PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
  • Sesja wygasła!
Tytuł artykułu

Thermodynamical and self-consistent approach to inelastic ferromagnetic polycrystals

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
International Conference on Continuous and Discrete Modelling in Mechanics (05-09.09.2005 ; Warsaw ; Poland)
Języki publikacji
EN
Abstrakty
EN
Geometric and kinematic aspects of intragranular as well as intergranular plastic deformation of ferromagnetic polycrystals are discussed. Elastic strain is covered by the effective field homogenization method inside a representative volume element (RVE). By applying this method, an effective magnetostriction 4-tensor is determined. The evolution equation formed by tensor representation having incremental form is postulated to model inelastic metals. The rate-dependence takes place by means of stress rate-dependent value of the initial yield stress. Concept of the M. Zorawski deformation geometry is extended on the basis of constrained micro- and free macrorotations in intermediate reference configuration. This has as a consequence that the evolution equation for plastic spin of RVE is an outcome of the evolution equation for plastic stretching. The macroscopic evolution equation is based on Vakulenko's concept of thermodynamic time. A tensor representation for magnetomechanical interaction is proposed and susceptibility coefficients for iron are calibrated.
Rocznik
Strony
393--430
Opis fizyczny
Bibliogr. 58 poz.
Twórcy
  • Faculty of Mechanical Engineering, University of Kragujevac, Sestre Janjica 6a, 34000, Kragujevac, Serbia and Montenegro, mmicun@EUnet.yu
Bibliografia
  • 1. ALBERTINI, C., MONTAGNANI, M. and MICUNOVIC,M., Viscoplastic behavior of AISI 316H - Multiaxial experimental results, [in:] Transactions of SMIRT-10, HADJIAN [Ed.], Los Angeles, 31-36, 1989.
  • 2. ANTHONY, K.-H., Nonmetric connexions, quasidislocations and quasidisclinations. A contribution to the theory of nonmechanical stresses in crystals, Fundamental aspects of dislocation theory, Vol. /, National Bureau of Standards Special Publication, 317, SIMMONS, J. A., DE WIT, R. and BULLOUGH R. [Eds.], 637-649,1970. Washington, D.C.
  • 3. BILBY, E., Continuous distributions of dislocations, Progress in Solid Mechanics, 1, 329-398, 1960.
  • 4. BOEHLER, J-P., A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy, ZAMM, 59, 157-167, 1979.
  • 5. BROWN, W.S. JR., Magnetoelastic interactions. Springer, Berlin 1966.
  • 6. BUIRON, N., HIRSINGER, L. and BILLARDON, R., A micro-macro model for magnetostriction and stress effect on magnetisation, J. Magn. Magn. Mats., 196-197, 868-870, 1999.
  • 7. BUIRON, N., HIRSINGER, L. and BILLARDON, R. (2001) A multiscale model of magnetostriction strain and stress effect, J. Magn. Magn. Mats., 226—230, 1002-1004.
  • 8. CASAS-VAZQUEZ, J., LEBON, G. and Jou, D. Extended irreversible thermodynamics, Springer, Berlin 2001.
  • 9. CHIKAZUMI, S., Physics of ferromagnetism, 2, Shokobo, Tokyo, (Translation into Russian, 1987, Mir PubL, Moscow) 1984.
  • 10. DANIEL, L., Modelisation multi-echelle du comportement magneto-mecanique des materiaux ferromagnetiques textures, PhD thesis, Ecole Normale Superieure de Cachan, France 2003.
  • 11. DANIEL, L., BUIRON, N., HUBERT, 0. and BILLARDON, R., Reversible magneto-elastic behavior. Parts I and II, J. Mech. Phys. Solids, submitted 2005.
  • 12. DASHNER, P. A., Invariance considerations in large strain elastoplasticity, J. Appl. Mech., 53, 55-60, 1986.
  • 13. ERBER, T., GURALNICK, S. A., DESAI, R. D. and KWOK, W., Piezomagnetism and fatigue, J. Phys. D: Appl. Phys., 30, 2818-2836, 1997.
  • 14. ESHELBY, J. D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. Roy. Society, 241, 376-396, 1957.
