Nonlinear elastic moduli of composite materials with nonlinear spherical inclusions dispersed in a nonlinear matrix

A. A. Semenov; Y. M. Beltukov

doi:10.1016/j.ijsolstr.2020.01.016

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arXiv · 1905.02301

Nonlinear elastic moduli of composite materials with nonlinear spherical inclusions dispersed in a nonlinear matrix

A. A. Semenov·Y. M. Beltukov

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Abstract

A theory is developed for evaluation of nonlinear elastic moduli of composite materials with nonlinear inclusions dispersed in another nonlinear material (matrix). We elaborate a method aimed for determination of elastic parameters of a composite: its linear elastic moduli (second-order elastic constants) and nonlinear elastic moduli, which are known as the Murnaghan moduli (third-order elastic constants). We find an analytical form for the effective Murnaghan moduli of a composite with spherical inclusions. The effective moduli depend linearly on Murnaghan moduli of constituents. The results obtained have been verified through numerical modeling using the finite element method.

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BibTeX RIS

A. A. Semenov, Y. M. Beltukov. 2019-05-07. Nonlinear elastic moduli of composite materials with nonlinear spherical inclusions dispersed in a nonlinear matrix. https://doi.org/10.1016/j.ijsolstr.2020.01.016

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