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Acta Mechanica Sinica
Erschienen in: Acta Mechanica Sinica 1/2020

11.12.2019 | Research Paper

Nonlocal thermo-elastic constitutive relation of fibre-reinforced composites

verfasst von: Linjuan Wang, Jifeng Xu, Jianxiang Wang, Bhushan L. Karihaloo

Erschienen in: Acta Mechanica Sinica | Ausgabe 1/2020

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Abstract

The effective properties of composite materials have been predicted by various micromechanical schemes. For composite materials of constituents which are described by the classical governing equations of the local form, the conventional micromechanical schemes usually give effective properties of the local form. However, it is recognized that under general loading conditions, spatiotemporal nonlocal constitutive equations may better depict the macroscopic behavior of these materials. In this paper, we derive the thermo-elastic dynamic effective governing equations of a fibre-reinforced composite in a coupled spatiotemporal integral form. These coupled equations reduce to the spatial nonlocal peridynamic formulation when the microstructural inertial effects are neglected. For static deformation and steady-state heat conduction, we show that the integral formulation is superior at capturing the variations of the average displacement and temperature in regions of high gradients than the conventional micromechanical schemes. The approach can be applied to analogous multi-field coupled problems of composites.
Vorheriger Artikel Generalized stiffness and effective mass coefficients for power-law Euler–Bernoulli beams
Nächster Artikel Parametric identification of time-varying systems from free vibration using intrinsic chirp component decomposition