  • 15. FAEHNLE, M., FURTHMUEHLER, J. AND PAWELLEK. R., Continuum models of amorphous and poly crystalline ferromagnets: magnetostriction and internal stresses, [in:] Proc. Symp. Continuum Models and Discrete Systems (CMDS-6), Vol. 2., G. MAUGIN [Ed.], Longman, Harlow, 120-126, 1991.
  • 16. GIL SEVILANO, J.F., VAN HOUTTE, P. and AERNOUDT, E., Large strain work hardening and textures, [in:] Progress in Material Science, CHALMERS et al. [Eds.], Pergamon, Oxford 1981.
  • 17. HILL R., A self-consistent mechanics of composite materials, J. Mech. Phys.Solids, 13, 213-222, 1965.
  • 18. KANAUN S. K. and LEVIN V. M., Effective field method in mechanics of composites [in Russian], Petrozavodsk University Edition, 1993.
  • 19. KANAUN S. K. and JEULIN, D., J. Mech. Phys. Solids, 49, 2339-2367, 2001.
  • 20. KONDO, K., RAAG Memoirs, II(D), Tokyo: Gakujutsu 1958.
  • 21. KRONER E., Arch. Rational Mech. Anal., 4, 273, 1960.
  • 22. KRONER E., Initial studies of a plasticity theory based upon statistical mechanics, Inelastic Behavior of Solids, (KANNINEN, M. ADLER, W. ROSENFELD A. and JOFEE R.) [Eds.], 137-148, McGraw Hill, New York 1970,
  • 23. KUNIN, I. A., Elastic media with microstructure, Springer Series in Solid State Sciences, Berlin 1983.
  • 24. LEVIN V. M., On thermoelastic stresses in composite media [in Russian], Appl. Math. Mech. (PMM), 46/3, 502-506, 1982.
  • 25. Liu, I.-S., Arch. Rational Mech. Anal., 46, 131, 1972.
  • 26. MAKAR, J. M. and ATHERTON, D. L., Effects of isofield uniaxial cyclic stress on the magnetization of 2% mn pipeline steel - Behavior on minor hysteresis loops and small major hysteresis loops, IEEE Trans. Magn., 31/3, 2220-2227, 1995.
  • 27. MARKOV, K.Z., Justification of an effective field method in elasto-statics of heterogeneous solids, J. Mech. Phys. Solids, 49, 2621-2634, 2001.
  • 28. MARUSZEWSKI, B. and MICUNOVIC, M., Int. J. Engng. ScL, 27, 955, 1989.
  • 29. MAUGIN, G. A. and FOMETHE, A., Int. J. Engng. Sci. 20, 885, 1982.
  • 30. MAUGIN, G. A., SABIR, M. and CHAMBON, P., Coupled magnetomechanical hysteresis effects: Applications to nondestructive testing, [in:] Electromagnetic interactions in deformable solids and structures, Y. YAMAMOTO and K.MIYA [Eds.], North Holland, Amsterdam 1987.
  • 31. MAUGIN, G. A., Continuum mechanics of electromagnetic solids. North Holland, Amsterdam 1988.
  • 32. MICUNOVIĆ, M., A geometrical treatment of thermoelasticity of simple inhomogeneous bodies : I - geometric and kinematic relations, Bull. Acad. Polon. Sci., Ser. Sci. Techn., 22/11, 579-588, 1974.
  • 33. MICUNOVIĆ, M., Kinetic stress tensor in statistical theory of screw parallel dislocations, Theoret. Appl. Mech., 5, 91-96, 1979.
  • 34. MICUNOVIĆ, M., A thermodynamic approach to viscoplasticity, [in:] Proceedings of the 1-st National Congress on Mechanics, A. KOUNADIS et al. [Eds.], HSTAM, Athens, 364-376, 1987.
  • 35. MICUNOVIĆ, M., A Thermodynamic viscoplasticity theory of ideal fibre-reinforced materials, [in:] Mechanical Behavior of Composites and Laminates, W.A. GREEN and M. MICUNOVIC [Eds.], 199, Elsevier, London 1987.
  • 36. MICUNOVIĆ, M., ALBERTINI, C. and MONTAGNANI, M. High strain rate viscoplasticity of AISI 316 stainless steel from tension and shear experiments, Solid mechanics, MILJANIC P. [Ed.], Serbian Acad. Sci. Meetings - LXXXVII, Dept. Techn. Sci., 3, 97-106, 1997.
