Virtual Materials Design: Properties of Cellular Solids Derived from 3D Tomographic Images

Knackstedt, Mark; Arns, Christoph H.; Saadatfar, Mohammad; Senden, Tim J.; Sakellariou, Arthur; Sheppard, Adrian; Sok, Robert; Schrofand, Wolfgang; Steininger, H.

doi:10.1002/adem.200400212

Cited by 22 publications

(13 citation statements)

References 23 publications

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“…This was achieved for cellular solids in Refs. 404 229 27 Combined use of diffraction contrast tomography (DCT) and computer tomography (CT) data to identify the nature of crack bridging grain boundary relationships during stress corrosion cracking of stainless steel. a Cracks obtained from CT data are shown in black, at the final step before sample failure, and compared with DCT data of 3D grain shapes.…”

Section: Image Based Modelling Of Cellular/porous Materialsmentioning

confidence: 99%

Quantitative X-ray tomography

Maire¹,

Withers²

2013

International Materials Reviews

1,086

601

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X-ray computer tomography (CT) is fast becoming an accepted tool within the materials science community for the acquisition of 3D images. Here the authors review the current state of the art as CT transforms from a qualitative diagnostic tool to a quantitative one. Our review considers first the image acquisition process, including the use of iterative reconstruction strategies suited to specific segmentation tasks and emerging methods that provide more insight (e.g. fast and high resolution imaging, crystallite (grain) imaging) than conventional attenuation based tomography. Methods and shortcomings of CT are examined for the quantification of 3D volumetric data to extract key topological parameters such as phase fractions, phase contiguity, and damage levels as well as density variations. As a non-destructive technique, CT is an ideal means of following structural development over time via time lapse sequences of 3D images (sometimes called 3D movies or 4D imaging). This includes information needed to optimise manufacturing processes, for example sintering or solidification, or to highlight the proclivity of specific degradation processes under service conditions, such as intergranular corrosion or fatigue crack growth. Besides the repeated application of static 3D image quantification to track such changes, digital volume correlation (DVC) and particle tracking (PT) methods are enabling the mapping of deformation in 3D over time. Finally the use of CT images is considered as the starting point for numerical modelling based on realistic microstructures, for example to predict flow through porous materials, the crystalline deformation of polycrystalline aggregates or the mechanical properties of composite materials.

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Section: Image Based Modelling Of Cellular/porous Materialsmentioning

confidence: 99%

Quantitative X-ray tomography

Maire¹,

Withers²

2013

International Materials Reviews

1,086

601

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“…Those studies demonstrate the relevance of microtomography to identify a foam structure without loading [13][14][15] or during a compression test [16]. In our case, there are two extra difficulties.…”

Section: Methodsmentioning

confidence: 53%

“…were quantified after specific 3D image treatments. The reconstructed 3D images can be also used to compute effective physical properties of the foam like permeability diffusivity and macroscopic mechanical properties [15]. Taking advantage of the fact that this technique is non-destructive, the change of the microstructure of a given sample can be followed in 3D during a mechanical test.…”

Section: Methodsmentioning

confidence: 99%

Microtomography on polypropylene foam under dynamic loading: 3D analysis of bead morphology evolution

Viot¹,

Plougonven²,

Bernard³

2008

Composites Part A: Applied Science and Manufacturing

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractA dynamic crash loading experiment is performed on polypropylene foam which is used in composite sandwich structures for safety applications. Several interrupted shocks are conducted, in between which, microtomographic acquisitions are made showing the change of the sample during its compression. These data can help construct and validate predictive models, although, because this material is multi-scale (constitutive beads at the mesoscopic scale are made of microscopic closed cells), image processing is required to extract useful quantitative measurements. Such processing is described here, so as to determine a representative volume for each bead of the sample, to associate values such as bead density to each bead and to each stage of the compression. This can help build a predictive model at the mesoscopic scale.

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“…Information on the macroscopic properties of a given foam can be gained from experiments (e.g., mechanical testing, Benouali et al (2005) or ) or simulation of these properties in images of its microstructure (Knackstedt et al, 2005). However, these techniques only mirror the behavior of a given foam sample.…”

Section: Modeling a Foam Structurementioning

confidence: 99%

“…From both experiments and the use of model structures it is well known that the volume fraction and cell anisotropy of the foam play an important role (Gibson and Ashby (1988), Benouali et al (2005), Knackstedt et al (2005) or Roberts and Garboczi (2001)). Results of Brezny and Green (1990), Zhu et al (2000), and Kanaun and Tkachenko (2006) further indicate that cell size and irregularity (measured e.g., by the variation of shape or size) are of importance as well.…”

Section: Modeling a Foam Structurementioning

confidence: 99%

Random Laguerre tessellations

Lautensack

Zuyev

2008

Advances in Applied Probability

121

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A systematic study of random Laguerre tessellations, weighted generalisations of the well-known Voronoi tessellations, is presented. We prove that every normal tessellation with convex cells in dimension three and higher is a Laguerre tessellation. Tessellations generated by stationary marked Poisson processes are then studied in detail. For these tessellations, we obtain integral formulae for geometric characteristics and densities of the typical k-faces. We present a formula for the linear contact distribution function and prove various limit results for convergence of Laguerre to Poisson-Voronoi tessellations. The obtained integral formulae are subsequently evaluated numerically for the planar case, demonstrating their applicability for practical purposes.

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Virtual Materials Design: Properties of Cellular Solids Derived from 3D Tomographic Images

Cited by 22 publications

References 23 publications

Quantitative X-ray tomography

Quantitative X-ray tomography

Microtomography on polypropylene foam under dynamic loading: 3D analysis of bead morphology evolution

Random Laguerre tessellations

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