Nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory and its application in 1D transient dynamic responses analysis for copper-metallic layered structure

被引：7

作者：

Li, Chenlin ^{[1
,2
]}

Liu, Jiaheng ^{[1
]}

He, Tianhu ^{[3
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Civil Engn, Lanzhou 730050, Gansu, Peoples R China

[2] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Shaanxi, Peoples R China

[3] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China

来源：

ACTA MECHANICA | 2024年 / 235卷 / 10期

基金：

中国国家自然科学基金;

关键词：

HEAT-CONDUCTION; HALF-SPACE; MODELS; EQUATIONS;

D O I：

10.1007/s00707-024-04050-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

To accurately predict transient thermoelastic diffusion responses of the metallic solids in nanoscale heating condition, this work aims to establish a nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory by simultaneously consider the nonlocal effects of elastic deformation, heat and mass transport with the aid of Eringen's nonlocal continuum mechanics. The proposed model is applied to investigate 1D transient dynamic response for copper-metallic layered structure by using eigenvalue approach. The influences of nonlocal characteristic lengths on the structural dynamic responses and wave propagations are evaluated and discussed.

引用

页码：6341 / 6363

页数：23

共 47 条

[1] Hyperbolic Two-Temperature Photo-Thermal Interaction in a Semiconductor Medium with a Cylindrical Cavity [J].

Abbas, Ibrahim ;

Saeed, Tareq ;

Alhothuali, Mohammed .

SILICON, 2021, 13 (06) :1871-1878

[2] Generalized thermoelastic interaction in functional graded material with fractional order three-phase lag heat transfer [J].

Abbas, Ibrahim A. .

JOURNAL OF CENTRAL SOUTH UNIVERSITY, 2015, 22 (05) :1606-1613

[3] Generalized thermoelastic diffusion in a nanoscale beam using eigenvalue approach [J].

Alzahrani, Faris S. ;

Abbas, Ibrahim A. .

ACTA MECHANICA, 2016, 227 (04) :955-968

[4]

Brancik L., 1999, K MATLAB 99 PRAHA MA, P27

[5] A nonlocal Fourier's law and its application to the heat conduction of one-dimensional and two-dimensional thermal lattices [J].

Challamel, Noel ;

Grazide, Cecile ;

Picandet, Vincent ;

Perrot, Arnaud ;

Zhang, Yingyan .

COMPTES RENDUS MECANIQUE, 2016, 344 (06) :388-401

[6] A dual-phase-lag diffusion model for predicting thin film growth [J].

Chen, JK ;

Beraun, JE ;

Tzou, DY .

SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 2000, 15 (03) :235-241

[7] A dual-phase-lag diffusion model for interfacial layer growth in metal matrix composites [J].

Chen, JK ;

Beraun, JE ;

Tzou, DY .

JOURNAL OF MATERIALS SCIENCE, 1999, 34 (24) :6183-6187

[8] EIGENFUNCTION EXPANSION METHOD TO THE SOLUTION OF SIMULTANEOUS-EQUATIONS AND ITS APPLICATION IN MECHANICS [J].

DAS, NC ;

BHAKTA, PC .

MECHANICS RESEARCH COMMUNICATIONS, 1985, 12 (01) :19-29

[9] ON DIFFERENTIAL-EQUATIONS OF NONLOCAL ELASTICITY AND SOLUTIONS OF SCREW DISLOCATION AND SURFACE-WAVES [J].

ERINGEN, AC .

JOURNAL OF APPLIED PHYSICS, 1983, 54 (09) :4703-4710

[10]

Eringen AC., 2003, Appl. Mech. Rev, V56, pB20, DOI DOI 10.1115/1.1553434

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