Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/10415
Title: Young's modulus interpreted from plane compressions of geomaterials between rough end blocks
Authors: Chau, KT 
Issue Date: 1999
Publisher: Pergamon Press
Source: International journal of solids and structures, 1999, v. 36, no. 31-32, p. 4963-4974 How to cite?
Journal: International journal of solids and structures 
Abstract: This note derives an approximate expression of the true Young's modulus of a rectangular solid under plane compression between two rough end blocks, provided that the Poisson's ratio ν of the solid is known. The friction between the loading platens and the ends of the specimen is assumed to be large enough to restrain slippage at the contact. By using the function space concept of Prager and Synge (1947), a correction factor λ with calculable error is obtained which can be multiplied to the apparent Young's modulus (i.e., the one obtained by assuming uniform stress field) to yield the true Young's modulus; it is evaluated numerically for 0 ≤ ν ≤ 0.49 and 0 ≤ η ≤ 3 (where η = b/h with b and h being the half width and half length of the specimen). In general, λ increases with ν and η for both plane strain and plane stress compressions. Within this range of ν and η, λ may vary from 0.37-1.0 for the plane strain case and from 0.84-1.0 for the plane stress case. Thus, the assumption of uniform stress field may lead to erroneous interpretation of the Young's modulus. When the special case of ν = 1/3 and η = 1 is considered, we obtain λ = 0.9356, which compares well with 0.9359 obtained by Greenberg and Truell (1948).This note derives an approximate expression of the true Young's modulus of a rectangular solid under plane compression between two rough end blocks, provided that the Poisson's ratio ν of the solid is known. The friction between the loading platens and the ends of the specimen is assumed to be large enough to restrain slippage at the contact. By using the function space concept of Prager and Synge (1947), a correction factor λ with calculable error is obtained which can be multiplied to the apparent Young's modulus (i.e., the one obtained by assuming uniform stress field) to yield the true Young's modulus; it is evaluated numerically for 0 ≤ ν ≤ 0.49 and 0 ≤ η ≤ 3 (where η = b/h with b and h being the half width and half length of the specimen). In general, λ increases with ν and η for both plane strain and plane stress compressions. Within this range of ν and η, λ may vary from 0.37-1.0 for the plane strain case and from 0.84-1.0 for the plane stress case. Thus, the assumption of uniform stress field may lead to erroneous interpretation of the Young's modulus. When the special case of ν = 1/3 and η = 1 is considered, we obtain λ = 0.9356, which compares well with 0.9359 obtained by Greenberg and Truell (1948).
URI: http://hdl.handle.net/10397/10415
ISSN: 0020-7683
EISSN: 1879-2146
DOI: 10.1016/S0020-7683(98)00274-1
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

3
Last Week
0
Last month
0
Citations as of Sep 11, 2017

WEB OF SCIENCETM
Citations

2
Last Week
0
Last month
0
Citations as of Sep 21, 2017

Page view(s)

34
Last Week
1
Last month
Checked on Sep 17, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.