A high-order mixture model for periodic particulate composites
type: Item
instance of: scholarly article
title: A high-order mixture model for periodic particulate composites
zbMATH Open document ID: 0618.73014
DOI: 10.1016/0020-7683(87)90092-8
author: B. George
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: A deterministic mixture theory is presented for periodic particulate composites. The model is constructed by introducing convenient microdisplacement and microstress variables, and by using a regular asymptotic technique with multiple scales. Governing equations and appropriate boundary conditions are then deduced from Reissner's mixed variational principle. In order to test the accuracy of the present model, harmonic wave propagation is examined and compared with available experimental data for glass/epoxy and steel/PMMA composites reported by \textit{V. K. Kinra} and \textit{E. L. Ker} [ibid. 19, 393-410 (1983)]. Also, the effective elastic moduli are computed, and the results compared with other analytical methods.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 4003599
zbMATH Keywords: two-scale asymptotic expansion
zbMATH Keywords: deterministic mixture theory
zbMATH Keywords: periodic particulate composites
zbMATH Keywords: microdisplacement
zbMATH Keywords: microstress variables
zbMATH Keywords: regular asymptotic technique
zbMATH Keywords: multiple scales
zbMATH Keywords: Reissner's mixed variational principle
zbMATH Keywords: harmonic wave propagation
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90092-8
OpenAlex ID: W2025546752
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description: scientific article; zbMATH DE number 4003599