  • 37. MICUNOVIĆ, M. On viscoplasticity of ferromagnetics, Theoret. Appl. Mech., 26,107-126, 2001.
  • 38. MICUNOVIĆ, M., Some issues in poly crystal viscoplasticity of steels, Int. Symp. Structured Media - in memory of E. Kroner, MARUSZEWSKI, B. T. [Ed.], Poznań Univ. Technology Publ., 196-207, 2002.
  • 39. MICUNOVIĆ, M., Low order inelastic micromorphic polycrystals, Theoret. Appl. Mech., 28-29,235-259, 2002.
  • 40. MICUNOVIĆ, M., Self-consistent method applied to quasi-rate dependent polycrystals, Phil. Magazine, 85 (33-35), 4031-4054, 2005.
  • 41. MIĆUNOVIĆ, M., Some Issues of Thermomechanics of Viscoplasticity, AMMA - III, OGDEN, R. W. and GAO, D. [Eds.], 187-348, in print, Springer, Berlin 2006.
  • 42. MULLER, I., Arch. Rational Mech. Anal. 41, 319, 1971.
  • 43. MOTOGI, S. and FUKUDA, T., Modelling of AE effect in polycrystalline ferromagnets, Mechanical Modellings of New Electromagnetic Materials, HSIEH R. K. T. [Ed.j, Elsevier, 281-288, Amsterdam 1990.
  • 44. MOTOGI, S. and MAUGIN, G. A., Nonlinear stress-strain behavior of multi-domain ferromagnets Mechanics of Electromagnetic Materials and Structures, LEE, J. S., MAUGIN, G. A. and SHINDO, Y. [Eds.], ASME, AMD-Vol. 161 / MD-Vol. 42, 99-114, 1993.
  • 45. NAERLOVIC-VELJKOVIĆ, N., Field eguations for micropolar current and a heat conducting magnetically-saturated solid, Arch. Mech., 29/4, 625-630, 1977.
  • 46. NOVOZHILOV, Yu.V. and YAPPA, Electrodynamics, Mir, Moscow 1981.
  • 47. RUUSKANEN, P., Magnetomechanical effect in polycrystalline iron, [in:] Strength of Metals and Alloys, P.O. KETTUNEN et al. [Eds.], Pergamon, Oxford 1988.
  • 48. SOMMERFELD, A., Thermodynamics and statistical physics, Academic Press, New York 1955.
  • 49. SPENCER, A. J.M., Theory of invariants, [in:] Continuum Physics, A.C. Eringen [Ed.], Academic Press, New York 1971.
  • 50. STOJANOVIĆ, R., On the reference-state problem in the nonlinear elasticity theory of continua with dislocations, Physica Status Solidi, 2, 566-575, 1962.
  • 51. TEODOSIU, C., A dynamie theory of dislocations and its applications to the theory o f the elastic-plastic continuum, Fundamental Aspects of Dislocation Theory, Vol.I, National Bureau of Standards Special Publication, 317, SIMMONS, J. A., DE WIT, R. and BULLOUGH R. [Eds.], 837-877, 1970, Washington, D.C.
  • 52. TRUESDELL, C. and W. NOLL. The non-linear field theories of mechanics, Handbuch der Physik, III/3, FLUGGE S. [Ed.], Springer Berlin 1965.
  • 53. VAKULENKO, A. A., Superposition in continuum rheology [in Russian], Izv. AN SSSR Mekhanika Tverdogo Tela, l, 69-74, 1970.
  • 54. VALANIS, K. C., A theory of viscoplasticity without a yield surface, Archives of Mechanics, 23, 517-533, 1971.
  • 55. WILLIS, J. R., Elasticity theory of composites [in:] Mechanics of Solids, HOPKINS, H. G., SEWELL, M. J. [Eds.], Pergamon, 653-686, Oxford 1982.
  • 56. ZHOU, S. A. and HSIEH, R. K. T., Int. J. Engng. ScL 26/1, 13, 1988.
  • 57. ZORSKI, H. Statistical theory of dislocations, Int. J. Engng. Sci., 4, 959-974, 1968.
  • 58. ZORAWSKI, M., A private communication, 1974.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0002-0016
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.