Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical simulation

Continuum Mechanics and Thermodynamics

Volumn 19, Issue 1-2, 2007, Pages 81-109

  Popović, Nikola ^a   Praetorius, Dirk ^b   Schlömerkemper, Anja ^c  

^a USA   (United States)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

Author keywords

Magnetic force formulae; Magnetostatics; Numerical simulation; Single layer potential

Indexed keywords

MAGNETIC FORCE FORMULAE; MAGNETIC FORCES; MAGNETOELASTIC PHENOMENA; SINGLE LAYER POTENTIAL;

COMPUTER SIMULATION; CONTINUUM MECHANICS; ELASTICITY; GEOMETRY; MAGNETIC MATERIALS; NUMERICAL METHODS;

MAGNETOSTATICS;

EID: 34250331697     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-007-0047-8     Document Type: Article

References (17)

1. Bobbio, S.: Electrodynamics of Materials: Forces, Stresses, and Energies in Solids and Fluids. Academic, San Diego (2000)
2. Brown, W.F.: Magnetoelastic Interactions. Springer. Berlin (1966)
3. Carstensen, C.: Wissenschaftliches Rechnen I. Lecture Notes, Christian-Albrechts-Universität, Kiel (2001)
4. DeSimone, A., Kohn, R.V., Müller, S., Otto, F.: Recent analytical developments in micromagnetics. In: Bertotti, Q., Mayergoyz, I. (eds.) The Science of Hysteresis, Vol. II, pp. 269-383. Academic, New York (2006)
5. DeSimone, A., Podio-Guidugli, P.: On the Continuum Theory of Deformable Ferromagnetic Solids. Arch. Ration. Mech. Anal. 136. 201-233 (1996)
6. Eimüller, T.: Personal communication, Ruhr University of Bochum (2006)
7. Bringen, A.C., Maugin, G.A.: Electrodynamics of Continua. Springer, New York (1990)
8. Hubert, A., Schäfer, R.: Magnetic Domains. The Analysis of Magnetic Microstructures. Springer, New York (1998)
9. James, R.D.: Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever. Continuum Mech. Thermodyn. 14, 55-86 (2002)
10. Maischak, M.: The Analytical Computation of the Galerkin Elements for the Laplace, Lamé and Helmholtz Equation in 2D-BEM. Technical Report ifam48, Institut für Angewandte Mathematik, Universität Hannover (1999)
11. Maischak, M.: The Analytical Computation of the Galerkin Elements for the Laplace, Lame and Helmholtz Equation in 3D-BEM. Technical Report ifam50, Institut für Angewandte Mathematik, Universität Hannover, (2000)
12. Pabst, S.: Analytische Berechnung und Untersuchung von magnetischen Kräften. Praktikumsbericht, Max Planck Institute for Mathematics in the Sciences, Leipzig (2006)
13. Popović, N., Praetorius, D., Schlömerkemper, A.: Analysis and Numerical Simulation of Magnetic Forces between Rigid Polygonal Bodies. Part I: Analysis. Max Planck Institute for Mathematics in the Sciences, Leipzig, Preprint 63/2006, to appear in Continuum. Mech. Thermodyn. (2007)
14. Praetorius, D.: Analysis, Numerik und Simulation eines relaxierten Modellproblems zum Mikromagnetismus. PhD thesis, Vienna University of Technology, Vienna (2003)
15. Schlömerkemper, A.: Magnetic forces in discrete and continuous systems. PhD thesis, University of Leipzig, Leipzig (2002)
16. Schlömerkemper, A.: Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material. Arch. Rational Mech. Anal. 176, 227-269 (2005)
17. Schlömerkemper, A., Schmidt, B.: Discrete-to-continuum limits of magnetic forces in dependence on the distance between bodies. Max Planck Institute for Mathematics in the Sciences, Leipzig, Preprint 29/2007