scholarly journals Magnetostatic reciprocity for MR magnet design

2021 ◽  
Vol 2 (2) ◽  
pp. 607-617
Author(s):  
Pedro Freire Silva ◽  
Mazin Jouda ◽  
Jan G. Korvink
Keyword(s):  
Magnetic Field ◽  
Finite Element Modelling ◽  
Figure Of Merit ◽  
Small Volume ◽  
Magnetic Field Intensity ◽  
Saturation Field ◽  
Magnet Design ◽  
Fem Simulations ◽  
Element Modelling ◽  
Linear Finite Element

Abstract. Electromagnetic reciprocity has long been a staple in magnetic resonance (MR) radio-frequency development, offering geometrical insights and a figure of merit for various resonator designs. In a similar manner, we use magnetostatic reciprocity to compute manufacturable solutions of complex magnet geometries, by establishing a quantitative metric for the placement and subsequent orientation of discrete pieces of permanent magnetic material. Based on magnetostatic theory and non-linear finite element modelling (FEM) simulations, it is shown how assembled permanent magnet setups perform in the embodiment of a variety of designs and how magnetostatic reciprocity is leveraged in the presence of difficulties associated with self-interactions, to fulfil various design objectives, including self-assembled micro-magnets, adjustable magnetic arrays, and an unbounded magnetic field intensity in a small volume, despite realistic saturation field strengths.

scholarly journals Magnetostatic reciprocity for MR magnet design

2021 ◽  
Author(s):  
Pedro Freire Silva ◽  
Mazin Jouda ◽  
Jan G. Korvink
Keyword(s):  
Magnetic Field ◽  
Magnetic Material ◽  
Permanent Magnet ◽  
Figure Of Merit ◽  
Small Volume ◽  
Magnetic Field Intensity ◽  
Nonlinear Fem ◽  
Saturation Field ◽  
Magnet Design ◽  
Fem Simulations

Abstract. Electromagnetic reciprocity has long been a staple in MR radio-frequency development, offering geometrical insights and a figure of merit for various resonator designs. In a similar manner, we use magnetostatic reciprocity to compute manufacturable solutions of complex magnet geometries, by establishing a quantitative metric for the placement and subsequent orientation of discrete pieces of permanent magnetic material. Based on magnetostatic theory and nonlinear FEM simulations, it is shown how assembled permanent magnet setups perform in the embodiment of a variety of designs, and how magnetostatic reciprocity is leveraged in the presence of difficulties associated with self-interactions, to fulfil various design objectives, including self-assembled micro magnets, adjustable magnetic arrays, and an unbounded magnetic field intensity in a small volume, despite realistic saturation field strengths.

scholarly journals Analysing stress field conditions of the Colima Volcanic Complex (Mexico) by integrating finite-element modelling (FEM) simulations and geological data

Solid Earth ◽  
2020 ◽  
Vol 11 (6) ◽  
pp. 2515-2533
Author(s):  
Silvia Massaro ◽  
Roberto Sulpizio ◽  
Gianluca Norini ◽  
Gianluca Groppelli ◽  
Antonio Costa ◽  
...  
Keyword(s):  
Finite Element ◽  
Stress Field ◽  
Finite Element Modelling ◽  
Field Conditions ◽  
Volcanic Complex ◽  
Geological Data ◽  
Heterogeneous Distribution ◽  
Volcanic System ◽  
Fem Simulations ◽  
Element Modelling

Abstract. In recent decades, finite-element modelling (FEM) has become a very popular tool in volcanological studies and has even been used to describe complex system geometries by accounting for multiple reservoirs, topography, and heterogeneous distribution of host rock mechanical properties. In spite of this, the influence of geological information on numerical simulations is still poorly considered. In this work, 2D FEM of the Colima Volcanic Complex (Mexico) is provided by using the Linear Static Analysis (LISA) software in order to investigate the stress field conditions with increasingly detailed geological data. By integrating the published geophysical, volcanological, and petrological data, we modelled the stress field considering either one or two magma chambers connected to the surface via dykes or isolated (not connected) in the elastic host rocks (considered homogeneous and non-homogeneous). We also introduced tectonic disturbance, considering the effects of direct faults bordering the Colima Rift and imposing an extensional far-field stress of 5 MPa. We ran the model using the gravity in calculations. Our results suggest that an appropriate set of geological data is of pivotal importance for obtaining reliable numerical outputs, which can be considered a proxy for natural systems. Beside and beyond the importance of geological data in FEM simulations, the model runs using the complex feeding system geometry and tectonics show how the present-day Colima volcanic system can be considered in equilibrium from a stress state point of view, in agreement with the long-lasting open conduit dynamics that have lasted since 1913.

Finite element modelling of the manufacturing process for aluminium aerosol cans

2007 ◽  
Vol 221 (4) ◽  
pp. 265-274 ◽  
Author(s):  
S J Hardy ◽  
R Abdusslam
Keyword(s):  
Finite Element ◽  
Finite Element Modelling ◽  
Extrusion Process ◽  
Physical Problem ◽  
Element Analysis ◽  
Element Modelling ◽  
Linear Finite Element ◽  
Aerosol Cans ◽  
Potential Failure ◽  
Modelling Process

The current paper provides an illustration of the application of non-linear finite element analysis to the modelling of the extrusion and forming processes, using the manufacture of a one-piece aluminium aerosol can by the back extrusion process as an example. It also demonstrates how this numerical method can be used to predict the axial buckling of such cans, which is a potential failure mode during manufacture. The various stages of the modelling process are described and finite element predictions are presented. Where possible, these predictions are compared with experimental results. The paper also highlights some of the modelling issues associated with analyses of this type and provides recommendations as to how the correlation between the model and the actual physical problem can be improved.

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