EFFECTIVE SPECIFIC HEATS OF SPHERICAL PARTICULATE COMPOSITES WITH INHOMOGENEOUS INTERPHASES

Zhang Zhenguo; Chen Yongqiang; Huang Zhuping

doi:10.6052/0459-1879-14-190

Volume 46 Issue 6

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Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 2014 > 46(6): 896-904

Zhang Zhenguo, Chen Yongqiang, Huang Zhuping. EFFECTIVE SPECIFIC HEATS OF SPHERICAL PARTICULATE COMPOSITES WITH INHOMOGENEOUS INTERPHASES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 896-904. doi: 10.6052/0459-1879-14-190

Citation:

Zhang Zhenguo, Chen Yongqiang, Huang Zhuping. EFFECTIVE SPECIFIC HEATS OF SPHERICAL PARTICULATE COMPOSITES WITH INHOMOGENEOUS INTERPHASES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 896-904. doi: 10.6052/0459-1879-14-190

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EFFECTIVE SPECIFIC HEATS OF SPHERICAL PARTICULATE COMPOSITES WITH INHOMOGENEOUS INTERPHASES

doi: 10.6052/0459-1879-14-190

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China

Funds: The project was supported by the National Natural Science Foundation of China (11272007, 11332001) and the Major State Basic Research Devel- opment Program of China (2010CB731503).

Received Date: 2014-06-30
Rev Recd Date: 2014-08-31
Publish Date: 2014-11-18

Abstract

Abstract

The effective thermoelastic properties of spherical particulate composites with inhomogeneous interphases are studied. Particular emphasis is put on discussing the influence of the radial distribution of the interphase properties on the effective specific heats. Firstly, the inhomogeneous interphase is modeled by multiple concentric layers and the material properties are assumed to be homogeneous in each layer. The composite-sphere model, in which an interphase layer is embedded between the matrix and inclusion, is applied to derive the effective bulk modulus, thermal expansion coefficient (CTE) and specific heats. Secondly, for the case that the interphase properties vary continuously along the radial direction, a set of differential equations are established to determine the effective themoelastic properties of the composites. When the distribution of the Young's modulus of the interphase follows a power law, the analytical expressions of the effective properties are obtained by solving the differential equations. The effective CTE predicted by the present model is in good agreement with the experimental data. It is found that the distribution of both the interphase elastic moduli and the interphase CTE have great effects on the effective specific heats; however, only the distribution of the interphase CTE has significant impacts on the effective CTE.
- particulate composites,
- inhomogeneous interphase,
- composite-sphere model,
- specific heats,
- radial distribution

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References(27)

References

Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, 1973, 21(5): 571-574

Hashin Z. The elastic moduli of heterogeneous materials. Journal of Applied Mechanics, 1962, 29(1): 143-150

Hill R. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids, 1965, 13(4): 213-222

Christensen RM, Lo KH. Solutions for effective properties of three-phase sphere and cylinder models. Journal of the Mechanics and Physics of Solids, 1979, 27(4): 315-330

Mclaughlin R. A study of the differential scheme for composite materials. International Journal of Engineering Science, 1997, 15(4): 237-244

Theocaris PS. The Mesophase Concept in Composites. New York: Springer-Verlag, 1987

张娟娟,高原文. 界面及热残余应力对超磁致伸缩复合材料有效性能的影响. 固体力学学报,2012, 33(2):136-145 (Zhang Juanjuan, Gao Yuanwen. Effects of interface and thermal residual stress on effective properties of giant magnetostrictive composites. Chinese Journal of Solid Mechanics, 2012, 33(2): 136-145 (in Chinese))

杜修力,金浏. 考虑过渡区界面影响的混凝土宏观力学性质研究. 工程力学,2012, 29(12):72-79 (Du Xiuli, Jin Liu. Research on the influence of interfacial transition zone on the macro-mechanical properties of concrete. Engineering Science, 2012, 29(12): 72-79 (in Chinese))

