Size effects in foams: Experiments and modeling

Tekoğlu, Cihan; Gibson, Lorna; Pardoen, Thomas; Onck, Patrick

doi:10.1016/j.pmatsci.2010.06.001

Cited by 192 publications

(111 citation statements)

References 47 publications

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“…Several methods for calculating strain have been proposed in the literature but they are either limited for regular honeycombs (Zou et al, 2009) or based on small strain definition (Tekoglu et al, 2011). Zheng et al (2012) suggested that strain should be defined as statistical average measured over a range of at least one cell size because of the cellular nature of the materials.…”

Section: Local Strain Mappingmentioning

confidence: 99%

Dynamic crushing of uniform and density graded cellular structures based on the circle arc model

Zhang

Wei

Wang

et al. 2015

Lat. Am. j. solids struct.

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A new circle-arc model was established to present the cellular structure. Dynamic response of models with density gradients under constant velocities is investigated by employing Ls-dyna 971. Compared with the uniform models, the quasi-static plateau stress of different layers seems a significant parameter correlated with the deformation mode except for inertia effect when the density gradient is introduced. The impact velocity becomes much more vital on the deformation of the unit cell than the density gradient. The stress at both the impact and stationary sides is investigated in details. Furthermore, the stress-strain curve is compared with the modified shock wave theory. The density gradient does have some remarkable influence on the energy absorption capability, and a certain density gradient is not always beneficial to the energy absorption. Irrespective of the impact velocity, there seems always a critical strain where the energy absorbed by all these specimens could approximate to nearly the same value. So the critical strain-velocity curve is plotted and gives the beneficial area for energy absorption pertinent to density gradients and impact velocity.

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Section: Local Strain Mappingmentioning

confidence: 99%

Dynamic crushing of uniform and density graded cellular structures based on the circle arc model

Zhang

Wei

Wang

et al. 2015

Lat. Am. j. solids struct.

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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%

“…The uniaxial compression tests were conducted by controlling the constant vertical displacement rate of 0.02mm/s, corresponding to a nominal strain rate of 5.0 × 10 -4 s -1 . In the previous works, the ratio of samples size to cell size L/d was introduced to analyse the size effect in the mechanical behavior of metallic foam Tekoğlu et al, 2011;). For the sake of illustration convenience, the ratio of the sample length to cell size of L/d is also used in subsequent analysis.…”

Section: Sample Sizesmentioning

confidence: 99%

Impact Response of Aluminium Alloy Foams Under Complex Stress States

Zhou

Wang

et al. 2016

Lat. Am. j. solids struct.

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A series of dynamic tests were conducted on a closed-cell aluminum alloy foams in order to determine experimental failure surface under impact loading conditions. Quasi-static tests have also been performed to investigate failure mechanism under different stress paths. Three typical types of deformation modes can be observed, which corresponds to the different failure mechanism. The failure loci of the foam in principal stress plane are explored from quasistatic to dynamic loading conditions. A significant strength enhancement is identified experimentally. The expansion of the failure locus from the quasi-static to the dynamic test is almost isotropic. A modified failure criterion for the metallic foam is proposed to predict failure locus as a function of strain rate. This rate-dependence failure criterion is capable of giving a good description of the biaxial failure stresses over a wide range of the strain rates.

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“…In recent years, since 3-dimensional printing technology has emerged, an additive production method to build metallic structure by liquid metal has been proposed. It will be possible in the near future to make a foam structure by 3-D printer if one has the design of the foam [5,6].…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic Measurement of Elastic Modulus of Kelvin Foam

Kim

2016

MATEC Web of Conferences

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Abstract. Elastic modulus of 3D-printed Kelvin foam plate is investigated by measuring the acoustic wave velocity of 1 MHz ultrasound. An isotropic tetrakaidecahedron foam of 3 mm unit cell is designed and printed layer upon layer to fablicate a Kelvin foam plate of 14mm thickness by 3D CAD/printer using ABS plastic. The Kelvin foam plate is filled completely with paraffin wax for impedance matching, so that acoustic wave may propagate through the porous foam plate. The acoustic wave velocity of the foam plate is measured using the time-of-flight (TOF) method to calculate the elastic modulus of the Kelvin foam plate based on acousto-elasticity.

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Size effects in foams: Experiments and modeling

Cited by 192 publications

References 47 publications

Dynamic crushing of uniform and density graded cellular structures based on the circle arc model

Dynamic crushing of uniform and density graded cellular structures based on the circle arc model

Impact Response of Aluminium Alloy Foams Under Complex Stress States

Ultrasonic Measurement of Elastic Modulus of Kelvin Foam

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