Assisted by Advanced Finite-Element Simulations

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Presented at the COMSOL Conference 2009 Milan COMSOL 2009, Milan, October 2009 Magnetic Fields in Hochfeld- Magnetlabor Dresden Science and Medicine Assisted by Advanced Finite-Element Simulations Hochfeld-Magnetlabor Dresden (HLD) www.fzd.de/hld A.Sytcheva

1) Highest magnetic fields for advanced materials studies

1) Highest magnetic fields for advanced materials studies 2) Design, fabrication, and use of pulsed- field coils for materials research

1) Highest magnetic fields for advanced materials studies 2) Design, fabrication, and use of pulsed- field coils for materials research 3) Magnets for ion-beam bending, guiding, focusing at ELBE

1) Highest magnetic fields for advanced materials studies 2) Design, fabrication, and use of pulsed- field coils for materials research 3) Magnets for ion-beam bending, guiding, focusing at ELBE 4) Magnetic targeting, diffusion and fixation for bone healing

1) Highest magnetic fields for advanced materials studies B [Tesla] 100 90 Resistive Pulsed Magnets 80 70 60 50 [msec... sec] quasi static 5 GW 1 GW 40 static: Hybrid Magnets 20 MW 30 Resistive Bitter Magnets 20 10 0 Superconducting Magnets

1) Highest magnetic fields for advanced materials studies B [Tesla] 100 HLD is one of the three user facilities (Los Alamos, Dresden, Tokyo) which reach out for 100 T for research on advanced materials 90 Resistive Pulsed Magnets 80 70 60 50 [msec... sec] quasi static 5 GW 1 GW 40 static: Hybrid Magnets 20 MW 30 Resistive Bitter Magnets 20 10 0 Superconducting Magnets

1) Highest magnetic fields for advanced materials studies B [Tesla] 100 HLD is one of the three user facilities (Los Alamos, Dresden, Tokyo) which reach out for 100 T for research on advanced materials 90 Resistive Pulsed Magnets 80 70 60 50 [msec... sec] quasi static 5 GW 1 GW 40 static: Hybrid Magnets 20 MW 30 Resistive Bitter Magnets 20 10 0 Superconducting Magnets

1) Highest magnetic fields for advanced materials studies 100 T double coil magnet (43 MJ / 3 MJ) 100 80 60 B(T T) 40 20 ~ 1000 kg 0-20 0 100 200 300 400 500 t(ms) 0.5 m Inner: 20 mm bore, 10 layers CuNb 4x6 mm 2 Outer: 10 layers Cu 8x14 mm 2

1) Highest magnetic fields for advanced materials studies 100 T double coil magnet (43 MJ / 3 MJ) Voltage: 10... 30 kv (short pulse!) ~ 1000 kg Heat up: 77 K 350 K in msec Stress: P = B 2 /2µ 0 ~ 4 GPa at 100 T 0.5 m Realistic Multi-Physics FEM Simulation is needed!

2) Design, fabrication, and use of pulsed-field coils for materials research FEA example 1 (azimuthal symmetry): 30 turns, 12 layers, 3 mh, t Pulse = 100 msec; B ~ 70 T

2) Design, fabrication, and use of pulsed-field coils for materials research FEA example 1 (azimuthal symmetry): Challenging conditions in pulsed high-field (70 T) coils extremely high Lorentz forces and resulting mechanical load extreme heat load extreme electrical environment 30 turns, 12 layers, 3 mh, t Pulse = 100 msec

2) Design, fabrication, and use of pulsed-field coils for materials research FEA example 1 (azimuthal symmetry): Challenging conditions in pulsed high-field (70 T) coils extremely high Lorentz forces and resulting mechanical load Wires extreme heat load reinforced extreme electrical environment by fibers 30 turns, 12 layers, 3 mh, t Pulse = 100 msec

2) Design, fabrication, and use of pulsed-field coils for materials research FEA example 1 (azimuthal symmetry): Challenging conditions in pulsed high-field (70 T) coils extremely high Lorentz forces and resulting mechanical load Wires extreme heat load reinforced extreme electrical environment by fibers 30 turns, 12 layers, 3 mh, t Pulse = 100 msec FEA allows for calculation of, e.g.: B(x, y, z, t) up to 72 T T(x, y, z, t) up to 350 K P(x, y, z, t) up to ~ 3.7 GPa Deformation dx(t), dy(t), dz(t)

