Hybrid Model for Homogenization of the Elastoplastic Properties of Isotropic Matrix Composites

Федотов, Александр Фeдорович

doi:10.1007/s11029-017-9667-7

Cited by 7 publications

(2 citation statements)

References 19 publications

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“…If a composite medium strengthened by one family of fibers along the axis Ox 2 ( K 2 1 = ) with a reinforcement density ω and the directions Ox 1 and Ox 2 are the principal ones for stresses in the composition, then, on the basis of the assumptions introduced previously, it is found that the yield locus for such a composition generally is the convex octagon a b c d e f g h 2 2 2 2 2 2 2 2 (see Fig. 4b), and the corresponding loading modes, in view of designations (24), are…”

Section: Yield Criterion Of Tresca-hu Type For Component Materials Of...mentioning

confidence: 83%

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Yield Loci of Reinforced Plates Made from Rigid-Plastic Unequiresistant Materials Considering the Two-Dimensional Stress State in Fibers I. Unidirectional Reinforcement

Romanova

Yankovskii

2020

Mech Compos Mater

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Models for unidirectional fiber-reinforced hybrid composites of a regular periodic structure that allow one to determine the yield loci for fibrous composites are constructed. The plane stress state in all components of compositions having different tensile and compressive strengths is considered. Components of the compositions are homogeneous and isotropic, and their mechanical behavior is described by the associated flow rule for rigidplastic bodies with piecewise linear yield states of Johansen, Hu, and Tresca-Hu types. Analytical expressions for the equations of yield loci convenient for a further analysis and application are obtained. It is proved that the plastic flow in the reinforced medium is associated with the yield loci constructed. It is shown that, in contrast to the structural model with a one-dimensional stress state in fibers (Nemirovsky and Mruz-Shamiev models), considering the complex stress state in the reinforcement in the case of different yield stresses of composite components, in the general case, leads to yield loci with more than six regimes of plastic flow.

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Section: Yield Criterion Of Tresca-hu Type For Component Materials Of...mentioning

confidence: 83%

“…The problem of homogenization of dispersedly strengthened composites at their plastic deformation is considered in [21][22][23][24]. The elastoplastic behavior of fibrous compositions was modelled in [25] within the framework of the deformation theory of plasticity.…”

Section: Introductionmentioning

confidence: 99%

Yield Loci of Reinforced Plates Made from Rigid-Plastic Unequiresistant Materials Considering the Two-Dimensional Stress State in Fibers I. Unidirectional Reinforcement

Romanova

Yankovskii

2020

Mech Compos Mater

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Numerical Modeling of Plastic Deformation of Unidirectionally Reinforced Composites

Lvov

Kostromitskaya

2020

Mech Compos Mater

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Hybrid model of nonlinear homogenisation of anisotropic composites with ellipsoidal inclusions

Федотов

2021

Composites Part B: Engineering

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Hybrid Model for Homogenization of the Elastoplastic Properties of Isotropic Matrix Composites

Cited by 7 publications

References 19 publications

Yield Loci of Reinforced Plates Made from Rigid-Plastic Unequiresistant Materials Considering the Two-Dimensional Stress State in Fibers I. Unidirectional Reinforcement

Yield Loci of Reinforced Plates Made from Rigid-Plastic Unequiresistant Materials Considering the Two-Dimensional Stress State in Fibers I. Unidirectional Reinforcement

Numerical Modeling of Plastic Deformation of Unidirectionally Reinforced Composites

Hybrid model of nonlinear homogenisation of anisotropic composites with ellipsoidal inclusions

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