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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 5/2020

11.12.2019 | Original

Analysis of a finite matrix with an inhomogeneous circular inclusion subjected to a non-uniform eigenstrain

verfasst von: Biao Wang, Wen Zhao, Lifeng Ma

Erschienen in: Archive of Applied Mechanics | Ausgabe 5/2020

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Abstract

The mechanical model of eigenstrains could not be always taken as uniform distributions in engineering applications when performing micromechanics analysis of the inclusion-matrix system. In the framework of plane strain, this paper presents the analytical solution to an inhomogeneous circular inclusion with a non-uniform eigenstrain concentrically embedded in a finite matrix. First, the equivalent eigenstrain equation is extended to satisfy the condition of the finite matrix through the equivalent eigenstrain principle. The modified equation is used to transform the inhomogeneous inclusion in a finite matrix into the corresponding homogeneous inclusion. Then, the model of the inhomogeneous circular inclusion is accordingly formulated, and the stress and strain distributions are found. Finally, the stresses for the case of the polynomial series distribution of eigenstrains are obtained. The effects of non-uniformity of eigenstrains, the material mismatch and the inclusion size on stress distributions are shown graphically. The results indicate the stiffer inclusion induces the larger stress under the specific eigenstrain distribution. The analytical solutions obtained here also help to predict failure and optimize the designs of composite structures.
Vorheriger Artikel Nonlinear effects of induced unbalance in the rod fastening rotor-bearing system considering nonlinear contact
Nächster Artikel Observance of Stoneley waves at the Lamb wave dispersion in stratified media

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Metadaten
Titel
Analysis of a finite matrix with an inhomogeneous circular inclusion subjected to a non-uniform eigenstrain
verfasst von
Biao Wang
Wen Zhao
Lifeng Ma
Publikationsdatum
11.12.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 5/2020
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01648-4

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