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Abstract

This paper presents a hybrid rule of mixtures for calculating the complete set of effective three-dimensional thermoelastic properties of a composite laminate when it is approximated as an equivalent, homogeneous, anisotropic solid. The laminate can be made of generally anisotropic layers with arbitrary layup sequence. This hybrid rule of mixtures is based on the exact solution obtained using the recently discovered mechanics of structure genome. Since mechanics of structure genome minimizes the loss of accuracy for homogenization, the three-dimensional thermoelastic properties obtained using the mechanics of structure genome-based hybrid rule of mixtures will be the most accurate one could obtain for composite laminates. The results of the hybrid rule of mixtures are compared with several other representative methods for predicting thermoelastic properties of composite laminates.

Keywords

Through-the-thickness properties composite laminates thermoelastic properties mechanics of structure genome

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References

Reddy

. Mechanics of laminated composite plates and shells: theory and analysis., 2nd ed. New York: CRC Press, 2003.

Liu N and Yu W. Evaluation of Smeared Properties Approaches and Mechanics of Structure Genome for Analyzing Composite Beams. Mechanics of Advanced Materials and Structures. http://dx.doi.org/10.1080/15376494.2017.1330977.

Hashin Z, Rosen W and Pipes RB. Nonlinear effects on composite laminate thermal expansion. NASA Contractor Report 3088, NASA, 1979.

An introduction to micromechanics. In: Carrera

(ed). Composite materials and structures in aerospace engineering: applied mechanics and materials. volume 828, Switzerland: Trans Tech Publications Ltd, 2016, pp. 3–24.

Zohdi

Wriggers

. An introduction to computational micromechanics., 1st ed. Berlin: Springer-Verlag, 2005.

Hyer

. Stress analysis of fiber-reinforced composite materials, New York: McGraw Hill, 1998.

Gibson

. Through-thickness elastic constants of composite laminates. J Compos Mater 2012; 47: 3487–3499.

Herakovich

. Composite laminates with negative through-the-thickness Poisson’s ratios. J Compos Mater 1984; 18: 447–455.

Enie

Rizzo

. Three-dimensional laminate moduli. J Compos Mater 1970; 4: 150–154.

10.

Chou

Carleone

Hsu

. Elastic constants of layered media. J Compos Mater 1972; 6: 80–93.

11.

Kollar

Springer

. Mechanics of composite structures, Cambridge, UK: Cambridge University Press, 2009.

12.

McCartney

Kelly

. Effective thermal and elastic properties of

[+ θ / - θ]_{s}

laminates. Compos Sci Technol 2007; 67: 646–661.

13.

. A unified theory for constitutive modeling of composites. J Mech Mater Struct 2016; 11: 379–411.

14.

Liu

. A novel approach to analyze beam-like composite structures using mechanics of structure genome. Adv Eng Softw 2016; 100: 238–251.

15.

Peng

Goodsell

Pipes

et al.

Generalized free-edge stress analysis using mechanics of structure genome. J Appl Mech 2016; 83: Article. 101013.

16.

Sertse

Goodsell

Ritchey

et al.

Challenge problems for the benchmarking of micromechanics analysis: level i initial results. J Compos Mater. DOI: https://doi.org/10.1177/0021998317702437.

17.

Sun

Vaidya

. Prediction of composite properties from a representative volume element. Compos Sci Technol 1996; 56: 171–179.

18.

Fish

. Practical multiscaling, New York: Wiley, 2013.

19.

Berdichevsky

. Variational principles of continuum mechanics, volumes 1 and 2, Berlin: Springer, 2009.

20.

Tang

. A variational asymptotic micromechanics model for predicting thermoelastic properties of heterogeneous materials. Int J Solids Struct 2007; 44: 7510–7525.

21.

Liu

Rouf

Peng

et al.

Two-step homogenization of textile composites using mechanics of structure genome. Compos Struct 2017; 171: 252–262.

Three-dimensional thermoelastic properties of general composite laminates

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