Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories

doi:10.1080/17455030.2020.1857462

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	Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories
	Peng, Wei 2; He, Tianhu 1,2
刊名	WAVES IN RANDOM AND COMPLEX MEDIA
	2021
关键词	Fractional-order derivative memory-dependent derivative time-delay factor kernel function generalized thermoelastic diffusion theory variable material properties
ISSN号	1745-5030
DOI	10.1080/17455030.2020.1857462
英文摘要	The applicability of the generalized thermoelastic theories with integer-order derivative in solving anomalous or transient thermoelastic diffusion problems is questionable. Due to the feature of memory-dependence and heredity, the fractional-order derivative and the memory-dependent derivative are introduced to modify the generalized thermoelastic theories for extending their applicability. To demonstrate the features of such theories, the thermoelastic-diffusive dynamic response of an infinite elastic medium containing a spherical cavity with variable material properties is investigated in three different generalized theories with memory-dependent effect, which are incorporated in a unified form. Of them, two are based on fractional-order derivative and the other one is based on the memory-dependent derivative. The corresponding governing equations are formulated and then solved by Laplace transform together with its numerical inversion. The distributions of the non-dimensional temperature, displacement, stress, concentration and chemical potential under the three theories are obtained and illustrated graphically for comparing with those obtained from one of the integer-order theories. The effects of the fractional-order parameter, the time-delay factor, the variable thermal conductivity and diffusivity on the variations of the considered variables are considered and discussed in detail.
WOS研究方向	Physics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000598198500001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155035]
专题	研究生院
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou, Peoples R China 2.Lanzhou Univ Technol, Key Lab Disaster Prevent & Mitigat Civil Engn Gan, Lanzhou, Peoples R China;
推荐引用方式 GB/T 7714	Peng, Wei,He, Tianhu. Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories[J]. WAVES IN RANDOM AND COMPLEX MEDIA,2021.
APA	Peng, Wei,&He, Tianhu.(2021).Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories.WAVES IN RANDOM AND COMPLEX MEDIA.
MLA	Peng, Wei,et al."Investigation on the generalized thermoelastic-diffusive problem with variable properties in three different memory-dependent effect theories".WAVES IN RANDOM AND COMPLEX MEDIA (2021).