Abstract
The present paper is concerned with composites in which the constituent interfaces are weak in shear and therefore exhibit shear deformation associated with sliding. Thermomechanical loadings of such systems are considered which consist of homogeneous traction or displacement boundary conditions and a uniform temperature change on the outside surface of the composite. For binary systems with isotropic constituents, it is shown that the actual fields in the purely thermal problem can be uniquely determined from the solution of the purely mechanical problem. This correspondence relation is used to determine the effective thermal strain and stress tensors on the basis of the effective mechanical properties. For multi—phase systems with anisotropic constituents undergoing interface slip and separation, the theorem of virtual work is used to establish a similar relation between the effective thermal tensors and the mechanical concentration factors and constituent properties of the composite.
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References
Aboudi, J., 1987, “Damage in Composites — Modeling of Imperfect Bonding,” Comp. Sci. and Tech. 28, pp. 103–128.
Achenbach, J.D. and Zhu, H., 1989, “Effect of Interfacial Zone on Mechanical Behavior and Failure of Fiber—Reinforced Composites,” J. Mech. Phys. Solids, 37, pp. 381–393.
Benveniste, Y., 1985, “The Effective Mechanical Behaviour of Composite Materials with Imperfect Contact Between the Constituents,” Mechanics of Materials, 4, pp. 197–208.
Benveniste, Y. and Aboudi, J., 1984 “A Continuum Model for Fiber Reinforced Materials with Debonding,” Int. J. Solids Structures, 20, 11/12, pp. 935–951.
Benveniste, Y. and Dvorak, G. J., 1990, “On a Correspondence Between Mechanical and Thermal Effects in Two—Phase Composites,” in Toshio Mura Anniversary Volume Micromechanics and Inhomogeneity, Editors: Weng, G.J., Taya, M., and Abe, H, Springer Verlag, pp. 65–81.
Benveniste, Y. and Miloh, T., 1986, “The Effective Conductivity of Composites with Imperfect Thermal Contact at Constituent Interfaces,” Int. J. Eng. Sci. 24, pp. 1537–1552.
Dvorak, G.J., 1983, “Metal Matrix Composites: Plasticity and Fatigue,” in Mechanics of Composite Materials — Recent Advances, edited by Z. Hashin and C.T. Herakovich, Pergamon Press, New York, pp. 73–92.
Dvorak, G.J., 1986, “Thermal Expansion of Elastic—Plastic Composite Materials,” J. Appl. Mech. 53, pp. 737–743.
Dvorak, G.J. and Chen, T., 1989, “Thermal Expansion of Three—Phase Composite Materials” J. Appl. Mech. 56, pp. 418–422.
Dvorak, G.J., 1990, “On Uniform Fields in Heterogeneous Media,” to appear in Proceedings A of the Royal Society.
Hashin, Z., 1990, “Thermoelastic Properties of Fiber Composites with Imperfect Interface,” Mechanics of Materials 8, pp. 333–348.
Jasiuk, L, Mura, T., and Tsuchida, E., 1988, “Thermal Stresses and Thermal Expansion Coefficients of Short Fiber Composites with Sliding Interfaces,” J. of Engng. Mat. and Tech., 110, pp. 96–100.
Jasiuk, I. and Tong, Y., 1989, “The Effect of Interface on the Elastic Stiffness of Composites,” in Mechanics of Composite Materials and Structures, edited by J.N. Reddy and J.L. Teply, AMD—Vol. 100, pp. 49–54.
Laws, N., 1973, “On the Thermostatics of Composite Materials,” J. Mech. Phys. Solids 21, pp. 9–17.
Lene, F. and Leguillon, D., 1982, “Homogeneized Constitutive Law for a Partially Cohesive Composite Material,” Int. J. Solids Structures 18, pp. 443–158.
Levin, V.M., 1967, “Thermal Expansion Coefficients of Heterogeneous Materials”, Mekhanika Tverdago Tela, 2, pp. 88–94. English Translation Mechanics of Solids, 11, pp. 58–61.
Mura, T., Jasiuk, I. and Tsuchida, E. 1985, “The Stress Field of a Sliding Inclusion,” Int. J. Solids and Struct., 12, pp. 1165–1179.
Rosen, B.W. and Hashin Z., 1970, “Effective Thermal Expansion Coefficients and Specific Heats of Composite Materials”, Int. J. Engng. Sci. 8, pp. 157–173.
Schulgasser, K., 1989, “Environmentally—Induced Expansion of Heterogeneous Media,” J. Appl. Mech. 56, pp. 546–549.
Tsuchida, E., Mura, T. and Dundurs, J., 1986, “The Elastic Field of an Elliptic Inclusion with a Slipping Interface,” J. Appl. Mech. 53, pp. 103–107.
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Benveniste, Y., Dvorak, G.J. (1991). On a Correspondence between Mechanical and Thermal Fields in Composites with Slipping Interfaces. In: Dvorak, G.J. (eds) Inelastic Deformation of Composite Materials. International Union of Theoretical and Applied Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9109-8_4
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DOI: https://doi.org/10.1007/978-1-4613-9109-8_4
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