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Analysis of elastomeric composites based on fiber-reinforced systems. 1. Development of design methods for composite materials

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Abstract

A method for calculating the elastic properties of fiber-reinforced composites is discussed. The method is based on the structural macroscopic theory for reinforced media [1, 2], which can be used for analysis of stiff and soft composites. As a measure of the elastic properties of composites, the parameters of macroscopic deformations of the base system of Cartesian coordinates are used, with the axes oriented in a certain direction relative to the general reinforcement and loading field. The corresponding macrostresses in the loaded composites are found by a solution of the microboundary problem for a composite macroelement with sides parallel to reinforcement planes of the system. The microboundary-value problem is multiply connected and is formulated based on the information about the homogeneous field of macroscopic displacements specified by the parameters of macroscopic deformation. The problem is solved using the local system of coordinates whose axes are directed along some of the reinforcement trajectories.

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References

  1. V. M. Akhundov, “Structural theory of elastomeric composites based on fiber systems — invariant description,” Mech. Compos. Mater.,32, No.2, 156–175 (1996).

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  2. V. M. Akhundov, “Structural macroscopic theory of stiff and soft composites. Invariant description,” Mech. Compos. Mater.,34, No. 5, 419–432 (1998).

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  3. F. L. Chernous'ko and V. P. Banichuk, Variational Problems of Mechanics and Control [in Russian], Nauka, Moscow (1973).

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  4. K. F. Chernykh, Introduction to Anisotropic Elasticity [in Russian], Nauka, Moscow (1988).

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  5. O. Zenkevich and K. Morgan, Finite Elements and Approximation [in Russian], Mir, Moscow (1986).

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  6. J. Ortega and W. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables [Russian translation], Mir, Moscow (1975).

    Google Scholar 

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State Metallurgical Academy of Ukraine, Dniepropetrovsk, Ukraine. Translated from Mekhanika Kompozitnykh Materialov, Vol. 34, No. 6, pp. 733–745, November–December, 1998.

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Akhundov, V.M. Analysis of elastomeric composites based on fiber-reinforced systems. 1. Development of design methods for composite materials. Mech Compos Mater 34, 515–524 (1998). https://doi.org/10.1007/BF02254660

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  • DOI: https://doi.org/10.1007/BF02254660

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