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Finite element approach to Bragg edge neutron strain tomography
Get PDFA number of techniques and applications in neutron imaging that exploit wavelength resolved measurements have been developed recently. One such technique, known as energy resolved neutron imaging, receives ample attention because of its capability to not only visualise but to also quantify physical attributes with spatial resolution. The objective of this article is to develop a reconstruction algorithm for elastic strain tomography from Bragg edge neutron transmission strain images obtained from a pulsed neutron beam with high resolution. This technique has several advantages over those using monochromatic neutron beams from continuous sources; for example, finer wavelength resolution. In contrast to the conventional radon based computed tomography, wherein neutron transmission revolves around the inversion of the longitudinal ray transform that has uniqueness issues, the reconstruction in the proposed algorithm is based on the least squares approach, constrained by an equilibrium formulated through the finite element method.
References
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R. Aggarwal, M. H. Meylan, B. P. Lamichhane, and C. M. Wensrich. Energy resolved neutron imaging for strain reconstruction using the finite element method. J. Imag., 6(3):13, 2020. doi:10.3390/jimaging6030013.
J. N. Hendriks, A. W. T. Gregg, C. M. Wensrich, A. S. Tremsin, T. Shinohara, M. Meylan, E. H. Kisi, V. Luzin, and O. Kirsten. Bragg-edge elastic strain tomography for in situ systems from energy-resolved neutron transmission imaging. Phys. Rev. Mat., 1:053802, 2017. doi:10.1103/PhysRevMaterials.1.053802.
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C. M. Wensrich, E. Kisi, V. Luzin, and O. Kirstein. Non-contact measurement of the stress within granular materials via neutron diffraction. AIP Conf. Proc., 1542:441–444, 2013. doi:10.1063/1.4811962.
R. Woracek, J. Santisteban, A. Fedrigo, and M. Strobl. Diffraction in neutron imaging–-a review. Nuc. Inst. Meth. Phys. Res. A, 878:141–158, 2018. doi:10.1016/j.nima.2017.07.040
The effects of oscillating boundary conditions on thermal ignition
Get PDFWe investigate the effect that oscillating ambient temperatures have on the ignition times of supercritical stockpiles. Large stockpiles are exposed to seasonal and diurnal temperature variation. We analyse the effects of seasonal temperature variation. When considering ignition within a year of construction, stockpiles built in spring ignited with a lower critical parameter than those built at other times. Consequently, seasonal temperature variation needs to be accounted for when predicting stockpile ignition times.
References
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R. J. Longbottom, B. J. Monaghan, G. Zhang, D. J. Pinson, and S. J. Chew. Self-sintering of BOS filter cake for improved recyclability. ISIJ Int., 59(3):432–441, 2019. doi:10.2355/isijinternational.ISIJINT-2018-627.
V. Novozhilov. Thermal explosion in oscillating ambient conditions. Sci. Rep., 6:29730, 07 2016. doi:10.1038/srep29730.
N. C. Roy. Convection characteristics in a closed vessel in the presence of exothermic combustion and ambient temperature oscillations. Int. J. Heat Mass Trans., 116:655–666, 2018. doi:10.1016/j.ijheatmasstransfer.2017.09.058
Infinite families of congruences for overpartitions with restricted odd differences
No full texthttp://dx.doi.org/10.1017/S000497271900125
Inequalities for Dragomir's mappings via Stieltjes integral
No full texthttp://dx.doi.org/10.1017/S000497271900162
Degree-one Mahler functions: asymptotics, applications and speculations
No full texthttp://dx.doi.org/10.1017/S000497272000004
Compact weighted composition operators between -spaces
No full texthttp://dx.doi.org/10.1017/S000497271900159
Stable solutions to the static Choquard equation
No full texthttp://dx.doi.org/10.1017/S000497272000051