Nonlocal response of multi-field coupling elastic medium based on fractional order strain

doi:10.1002/zamm.201900284

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	Nonlocal response of multi-field coupling elastic medium based on fractional order strain
	Ma, Yongbin; Wang, Le; Huang, Fei
刊名	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
	2021
卷号	101 期号:6
关键词	Fourier transforms fractional order strain Laplace transforms nonlocal thermoelasticity three‐ dimensional modeling
ISSN号	0044-2267
DOI	10.1002/zamm.201900284
英文摘要	In this work, a three-dimensional model of the generalized thermoelasticity with fractional order stain and nonlocal effect is established. Nonlocal effect is used to depict size-dependence feature and fractional order strain is considered to describe memory-dependence properties. The Laplace and double Fourier transform techniques are applied to the three-dimensional half-space model subjected to thermal shock and traction free surface. A complex inversion formula of the transform with the techniques of the Fourier expansion been applied to obtain the inverses of double Fourier transforms, and Laplace transforms. Numerical results for the temperature, stress, strain and displacement are represented graphically based on various values of the fractional order strain parameter and elastic nonlocal parameter. The fractional order strain and nonlocal parameter has a limited effect on the thermal waves while it has significant effects on the mechanical waves.
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	WILEY-V C H VERLAG GMBH
WOS记录号	WOS:000652294800001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148205]
专题	理学院
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Ma, Yongbin,Wang, Le,Huang, Fei. Nonlocal response of multi-field coupling elastic medium based on fractional order strain[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2021,101(6).
APA	Ma, Yongbin,Wang, Le,&Huang, Fei.(2021).Nonlocal response of multi-field coupling elastic medium based on fractional order strain.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,101(6).
MLA	Ma, Yongbin,et al."Nonlocal response of multi-field coupling elastic medium based on fractional order strain".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 101.6(2021).