2008
DOI: 10.1016/j.jmps.2008.06.007
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Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models

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Cited by 125 publications
(53 citation statements)
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“…Thus, uniaxial compression tests are first conducted on cubic sample with the dimension of 40mm in three mutually perpendicular principal directions (shown in Figure 2) in order to characterize directional properties of this foam, which should be taken into consideration before investigating mechanical behavior. On the other hands, it is well-known that mechanical behavior of metallic foam is strongly sensitive to the ratio of the sample size to the cell size at length scales where the two are of the same order of magnitude (Bastawros et al, 2000;Onck et al, 2001;Andrews et al, 2001;Jeon and Asahina, 2005;Joseph et al, 2005;Rakow and Waas,2005;Tekoğlu and Onck, 2008;Caner and Bazant, 2009;Jeon et al, 2009;Tekoğlu et al, 2011;Su et al, 2014). Most researchers have adopted big size samples in the mechanical tests to avoid the size effect of cellular materials (McCullough et al, 1999;Ruan et al, 2002;Saha et al, 2005;Amsterdam et al, 2008;Lu et al, 2008;Shen et al, 2010;Mangipudi and Onck, 2011;Luong et al, 2013;Jin et al, 2015).…”
Section: Sample Sizesmentioning
confidence: 99%
“…Thus, uniaxial compression tests are first conducted on cubic sample with the dimension of 40mm in three mutually perpendicular principal directions (shown in Figure 2) in order to characterize directional properties of this foam, which should be taken into consideration before investigating mechanical behavior. On the other hands, it is well-known that mechanical behavior of metallic foam is strongly sensitive to the ratio of the sample size to the cell size at length scales where the two are of the same order of magnitude (Bastawros et al, 2000;Onck et al, 2001;Andrews et al, 2001;Jeon and Asahina, 2005;Joseph et al, 2005;Rakow and Waas,2005;Tekoğlu and Onck, 2008;Caner and Bazant, 2009;Jeon et al, 2009;Tekoğlu et al, 2011;Su et al, 2014). Most researchers have adopted big size samples in the mechanical tests to avoid the size effect of cellular materials (McCullough et al, 1999;Ruan et al, 2002;Saha et al, 2005;Amsterdam et al, 2008;Lu et al, 2008;Shen et al, 2010;Mangipudi and Onck, 2011;Luong et al, 2013;Jin et al, 2015).…”
Section: Sample Sizesmentioning
confidence: 99%
“…This is interesting because of their physical meaning. For straingradient elasticity, V ∇sph is the gradient of the infinitesimal volume variation δV, meanwhile V ∇dev is the strain divergence [27]. For the stress-gradient elasticity 1 3 V ∇sph represents the gradient of the isostatic pressure p, and V ∇dev is proportional to the volumic forces f. Those vectors have, both for strain and stress gradient elasticity, a clear physical meaning.…”
Section: Synthesismentioning
confidence: 99%
“…In the latter study, the intrinsic material length was naturally identified with the cell size. Furthermore, regarding cellular solids, Tekoglu and Onck (2008) compared the analytical results of various gradient type generalized continuum theories with the computational results of discrete models through a range of basic boundary value problems based on Voronoi representations of cellular microstructures. The analysis that was performed, strictly within the elastic regime, assessed the capabilities of generalized continuum theories in capturing size effects in cellular solids and connected the cell size with the microstructural length-scale.…”
Section: Introductionmentioning
confidence: 99%