Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry

Kanit, Toufik; N’Guyen, Franck; Forest, Samuel; Jeulin, Dominique; Reed, Matthew J; Singleton, Scott

doi:10.1016/j.cma.2005.07.022

Cited by 170 publications

(107 citation statements)

References 34 publications

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“…In the food industry, the linear elasticity and thermal conductivity of two-phase materials ͑polycrystalline ice, cream͒ have been simulated from x-ray computed tomography ͑CT͒ images. 31 The dynamics of fracture and the influence of structure on the path of crack propagation have been investigated using imported microstructures of an Al+ SiC composite 32 and TiB 2 +Al 2 O 3 in the high strain-rate regime. 33 Real microstructures are also being used to help solve problems in the area of human biology.…”

Section: Modeling Backgroundmentioning

confidence: 99%

Discrete particle simulation of shock wave propagation in a binary Ni+Al powder mixture

Eakins

Thadhani

2007

Journal of Applied Physics

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Numerical simulations of shock wave propagation through discretely represented powder mixtures were performed to investigate the characteristics of deformation and mixing in the Ni+ Al system. The initial particle arrangements and morphologies were imported from experimentally obtained micrographs of powder mixtures pressed at densities in the range of 45%-80% of the theoretical maximum density ͑TMD͒. Simulations were performed using these imported micrographs for each density compact subjected to driver velocities ͑U p ͒ of 0.5, 0.75, and 1 km/ s, and the resulting shock velocity ͑U s ͒ was used to construct the U s -U p equation of state. The simulated equation of state for the 60% TMD mixture was validated by matching results obtained from previous gas-gun experiments. The details of shock wave propagation through the Ni+ Al powder mixtures were explored on several scales. It is shown that the shock compression of mixtures of powders of dissimilar densities and strength is associated with heterogeneous deformation processes leading to focused flow, particulation, and vortex formation, resulting in local fluctuations in pressure and temperature, which collectively are responsible for highly irregular "shock" fronts and unstable high-pressure states in granular media.

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Section: Modeling Backgroundmentioning

confidence: 99%

Discrete particle simulation of shock wave propagation in a binary Ni+Al powder mixture

Eakins

Thadhani

2007

Journal of Applied Physics

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“…A spatial averaging over all stress contributions for each load case reveals the macroscopic homogenized stress components = ‹ +. (Kanit et al 2006). …”

Section: Evaluation Of a Homogenized Young's Modulusmentioning

confidence: 99%

Probabilistic model of bone structure based on CT scan data and validation of simulation results using the Finite Cell Method

Luque¹,

Papaioannou²,

Straub³

et al. 2014

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures

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“…The homogenization procedure is based on kinematic uniform boundary conditions (KUBC), but could also be based on stress uniform boundary conditions (SUBC) or periodic boundary conditions (PBC) [58,59,60]:…”

Section: Numerical Homogenizationmentioning

confidence: 99%

High order X-FEM and levelsets for complex microstructures: Uncoupling geometry and approximation

Legrain

Chevaugeon

Dréau

2012

Computer Methods in Applied Mechanics and Engineering

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Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry

Cited by 170 publications

References 34 publications

Discrete particle simulation of shock wave propagation in a binary Ni+Al powder mixture

Discrete particle simulation of shock wave propagation in a binary Ni+Al powder mixture

Probabilistic model of bone structure based on CT scan data and validation of simulation results using the Finite Cell Method

High order X-FEM and levelsets for complex microstructures: Uncoupling geometry and approximation

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