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Literatur
1.
Hashin, Z.: Analysis of composite materials—a survey. J. Appl. Mech. 50, 481–505 (1983)MATH
2.
Bazănt, Z.P., Jirasek, M.: Nonlocal integral formulations of plasticity and damage: survey of progress. J. Eng. Mech. 128, 1119–1149 (2002)
3.
Hu, G.K., Liu, X.N., Xun, F.: Micromechanics of heterogeneous micropolar mediums. Adv. Mech. 34, 195–214 (2004). (in Chinese)
4.
Askes, H., Aifantis, E.C.: Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results. Int. J. Solids Struct. 48, 1962–1990 (2011)
5.
Rueger, Z., Lakes, R.S.: Strong Cosserat elasticity in a transversely isotropic polymer lattice. Phys. Rev. Lett. 120, 065501 (2018)
6.
Drugan, W.J., Willis, J.R.: A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. J. Mech. Phys. Solids 44, 497–524 (1996)MathSciNetMATH
7.
Bigoni, D., Drugan, W.J.: Analytical derivation of Cosserat moduli via homogenization of heterogeneous elastic materials. J. Appl. Mech. 74, 741–753 (2007)MathSciNet
8.
Ma, G.C., Sheng, P.: Acoustic metamaterials: From local resonances to broad horizons. Sci. Adv. 2, 1501595 (2016)
9.
Willis, J.R.: Dynamics of composites. Continuum Micromechanics (CISM Lecture Notes)., pp. 265–290. Springer, Berlin (1997)
10.
Sridhar, A., Kouznetsova, V.G., Geers, M.G.D.: A general multiscale framework for the emergent effective elastodynamics of metamaterials. J. Mech. Phys. Solids 111, 414–433 (2018)MathSciNet
11.
Wang, L.J., Xu, J.F., Wang, J.X., et al.: A mechanism-based spatiotemporal non-local constitutive formulation for elastodynamics of composites. Mech. Mater. 128, 105–116 (2019)
12.
Silling, S.A.: Origin and effect of nonlocality in a composite. J. Mech. Mater. Struct. 9, 245–258 (2014)
13.
Silling, S.A.: Reformation of elasticity theory for discontinuities and longrange force. J. Mech. Phys. Solids 8, 175–209 (2000)MATH
14.
Gao, X.L., Li, K.: A shear-lag model for carbon nanotube-reinforced polymer composites. Int. J. Solids Struct. 42, 1649–1667 (2005)MATH
15.
Tzou, D.Y.: Macro- to Microscale Heat Transfer: The Lagging Behavior, 2nd edn. Taylor and Francis, New York (1997)
16.
Xu, F., Lu, T.J.: Introduction to Skin Biothermomechanics and Thermal Pain. Springer, Berlin (2011)
17.
Yu, Y.J., Li, C.L., Xue, Z.N., et al.: The dilemma of hyperbolic heat conduction and its settlement by incorporating spatially nonlocal effect. Phys. Lett. A 380, 255–261 (2016)
18.
Wang, L.J., Xu, J.F., Wang, J.X.: A peridynamic framework and simulation of non-Fourier and nonlocal heat conduction. Int. J. Heat Mass Transf. 118, 1284–1292 (2018)
19.
Oterkus, S., Madenci, E., Agwai, A.: Fully coupled peridynamic thermomechanics. J. Mech. Phys. Solids 64, 1–23 (2014)MathSciNetMATH
20.
Gerstle, W., Silling, S.A., Read, D., et al.: Peridynamic simulation of electromigration. Comput. Mater. Continua 8, 75–92 (2008)
21.
Oterkus, S., Madenci, E., Agwai, A.: Peridynamic thermal diffusion. J. Comput. Phys. 265, 71–96 (2014)MathSciNetMATH
22.
Chen, Z., Bobaru, F.: Selecting the kernel in a peridynamic formulation: a study for transient heat diffusion. Comput. Phys. Commun. 197, 51–60 (2015)
23.
Liao, Y., Liu, L.S., Liu, Q.W., et al.: Peridynamic simulation of transient heat conduction problems in functionally gradient materials with cracks. J. Therm. Stress 40, 1484–1501 (2017)
24.
Yu, Y.J., Tian, X.G., Xiong, Q.L.: Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity. Eur. J. Mech. A-Solids 60, 238–253 (2016)MathSciNetMATH
25.
Xue, Z.N., Yu, Y.J., Li, X.Y., et al.: Nonlocal thermoelastic analysis with fractional order strain in multilayered structures. J. Therm. Stress 41, 80–97 (2018)
26.
Wang, X.Q., Yang, Q.S.: A general solution for one dimensional chemo-mechanical coupled hydrogel rod. Acta Mech. Sin. 34, 392–399 (2018)MathSciNetMATH
27.
Wang, L.J., Xu, J.F., Wang, J.X.: Static and dynamic Green’s functions in peridynamics. J. Elast. 126, 95–125 (2017)MathSciNetMATH
28.
Kaddour, A.S., Hinton, M.J.: Input data for test cases used in benchmarking triaxial failure theories of composites. J. Composite Mater. 46, 2295–2312 (2012)
29.
Choi, I., Horgan, C.O.: Saint-Venant end effects for plane deformation of sandwich strips. Int. J. Solids Struct. 14, 187–195 (1978)MATH
30.
Luciano, R., Willis, J.R.: Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. J. Mech. Phys. Solids 51, 1075–1088 (2003)MathSciNetMATH
31.
Dang, X., Liu, Y., Wang, L.J., et al.: Solutions of the elastic fields in a half plane region containing multiple inhomogeneities with the equivalent inclusion method and the applications to properties of composites. Acta Mech. 230, 1529–1547 (2019)MathSciNetMATH
32.
Duan, H.L., Karihaloo, B.L.: Thermo-elastic properties of heterogeneous materials with imperfect interfaces: Generalized Levin’s formula and Hill’s connections. J. Mech. Phys. Solids 55, 1036–1052 (2007)MathSciNetMATH
33.
Wang, L.J., Xu, J.F., Wang, J.X.: The Green’s functions for peridynamic non-local diffusion. Proc. R. Soc. A 472, 20160185 (2017)MathSciNetMATH
34.
Nan, C.W., Birringer, R., Clarke, D.R., et al.: Effective thermal conductivity of particulate composites with interfacial thermal resistance. J. Appl. Phys. 81, 6692–6699 (1997)
35.
Alibeigloo, A.: Elasticity solution of functionally graded carbon nanotube-reinforced composite cylindrical panel subjected to thermo mechanical load. Composites Part B 87, 214–226 (2016)
36.
Silling, S.A., Zimmermann, M., Abeyaratne, R.: Deformation of a peridynamic bar. J. Elast. 73, 173–190 (2003)MathSciNetMATH
37.
Ke, L.L., Wang, Y.S., Yang, J., et al.: Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory. Acta Mech. Sin. 30, 516–525 (2014)MathSciNetMATH
38.
Li, D., He, T.: Investigation of generalized piezoelectric-thermoelastic problem with nonlocal effect and temperature-dependent properties. Heliyon. 4, e00860 (2018)
39.
Wang, Y.T., Zhou, X., Kou, M.: An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks. Eur. J. Mech. A Solids 73, 282–305 (2019)MathSciNetMATH
40.
Alali, B., Lipton, R.: Multiscale dynamics of heterogeneous media in the peridynamic formulation. J. Elast. 106, 71–103 (2012)MathSciNetMATH
41.
Buryachenko, V.A.: Effective properties of thermoperistatic random structure composites: Some background principles. Math. Mech. Solids 22, 1366–1386 (2017)MathSciNetMATH
Metadaten
Titel
Nonlocal thermo-elastic constitutive relation of fibre-reinforced composites
verfasst von
Linjuan Wang
Jifeng Xu
Jianxiang Wang
Bhushan L. Karihaloo
Publikationsdatum
11.12.2019
Verlag
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Erschienen in
Acta Mechanica Sinica / Ausgabe 1/2020
Print ISSN: 0567-7718
Elektronische ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-019-00916-4

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