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Analytical solutions for coated circular inhomogeneity with non-uniform axisymmetric eigenstrain distribution

Yan, Jiyang; Zhu, Junbei; Ma, Lifeng

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Authors

Jiyang Yan

Junbei Zhu

LIFENG MA Lifeng.Ma@nottingham.ac.uk
Sir Joseph Pope Fellowship



Abstract

In this paper, a general model for coated circular inhomogeneous inclusion problems is proposed and studied, where non-uniform axisymmetric eigenstrains are independently distributed within the circular zone and annular zone (coating layer). The main difficulties are from the dissimilarity of three-phase materials, the non-uniform axisymmetric eigenstrain distribution, and the presence of intermediate annularity, which are hardly treated within the classical Eshelby inclusion mechanics. By employing the equivalent eigenstrain principle, these challenges can be completely tackled, and a general explicitly analytical solution is obtained. From this solution, a couple of solutions for typical inclusion problems are readily degenerated, which have been derived with great efforts in literature. With the general model and its solution, the analytical solution for the coated hollow-cored inhomogeneous inclusion problem with non-uniform axisymmetric eigenstrain is provided, and an eigenstrain-based nano-inclusion model is subsequently proposed. The applications of coated circular inhomogeneity with eigenstrains can be found in coated fiber composites, thermoelastic problems, and micro- & nano-mechanics.

Journal Article Type Article
Acceptance Date Mar 11, 2022
Online Publication Date Mar 19, 2022
Publication Date May 15, 2022
Deposit Date Jun 30, 2023
Publicly Available Date Jul 10, 2023
Journal International Journal of Solids and Structures
Print ISSN 0020-7683
Electronic ISSN 1879-2146
Publisher Elsevier BV
Peer Reviewed Peer Reviewed
Volume 243
Article Number 111567
DOI https://doi.org/10.1016/j.ijsolstr.2022.111567
Keywords Applied Mathematics; Mechanical Engineering; Mechanics of Materials; Condensed Matter Physics; General Materials Science; Modeling and Simulation
Public URL https://nottingham-repository.worktribe.com/output/22454095
Publisher URL https://www.sciencedirect.com/science/article/pii/S0020768322001123?via%3Dihub
Additional Information This article is maintained by: Elsevier; Article Title: Analytical solutions for coated circular inhomogeneity with non-uniform axisymmetric eigenstrain distribution; Journal Title: International Journal of Solids and Structures; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.ijsolstr.2022.111567; Content Type: article; Copyright: © 2022 Elsevier Ltd. All rights reserved.

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