Digital material laboratory: Wave propagation effects in open-cell aluminium foams

Saenger, Erik H.; Uribe, David; Jänicke, Ralf; Ruiz-Salguero, Oscar; Steeb, Holger

doi:10.1016/j.ijengsci.2012.03.030

Cited by 7 publications

(7 citation statements)

References 24 publications

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“…Comparing the experimental investigations with the high-frequency limit of Biot's equations, we are able to determine the tortuosity parameter of the used aluminium foam, cf. [1][2][3]. As we assume that the tortuosity is the only physical effect responsible for the time delay between the reference and signal, we obtain a tortuosity factor of α ∞ = 1.054 for the aluminium foam.…”

Section: Results and Conclusionmentioning

confidence: 92%

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Experimental evaluation of phase velocities and tortuosity in fluid saturated highly porous media

Gueven

Kurzeja

Luding

et al. 2012

Proc Appl Math and Mech

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In the current contribution, we present a novel method for the determination of the high frequency tortuosity parameter, α∞ in high porous media. Therefore, time-domain measurements of ultrasonic signals are performed with a transmission technique. Aluminium foams with different pore fluids will be under the scope of experimental investigation. Finally, the experimental results are compared with analytical wave propagation tests.

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Section: Results and Conclusionmentioning

confidence: 92%

“…For the experimental study, we have used 20 ppi AlSi7Mg-foams of different thickness and porositiy around 94 % by m.pore GmbH [3]. The specimens had an open cell structure enabling a full saturation of the foams with air or water.…”

Section: Methodsmentioning

confidence: 99%

Experimental evaluation of phase velocities and tortuosity in fluid saturated highly porous media

Gueven

Kurzeja

Luding

et al. 2012

Proc Appl Math and Mech

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show abstract

“…Multiple techniques have been used to obtain theoretical and computational models that may be used to study the properties of porous materials, such as: models of regular arrays of polyhedra (Kelvin cells [4,10,11,[13][14][15]17,23] and Weaire-Phelan cells [6]), random tessellation models [13,16,21], 3D image-based models [18][19][20]22], and 1D image-based models ( [8]). However, given the scope of this research, we will focus on reviewing (1) image-based models (1D, and 3D) and (2) models of regular arrays of Kelvin cells.…”

Section: Literature Reviewmentioning

confidence: 99%

“…1. Image-based models: These models take a set of images (commonly from a X-ray computed tomography (CT) [8,[18][19][20]22]) of an actual foam sample to obtain an accurate computational representation of the domain of study. The images are processed to retrieve a 3D representation of the foam and to generate its respective FE model [7].…”

Section: Literature Reviewmentioning

confidence: 99%

FE-simulations with a simplified model for open-cell porous materials: A Kelvin cell approach

Montoya-Zapata

Cortés

Ruiz-Salguero

2019

JCM

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In in-silico estimation of mechanical properties of open (Kelvin) cell porous materials, the geometrical model is intractable due to the large number of finite elements generated. Such a limitation impedes the study of reasonable domains. VoXel or Boundary representations of the porous domain result in FEA data sets which do not pass the stage of mesh generation, even for very modest domains. Our method to overcome such limitations partially replaces geometrical minutiae with kinematical constraints imposed on cylindrical bars (i.e. Truss model). Our implemented method uses node position equality constraints augmented with rotation constraints at the joints. Such a method significantly reduces the computational expense of the model, allowing the study of domains of 10 3 Kelvin cells. The results of the tests executed show the accuracy and efficiency of the Truss model in the estimation of Young's modulus and Poisson's ratio when compared with current procedures. The method allows application for materials which depart from Kelvin Cell uniformity, since the Truss model admits general configurations. As the simulation is made possible by the Truss model, new challenges appear, such as the application to anisotropic materials and the automatic generation of the Truss model from actual foam scans (e.g. tomographies).

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“…Furthermore, the accuracy of HPM for 5 modelling of surface waves is higher than the finite difference method with rotated staggered grids . These features could allow us to efficiently calculate not only strong ground motion induced by earthquakes (Takekawa et al, 2012) but also the scattering of seismic waves by fractures (Okamoto et al, 2013) and other applications in material science and engineering (Saenger et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation using a Hamiltonian particle method for effective elastic properties in cracked media

Takekawa

Mikada

Goto

2014

Exploration Geophysics

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We apply a Hamiltonian particle method, which is one of the particle methods, to simulate seismic wave propagation in a cracked medium. In a particle method, traction-free boundaries can readily be implemented and the spatial resolution can be chosen in an arbitrary manner. Utilisation of the method enables us to simulate seismic wave propagation in a cracked medium and to estimate effective elastic properties derived from the wave phenomena. These features of the particle method would bring some advantages of numerical efficiencies (e.g. calculation time, computational memory) and the reduction of time for pre-processing.We first describe our strategy for the introduction of free surfaces inside a rock mass, i.e., cracks, and to refine the spatial resolution in an efficient way. We then model a 2D cracked medium which contains randomly distributed, randomly oriented, rectilinear, dry and nonintersecting cracks, and simulate the seismic wave propagation of P-and SV-plane waves through the region. We change the crack density in the cracked region and determine the effective velocity in the region. Our results show good agreement with the modified selfconsistent theory, which is one of the effective-medium theories. Finally, we investigate the influence of the ratio of crack length to particle spacing on the calculated effective velocities.The effective velocity obtained becomes almost constant when the ratio of crack length to particle spacing is more than approximately 20. Based on this result, we propose to use more than 20 particles per crack length.

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Digital material laboratory: Wave propagation effects in open-cell aluminium foams

Cited by 7 publications

References 24 publications

Experimental evaluation of phase velocities and tortuosity in fluid saturated highly porous media

Experimental evaluation of phase velocities and tortuosity in fluid saturated highly porous media

FE-simulations with a simplified model for open-cell porous materials: A Kelvin cell approach

Numerical simulation using a Hamiltonian particle method for effective elastic properties in cracked media

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