Dynamic thermo-mechanical coupled response of random particulate composites：A statistical two-scale method

doi:10.1088/1674-1056/23/7/076501

Abstract This paper focuses on the dynamic thermo-mechanical coupled response of random particulate composite materials. Both the inertia term and coupling term are considered in the dynamic coupled problem. The formulation of the problem by a statistical second-order two-scale (SSOTS) analysis method and the algorithm procedure based on the finite-element difference method are presented. Numerical results of coupled cases are compared with those of uncoupled cases. It shows that the coupling effects on temperature, thermal flux, displacement, and stresses are very distinct, and the micro-characteristics of particles affect the coupling effect of the random composites. Furthermore, the coupling effect causes a lag in the variations of temperature, thermal flux, displacement, and stresses.

Keywords: random particulate composites statistical second-order two-scale (SSOTS) analysis method thermo-mechanical coupling effect numerical algorithm

Received: 05 November 2013
Revised: 19 February 2014
Accepted manuscript online:

PACS:	65.40.-b	(Thermal properties of crystalline solids)
	68.35.-p	(Solid surfaces and solid-solid interfaces: structure and energetics)

Fund: Project supported by the Special Funds for the National Basic Research Program of China (Grant No. 2012CB025904) and the National Natural Science Foundation of China (Grant Nos. 90916027 and 11302052).

Corresponding Authors: Yang Zi-Hao
E-mail: yzh@mail.nwpu.edu.cn

About author: 65.40.-b; 68.35.-p

Cite this article:

Yang Zi-Hao (杨自豪), Chen Yun (陈云), Yang Zhi-Qiang (杨志强), Ma Qiang (马强) Dynamic thermo-mechanical coupled response of random particulate composites：A statistical two-scale method 2014 Chin. Phys. B 23 076501

[1]	Biot M A 1956 J. Appl. Phys. 27 240
[2]	Boley B and Weiner J 1960 Theory of Thermal Stress (New York: John Wiley)
[3]	Takeuti Y and Furukawa T 1981 J. Appl. Mech. 48 113
[4]	Abd-Alla A, Mahmoud S and Abo-Dahab S 2012 Meccanica 47 1295
[5]	Danilovskaya V 1950 Prikl. Mat. Mekh. 14 316
[6]	Yang Y C and Chu S S 2001 Int. Commun. Heat. Mass. 28 1103
[7]	Manoach E and Ribeiro P 2004 Int. J. Mech. Sci. 46 1589
[8]	Hetnarski R B and Eslami M R 2008 Thermal Stresses: Advanced Theory and Applications (Berlin: Springer Verlag)
[9]	Kögl M and Gaul L 2003 Arch. Appl. Mech. 73 377
[10]	Ma Y E and Sun Q 2007 J. Mech. Strength. 29 483
[11]	Lee H L, Yang Y C and Chu S S 2002 J. Therm. Stresses 25 1105
[12]	Farhat C, Park K and Dubois-Pelerin Y 1991 Comput. Meth. Appl. M. 85 349
[13]	Feng Y P and Cui J Z 2003 Acta Mech. Sin. 19 585
[14]	Zhang H, Zhang S, Bi J and Schrefler B 2007 Int. J. Numer. Meth. Eng. 69 87
[15]	Yu W and Tang T 2007 Int. J. Solids Struct. 44 3738
[16]	Aboudi J, Pindera M and Arnold S 2001 J. Appl. Mech. 68 697
[17]	Terada K, Kurumatani M, Ushida T and Kikuchi N 2010 Comput. Mech. 46 269
[18]	Abbas I A, Kumar R and Chawla V 2012 Chin. Phys. B 21 084601
[19]	Francfort G A 1983 SIAM J. Math. Anal. 14 696
[20]	Parnell W J 2006 J. Eng. Math. 56 1
[21]	Aboudi J 2008 J. Eng. Math. 61 111
[22]	Khan K A, Barello R, Muliana A H and Lévesque M 2011 Mech. Mater. 43 608
[23]	Vel S S and Goupee A J 2010 Comput. Mater. Sci. 48 22
[24]	Cioranescu D and Donato P 2000 An Introduction to Homogenization (New York: Oxford University Press)
[25]	Cui J Z, Shin T M and Wang Y L 1999 Strcut. Eng. Mech. 7 601
[26]	Yang Z Q, Cui J Z and Li B W 2014 Chin. Phys. B 23 030203
[27]	Feng Y P, Cui J Z and Deng M X 2009 Acta Phys. Sin. 58 327 (in Chinese)
[28]	Wan J J 2007 Multi-Scale Analysis Method for Dynamic Coupled Thermoelasticity of Composite Structures (Ph.D. Dissertation) (Beijing: Academy of Mathematics and System Sciences) (in Chinese)
[29]	Li Y Y and Cui J Z 2004 Sci. China Ser. A: Math. 47 101
[30]	Li Y Y and Cui J Z 2005 Compos. Sci. Technol. 65 1447
[31]	Han F, Cui J Z and Yu Y 2009 Acta Phys. Sin. 58 S1 (in Chinese)
[32]	Yang Z H and Cui J Z 2013 Comput. Mater. Sci. 69 359
[33]	Yu Y, Cui J Z and Han F 2008 Compos. Sci. Technol. 68 2543
[34]	Han F 2010 The Second-Order Two-Scale Method for Predicting Mechanical Performance of Random Composite Materials (Ph.D. Dissertation) (Xi'an: Northwestern Polytechnical University) (in Chinese)
[35]	Reddy J N 1993 An Introduction to the Finite Element Method (New York: McGraw-Hill)
[36]	Cui J Z 2001 Invited Presentation on‘Chinese Conference of Computational Mechanics, CCCM-2001’ in Proceedings on‘Computational Mechanics in Science and Engineering’, December 5-8, 2001 Peking, China, p. 33

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