喻明,朱平,马颖琦. 考虑界面效应的复合泡沫塑料弹性性能数值仿真预测与试验研究. 复合材料学报,2013,30(3):225-232 (Yu Ming, Zhu Ping, Ma Yingqi. Experimental study and numerical prediction of the elastic properties of syntactic foams considering the interfacial effect. Acta Materiae Compostae Sinica, 2013, 30(3): 225-232 (in Chinese))

陈龙,朱兴一. 求解具有弱界面的复合材料有效性能的近似模型与边界元法. 复合材料学报,2013,30(2):137-143 (Chen Long, Zhu Xingyi. Application of approximation model and boundary element method in solving effective properties of composites with imperfect interface. Acta Materiae Compostae Sinica, 2013, 30(2): 137-143 (in Chinese))

Lu P, Leong YW, Pallathadka PK, et al. Effective moduli of nanoparticle reinforced composites considering interphase effect by extended double-inclusion model -Theory and explicit expressions. International Journal of Engineering Science, 2013, 73: 33-55

Shabana YM. A micromechanical model for composites containing multi-layered interphases. Composite Structures, 2013, 101: 265-273

Zheng JJ, Zhou XZ, Jin XY. An n layered spherical inclusion model for predicting the elastic moduli of concrete with inhomogeneous ITZ. Cement & Concrete Composites, 2012, 34: 716-723

Wang W, Jasiuk I. Effective elastic constants of particulate composites with inhomogeneous interphases. Journal of Composite Materials, 1998, 32(5): 1391-1422

Huang ZP, Wu YM, Zhong Y, et al. The effective moduli of particle-filled composite with continuously varying interphase. In: Pyrz R, Schjodt-Thomsen J, Rauhe JC, eds. Proceedings of International Conference on New Challenges in Mesomechanics, Aalborg University, Denmark, 2002, 67-73

Wu YM, Huang ZP, Zhong Y, et al. Effective moduli of particle-filled composite with inhomogeneous interphase: Part I -bounds. Composites Science and Technology, 2004, 64(9): 1345-1351

Zhong Y, Wang JX, Wu YM, et al. Effective moduli of particle-filled composite with inhomogeneous interphase: Part Ⅱ -mapping method and evaluation. Composites Science and Technology, 2004, 64(9): 1353-1362

Sideridis E, Papanicolaou GC. A theoretical model for the prediction of thermal expansion behaviour of particulate composites. Rheologica Acta, 1988, 27(6): 608-16

Lombardo N. Effect of an inhomogeneous interphase on the thermal expansion coefficient of a particulate composite. Composites Science and Technology, 2005, 65(14): 2118-2128

Rosen BW, Hashin Z. Effective thermal expansion coefficients and specific heats of composite materials. International Journal of Engineering Science, 1970, 8(2): 157-173

Chen YQ, Huang RC, Huang ZP, et al. Effective specific heats of multi-phase thermoelastic composites. Acta Mechanica Solida Sinica, 2012, 25(3): 262-276

Herve E. Thermal and thermoelastic behaviour of multiply coated inclusion-reinforced composites. International Journal of Solids and Structures, 2002, 39(4): 1041-1058

Holliday L, Robinson J. Review: the thermal expansion of composites based on polymers. Journal of Materials Science, 1973, 8(3): 301-11

Dai LH, Huang ZP, Wang R. An explicit expression of the effective moduli for composite materials filled with coated inclusions. Acta Mechanica Sinica, 1998, 14(1): 37-52

Christensen RM. Mechanics of composite materials. New York: John Willey & Sons, 1979: 325-336

Vörös G, Pukánszky B. Effect of a soft interlayer with changing properties on the stress distribution around inclusions and yielding of composites. Composites Part A: Applied Science and Manufacturing, 2001, 32(3): 343-352

Vörös G, Pukánszky B. Prediction of the yield stress of composites containing particles with an interlayer of changing properties. Composites Part A: Applied Science and Manufacturing, 2002, 33(10): 1317-1322

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