Nonlenear deformation of granular composites

Authors

  • E. Shikula

DOI:

https://doi.org/10.32703/2617-9040-2019-34-2-5

Keywords:

зернистый композитный материал, нелинейность деформирования компонентов, эффективные деформативные свойства, напряженно-деформированное состояние, влияние нелинейности

Abstract

Nonlinear deformation of granular composite material is investigated. A model of nonlinear deformation of granular composite materials is proposed. Granular composite is considered as a two-component material of random structure. The model is based on stochastic differential equations of the physically nonlinear theory of elasticity. The solution of the problem of the stress-strain state and effective properties of the composite material is constructed by the method of conditional averaging of L.P. Khoroshun. An algorithm for determining the effective deformative properties of a granular composite with physically non-linear components is developed. The solution of nonlinear equations that take into account the physical nonlinearity of the components is constructed by an iterative method. The law of the relationship between macrostresses and macrostrains in a granular composite is established, as well as the dependence of average strains and stresses in its components on macrostresses. Composite deformation curves are constructed for different values of the volume content of its components. The dependence of the effective deformative properties of the granular composite on the volume contents of the components was studied. The influence of components non-linearity on the deformation of a composite material is investigated. It has been established that the non-linearity of the components significantly affects on the effective deforming properties and the stress-strain state of granular composites

References

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Published

2019-12-26

How to Cite

Shikula, E. (2019). Nonlenear deformation of granular composites. Transport Systems and Technologies, (34), 217–229. https://doi.org/10.32703/2617-9040-2019-34-2-5