| People | Locations | Statistics |
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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Cloetens, Peter
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (24/24 displayed)
- 2024Hard X-ray nanoscale Imaging of Carbon Fibre Composites using Near-Field Ptychography
- 2024Hard X-ray nanoscale Imaging of Carbon Fibre Composites using Near-Field Ptychography
- 2023Quantifying electrochemical degradation in single-crystalline LiNi0.8Mn0.1Co0.1O2–graphite pouch cells through operando X-ray and post-mortem investigations
- 2023Numerical microstructural optimization for the hydrogen electrode of solid oxide cellscitations
- 2022A stochastic geometrical 3D model for time evolution simulation of microstructures in SOC-electrodescitations
- 2020Ultrafine eutectic Ti-Fe-based alloys processed by additive manufacturing – A new candidate for high temperature applicationscitations
- 2020Ultrafine eutectic Ti-Fe-based alloys processed by additive manufacturing – A new candidate for high temperature applicationscitations
- 2019Nanovoid morphology and distribution in deformed High Density PolyEthylene observed at the nanometric scale
- 2017Inducing Stable $alpha$ + $beta$ Microstructures during Selective Laser Melting of Ti-6Al-4V Using Intensified Intrinsic Heat Treatmentscitations
- 2017Using metastability to engineer the microstructure of Ti-6V-4Al produced by selective laser melting
- 2017Inducing Stable alpha plus beta Microstructures during Selective Laser Melting of Ti-6Al-4V Using Intensified Intrinsic Heat Treatmentscitations
- 2015Three-dimensional characterization of fatigue-relevant intermetallic particles in high-strength aluminium alloys using synchrotron X-ray nanotomographycitations
- 2014Quantitative microstructure characterization of a Ni-YSZ bi-layer coupled with simulated electrode polarizationcitations
- 2014Anisotropic elasticity of silicon and its application to the modelling of X-ray opticscitations
- 2012Non-destructive 3-D reconstruction of the martensitic phase in a dual-phase steel using synchrotron holotomographycitations
- 2011The effect of the connectivity of rigid phases on strength of Al-Si alloyscitations
- 2009Polycaprolactone nanomesh cultured with hMSC evaluated by synchrotron tomography
- 2009New opportunities for 3D materials science of polycrystalline materials at the micrometre lengthscale by combined use of X-ray diffraction and X-ray imagingcitations
- 2009Projection phase contrast microscopy with a hard x-ray nanofocused beam: Defocus and contrast transfercitations
- 20093D architecture and load partition in eutectic Al-Si alloyscitations
- 2008In Situ X-Ray tomography studies of microstructural evolution combined with 3D modellingcitations
- 2006Advances in synchrotron radiation microtomographycitations
- 2005Permeability assessment by 3D interdendritic flow simulations on microtomography mappings of Al–Cu alloyscitations
- 2005Three dimensional imaging of damage in structural materials using high resolution micro-tomographycitations
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article
Anisotropic elasticity of silicon and its application to the modelling of X-ray optics
Abstract
The crystal lattice of single-crystal silicon gives rise to anisotropic elasticity. The stiffness and compliance coefficient matrix depend on crystal orientation and, consequently, Young's modulus, the shear modulus and Poisson's ratio as well. Computer codes (in Matlab and Python) have been developed to calculate these anisotropic elasticity parameters for a silicon crystal in any orientation. These codes facilitate the evaluation of these anisotropy effects in silicon for applications such as microelectronics, microelectromechanical systems and X-ray optics. For mechanically bent X-ray optics, it is shown that the silicon crystal orientation is an important factor which may significantly influence the optics design and manufacturing phase. Choosing the appropriate crystal orientation can both lead to improved performance whilst lowering mechanical bending stresses. The thermal deformation of the crystal depends on Poisson's ratio. For an isotropic constant Poisson's ratio, nu, the thermal deformation (RMS slope) is proportional to (1 + nu). For a cubic anisotropic material, the thermal deformation of the X-ray optics can be approximately simulated by using the average of nu(12) and nu(13) as an effective isotropic Poisson's ratio, where the direction 1 is normal to the optic surface, and the directions 2 and 3 are two normal orthogonal directions parallel to the optical surface. This average is independent of the direction in the optical surface (the crystal plane) for Si(100), Si(110) and Si(111). Using the effective isotropic Poisson's ratio for these orientations leads to an error in thermal deformation smaller than 5.5%