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

doi:10.1002/zamm.201900284

IR > 理学院

	Nonlocal response of multi-field coupling elastic medium based on fractional order strain
	Ma, Yongbin; Wang, Le; Huang, Fei
	2021-06
发表期刊	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN	0044-2267
卷号	101 期号:6
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.
关键词	Fourier transforms fractional order strain Laplace transforms nonlocal thermoelasticity three‐ dimensional modeling
DOI	10.1002/zamm.201900284
收录类别	SCIE ; SCOPUS ; EI
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000652294800001
出版者	WILEY-V C H VERLAG GMBH
EI入藏号	20212110396718
EI主题词	Fourier transforms
EI分类号	538.1.1 Soldering - 921 Mathematics - 921.3 Mathematical Transformations
来源库	WOS
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/148205
专题	理学院
通讯作者	Ma, Yongbin
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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).