scholarly journals Finite element approach to Bragg edge neutron strain tomography

2020 ◽  
Vol 60 ◽  
Author(s):  
Riya Aggarwal ◽  
Mike Meylan ◽  
Bishnu Lamichhane ◽  
Chris Wensrich
Keyword(s):  
Machine Learning ◽  
Finite Element Method ◽  
Finite Element ◽  
Gaussian Processes ◽  
Elastic Strain ◽  
Neutron Imaging ◽  
The Finite Element Method ◽  
Neutron Transmission ◽  
Ray Transform ◽  
Element Method

A 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 B. Abbey, S. Y. Zhang, W. J. J. Vorster, and A. M. Korsunsky. Feasibility study of neutron strain tomography. Proc. Eng., 1\penalty 0 (1):185–188, 2009. doi:10.1016/j.proeng.2009.06.043. 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. C. Jidling, J. Hendriks, N. Wahlstrom, A. Gregg, T. B. Schon, C. Wensrich, and A. Wills. Probabilistic modelling and reconstruction of strain. Nuc. Inst. Meth. Phys. Res. B, pages 141–155, 2018. doi:10.1016/j.nimb.2018.08.051. W. R. B. Lionheart and P. J. Withers. Diffraction tomography of strain. Inv. Prob., 31:045005, 2015. doi:10.1088/0266-5611/31/4/045005. C. E. Rasmussen and C. K. I. Williams. Gaussian processes for machine learning. MIT Press, 2006. URL https://mitpress.mit.edu/books/gaussian-processes-machine-learning. 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.

Real‐time biomechanics using the finite element method and machine learning: Review and perspective

2020 ◽  
Author(s):  
Renzo Phellan ◽  
Bahe Hachem ◽  
Julien Clin ◽  
Jean‐Marc Mac‐Thiong ◽  
Luc Duong
Keyword(s):  
Machine Learning ◽  
Finite Element Method ◽  
Finite Element ◽  
Real Time ◽  
The Finite Element Method ◽  
Element Method

scholarly journals Energy Resolved Neutron Imaging for Strain Reconstruction Using the Finite Element Method

2020 ◽  
Vol 6 (3) ◽  
pp. 13
Author(s):  
Riya Aggarwal ◽  
Michael H. Meylan ◽  
Bishnu P. Lamichhane ◽  
Chris M. Wensrich
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Least Square Method ◽  
Neutron Imaging ◽  
Least Square ◽  
The Finite Element Method ◽  
Cantilevered Beam ◽  
Element Approach ◽  
Tikhonov Regularisation ◽  
Element Method

A novel pulsed neutron imaging technique based on the finite element method is used to reconstruct the residual strain within a polycrystalline material from Bragg edge strain images. This technique offers the possibility of a nondestructive analysis of strain fields with a high spatial resolution. The finite element approach used to reconstruct the strain uses the least square method constrained by the conditions of equilibrium. This inclusion of equilibrium makes the problem well-posed. The procedure is developed and verified by validating for a cantilevered beam problem. It is subsequently demonstrated by reconstructing the strain from experimental data for a ring-and-plug sample, measured at the spallation neutron source RADEN at J-PARC in Japan. The reconstruction is validated by comparison with conventional constant wavelength strain measurements on the KOWARI diffractometer at ANSTO in Australia. It is also shown that the addition of a Tikhonov regularisation scheme further improves the reconstruction.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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