2) Design, fabrication, and use of pulsed-field coils for materials research FEA example 1 (azimuthal symmetry): Deformation [10-4 m] Challenging conditions in pulsed high-field (70 T) coils extremely high Lorentz forces and resulting mechanical load extreme heat load extreme electrical environment 30 turns, 12 layers, 3 mh, t Pulse = 100 msec FEA allows for calculation of, e.g.: B(x, y, z, t) up to 72 T T(x, y, z, t) up to 350 K P(x, y, z, t) up to ~ 3.7 GPa Deformation dx(t), dy(t), dz(t) up to 0.2 mm

2) Intermediate conclusion Finite Element Analysis (FEA) has emerged to an important tool - to evaluate pulsed-magnetic field techniques which are a technology platform for modern research (and novel industrial innovations) - Thanks to the multiphysics, COMSOL offers many features to simulate the physical behavior of pulsed magnetic field coils made of various parts of materials or composites with very different quantities (iso- or anisotropic functions of temperature, field, pressure, ) - The simulations allow for predicting weak points in the coils and avoiding some failure modes. - COMSOL also allows for a computation ti of quantities which h are associated with the design of electrical circuits, such as the inductance of components without any restriction of their shape.

2) Intermediate conclusion Finite Element Analysis (FEA) has emerged to an important tool - to evaluate pulsed-magnetic field techniques which are a technology platform for modern research (and novel industrial innovations) - Thanks to the multiphysics, COMSOL offers many features to simulate the physical behavior of pulsed magnetic field coils made of various parts of materials or composites with very different quantities (iso- or anisotropic functions of temperature, field, pressure, ) - The simulations allow for predicting weak points in the coils and avoiding some failure modes. - COMSOL also allows for a computation ti of quantities which h are associated with the design of electrical circuits, such as the inductance of components without any restriction of their shape.

3) Simulation of a separator magnet for ion-beam facility ELBE = Electron Linac for beams with high Brilliance and low Emittance delivers multiple secondary beams - electromagnetic radiation - particles Requirements fo separator magnet: - to operate e - and e + accelerated up to 50 MeV - to bend them at 45-50 degrees - to have dimensions i about 1 m Geometry imported via CAD module

3) Simulation of a separator magnet for ion-beam facility ELBE FEA example 2 (3D geometry): Two variants have been suggested: - a conventional model - a model with the back leg yoke serving as a radiation shield. The beam enters the field aperture from behind the back leg yoke through a hole Geometry imported via CAD module

3) Simulation of a separator magnet for ion-beam facility ELBE Conclusion to the example: - possibility to make particle tracing - possibility to optimize focus position with respect to dimensions of the magnet - possibility to export 3D field map for further simulation of particle-material interaction (geant 4)

3) Simulation of a separator magnet for ion-beam facility ELBE Conclusion to the example: - possibility to make particle tracing - possibility to optimize focus position with respect to dimensions of the magnet - possibility to export 3D field map for further simulation of particle-material interaction (geant 4)

3) Magnetic targeting, diffusion and fixation MAGISTER is a frontier research project aiming to develop conceptually new type of Magnetic Scaffolds for tissue regeneration and orthopaedic surgery.

3) Magnetic targeting, diffusion and fixation MAGISTER is a frontier research project aiming to develop conceptually new type of Magnetic Scaffolds for tissue regeneration and orthopaedic surgery. Magnetic Scaffolds: - are reloadable with magnetic nanoparticles - should be fixed at certain position with the external magnetic field

3) Magnetic targeting, diffusion and fixation MAGISTER is a frontier research project aiming to develop conceptually new type of Magnetic Scaffolds for tissue regeneration and orthopaedic surgery. Magnetic Scaffolds: - are reloadable with magnetic nanoparticles (MNPs) - should be fixed at certain position with the external magnetic field We study: - manetic targeting, i.e. delivery of magnetic nanoparticles to the specific site - penetration of MNPs into the scaffold or microvsculture - fixation of magnetic scaffolds

3) Magnetic diffusion F ~ M B Magnetic force modifies the particle flux and this way enters the diffusion equiation: c = - (D c) - (c v mag )

3) Magnetic diffusion F ~ M B Magnetic force modifies the particle flux and this way enters the diffusion equiation: c = - (D c) - (c v mag )

3) Magnetic diffusion F ~ M B Magnetic force modifies the particle flux and this way enters the diffusion equiation: c = - (D c) - (c v mag )

3) Magnetic fixation

4) Conclusion to the example COMSOL allows for modeling of complex processes related to tissue engineering In conjunction with image-data processing software Comsol can serve as a useful simulation platform for medicine In the case of bone and osteochondral treatment, as investigated in the framework of MAGISTER project, it may provide a unique possibility to simulate and, thus, adjust the scaffold activity to the personal needs of the patient.

www.fzd.de/hld HLD is financed by Reported work was done under the EU projects: EuroMagNET DeNUF MAGISTER EuroMagNET-II Thank you for your attention!