TRANSACTIONS OF THE KRYLOV STATE RESEARCH CENTRE

Science journal

 
ISSN (print) 2542-2324 /(online) 2618-8244


Articles of The Transactions of KSRC








Spherical inclusions, their arrangements and effect upon material stresses



Full text article ( in russian)

Year

 
2020

Issue

 
20201

Volume

 
1

Pages

 
101-107

Caption

 
Spherical inclusions, their arrangements and effect upon material stresses

Authors

 
N. Berdennikov, P. Dodonov, A. Zadumov, N. Fedonyuk

Keywords

 
microsphere plastic, environment, matrix, microspheres, analytical solution, superposition principle, finiteelement method.

DOI

 
10.24937/2542-2324-2020-1-S-I-101-107

Summary

 
Object and purpose of research. This paper discusses an isotropic medium with arbitrary arrangement of hollow spherical inclusions. An example of such medium is microsphere foam consisting of a polymeric matrix densely filled with hollow glass microspheres. The main purpose of this work is to investigate the effect of geometry, elasticity and mutual arrangement of these inclusions upon stress concentration in the material, taking into account their interaction with each other and the boundaries of material.
Subject matter and methods.The input data for this study were composition and structure of microsphere plastic, as well as parameters of its components (polymeric matrix and glass microspheres). The research was performed in ANSYS software package as per linear elasticity theory and finite-element method.
Main results. The study yielded stress concentration in the spherical inclusions and the matrix, depending on their elasticity and arrangement with respect to each other and the boundaries of the material. Test data analysis has shown a good correlation between analytical and FEM-based ANSYS solution, as well as the possibility to apply the superposition method in analytical solutions in order to take into account the inter action of inclusions with each other and with material boundary.
Conclusion. It was found that stress concentrations near hollow spherical inclusions mostly depend on the difference between their volume stiffness and the stiffness of their environment and that too dense concentration of inclusions with respect to each other and the boundary might seriously increase stress concentrations in both the inclusions and their environment. Superposition of analytical solutions for systems with several inclusions yields rather accurate stress-strain state components, which could become the basis for a structural model of straining and failure of heterogeneous materials, like microsphere plastic.

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ISSN (print) 2542-2324 / ISSN (online) 2618-8244

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