fractional heat conduction equation. The fundamental solution to the nonhomogeneous fractional telegraph equation as well as the corresponding stresses are obtained in one-dimensional and axisymmetric cases.

机译：根据Compte和Metzler，考虑具有时间分数导数的广义Cattaneo型方程。建立了相应的热应力理论。提出的理论一方面插值了Lord和Shulman的理论以及热弹性，而没有耗散Green和Naghdi的能量，另一方面，它基于分数热传导方程式对热应力理论进行了概括。在一维轴对称情况下，获得了非均匀分数电报方程的基本解以及相应的应力。

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来源
《Journal of thermal stresses》 |2011年第3期|p.97-114|共18页
作者
Y. Z. Povstenko;
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作者单位

Institute of Mathematics and Computer Science, Jan Dlugosz University in Czestochowa, Poland and European University of Informatics and Economics (EWSIE) in Warsaw, Warsaw, Poland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
cattaneo equation; fractional calculus; non-fourier heat conduction; thermal stresses;

机译：催化方程小数演算非傅立叶导热热应力;

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FRACTIONAL CATTANEO-TYPE EQUATIONS AND GENERALIZED THERMOELASTICITY

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