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2022 | OriginalPaper | Buchkapitel

Computer Method of Determining the Yield Surface of Variable Structure of Heterogeneous Materials Based on the Statistical Evaluation of Their Elastic Characteristics

verfasst von : Mariya Shapovalova, Oleksii Vodka

Erschienen in: Nonstationary Systems: Theory and Applications

Verlag: Springer International Publishing

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Abstract

The study of the material microstructure allows obtaining information about the state of the part without additional tests and full-scale experiments. The paper offers computer methods for constructing parametric, statistically equivalent models of cast iron microstructure with the inclusion of spheroidal graphite. The studied material has a transient microstructure that exhibits variability at various material points. To analyze the unsteadiness of deformations, the Monte Carlo method is used. A finite element model is constructed to find the elastic characteristics of the material. The stress state is considered based on plane models. Numerical experiments are carried out for various concentrations of inclusions. The results obtained for the elastic constants are statistically averaged, and the dependences of the Poisson’s ratio, the moduli of elasticity, and the shear moduli on the concentration of the inclusions are established. For veracity assessment, the values obtained are compared with those obtained using the mixture rule. The results of the application of the rule confirm the correctness of the built models. The yield surfaces are found, going beyond the surface indicates the appearance of plastic strains in the material.

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Titel: Computer Method of Determining the Yield Surface of Variable Structure of Heterogeneous Materials Based on the Statistical Evaluation of Their Elastic Characteristics
verfasst von: Mariya Shapovalova
Oleksii Vodka
Verlag: Springer International Publishing
Buch: Nonstationary Systems: Theory and Applications
Print ISBN: 978-3-030-82191-3

Electronic ISBN: 978-3-030-82110-4

Copyright-Jahr: 2022
DOI: https://doi.org/10.1007/978-3-030-82110-4_21

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