Experiments on effective elastic moduli of solids containing cavities

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Experiments on effective elastic moduli of solids containing cavities


Author: Ng, Yam-cheung
Title: Experiments on effective elastic moduli of solids containing cavities
Degree: M.Sc.
Year: 1998
Subject: Elastic solids
Elastic analysis (Engineering)
Hong Kong Polytechnic University -- Dissertations
Department: Multi-disciplinary Studies
Dept. of Civil and Structural Engineering
Pages: ix, 137, [51] leaves : ill. (some col.) ; 30 cm
Language: English
InnoPac Record: http://library.polyu.edu.hk/record=b1437028
URI: http://theses.lib.polyu.edu.hk/handle/200/1028
Abstract: This dissertation reports my experimental results on the effective moduli of isotropic elastic solids containing either three-dimensional (3-D) spherical cavities or two-dimensional (2-D) holes, and compares our observations to the theoretical predictions of the effective moduli of porous solids by various models. The 2-D holes and 3-D spherical cavities are modelled by implanting plastic straws and soft spherical polystyrene foams (or normally referred as polyfoams) in the cubic moulds before casting of gypsum, which is used as the matrix material. The porosity of the porous solids varies from 0.0165 to 0.3729 (for 2-D circular holes) and from 0.0184 to 0.4957 (for 3-D spherical holes). The compressional and shear ultrasonic wave speeds are measured to calibrate the effective Young's and shear moduli. For prediction of the effective moduli of solids containing 3-D spherical holes, I recommend that the theoretical results by Ju and Chen (1994b), Hashin-Shtrickman bound, Willis and Acton (1976), Differential Scheme and the modified Mackenzie solution (Shin et al., 1993) agree well with experimental data for porosity up to 0.4957; while for solids containing 2-D circular holes, I recommend that the theoretical results by Mori-Tanaka Method and the Hashin (1965) bound agree well with experimental observations for porosity up to 0.3729.

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