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Publisher DOI: 10.1016/j.mechmat.2016.01.011
Title: Lurie solution for spherical particle and spring layer model of interphases : its application in analysis of effective properties of composites
Language: English
Authors: Nazarenko, Lidiia V. 
Bargmann, Swantje 
Stolarski, Henryk K. 
Keywords: spherical equivalent inhomogeneity;effective properties;random composites;spring layer model;interphase
Issue Date: 8-Feb-2016
Publisher: Elsevier
Source: Mechanics of Materials (96): 39-52 (2016)
Journal or Series Name: Mechanics of materials 
Abstract (english): A new approach to the determination of equivalent inhomogeneity for spherical particles and the spring layer model of their interphases with the matrix material is developed. To validate this approach the effective properties of random composites containing spherical inhomogeneities surrounded by an interphase material of constant thickness are evaluated. The properties of equivalent inhomogeneity, incorporating only properties of the original inhomogeneity and its interphase, are determined employing a new approach based on the exact Lurie's solution for spheres. This constitutes the central aspect of the proposed approach being in contrast with some existing definitions of equivalent inhomogeneity whose properties dependent also on the properties of the matrix. With the equivalent inhomogeneity specified as proposed here, the effective properties of the material with interphases can be found using any method applicable to analysis of the materials with perfect interfaces (i.e., without interphases) and any properties of the matrix. In this work, the method of conditional moments is employed to this end. The choice of that method is motivated by the method's solid formal foundations, its potential applicability to inhomogeneities other than spheres and to anisotropic materials. The resulting effective properties of materials with randomly distributed spherical particles are presented in the closed-form and are in excellent agreement with values reported in technical literature, which are based on both formally exact and approximate methods.
DOI: 10.15480/882.1704
ISSN: 1872-7743
Institute: Kontinuums- und Werkstoffmechanik M-15 
Type: (wissenschaftlicher) Artikel
Funded by: German Research Foundation (DFG) via Project NA1203/1-1
License: CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
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