II. Gravitation,
mécanique quantique dans un champ de gravitation
Gravitation, quantum mechanics in a gravitational field
Courriel : arminjon@hmg.inpg.fr
.
De nombreuses publications sont accessibles par un
lien, surtout parmi celles du thème II.
E-mail: arminjon@hmg.inpg.fr
.
Many publications can
be accessed by a link, especially among
those belonging to theme II.
I. Mécanique des milieux continus hétérogènes, Homogénéisation en mécanique des matériaux
A. Revues à comité de lecture / Refereed Journals
A1. M. Arminjon : " Théorie d’une classe de modèles de Taylor " hétérogènes ". Application aux textures de déformation des aciers ", Acta metall.35, N° 3, 615-630, 1987.
A2. M. Arminjon, " Sur le champ de rotation des cristaux dans un polycristal déformé plastiquement ", J. Méc. Théor. Appl. 6, N° 4, 511-523, 1987.
A3. M. Arminjon, C. Donadille, " Présentation d’un modèle polycristallin extrémal. Application aux aciers d’un modèle approché ", Mém. Et. Sc. Rev. Métall.87, N° 6, 359-382, 1990.
A4. M. Arminjon, " Limit distributions of the states and homogenization in random media ", Acta Mechanica88, 27-59, 1991.
A5. M. Arminjon, B. Bacroix, " On plastic potentials for anisotropic metals and their derivation from the texture function ", Acta Mechanica 88, 219-243, 1991.
A6. M. Arminjon, " Macro-homogeneous strain fields with arbitrary local inhomogeneity ", Arch. Mech. 43, N° 2-3, 191-214, 1991.
A7. M. Arminjon, " A regular form of the Schmid law. Application to the ambiguity problem ", Textures and Microstructures 14-18, 1121-1128, 1991.
A10. M. Arminjon, T. Chambard, S. Turgeman, " Homogénéisation d’un mortier avec une répartition aléatoire de fibres ", C.-R. Acad. Sci. Paris 316, Sér. II, 1505-1510, 1993.
A11. M. Arminjon, B. Bacroix, D. Imbault, J.L. Raphanel, " A fourth-order plastic potential for anisotropic metals and its analytical calculation from the texture function ", Acta Mechanica107, 33-51, 1994.
A12. M. Arminjon, T. Chambard, S. Turgeman, " Variational micro-macro transition, with application to reinforced mortars ", Int. J. Solids Structures 31, N° 5, 683-704, 1994.
A13. D. Ceccaldi, F. Yala, T. Baudin, R. Penelle, F. Royer, M. Arminjon, " Deformation textures and plastic anisotropy of steels, as predicted by the Taylor model and a non-homogeneous model ", Int. J. Plasticity 10, N° 6, 643-661, 1994.
A14. M. Arminjon, D. Imbault, " An analytical micro-macro model for textured polycrystals at large plastic strains ", Int. J. Plasticity 10, N° 7, 825-847, 1994.
A17. M. Arminjon, D. Imbault, " Variational micro-macro model and deformation textures predicted for steels ", Textures and Microstructures 26-27 (the Hsun Hu memory volume), 191-220, 1996 (sur invitation du Prof. H.J. Bunge, éditeur en chef).
A21. M. Arminjon, B. Guessab, " A model with two micro-scales for the effects of geometrical distribution of material inhomogeneity ", Acta Mechanica 134, 61-79, 1999.
A24. M. Arminjon, D. Imbault, "Maximum entropy principle and texture formation", Zeitschrift für angewandte Mathematik und Mechanik, 80, Suppl. N°1, 13-16 (2000).
A27. O Gagliardini, M. Arminjon, D.
Imbault, "An inhomogeneous model applied to predict the behaviour of
isotropic polycrystalline ice", Arch. Mech. 53,
N°1, 3-21 (2001).
B. Actes de
congrès avec comité de lecture (mécanique)
Refereed congress
proceedings (mechanics)
B1. M. Arminjon, J.P. Boehler, " Comportement plastique et texture cristallographique des métaux anisotropes ", Coll. Int. C.N.R.S., n° 319 (Villard-de-Lans, 1981). Texte in " Plastic Behavior of Anisotropic Solids", (J.P. Boehler, édr.), Ed. du C.N.R.S., 1985, pp. 133-155.
B2. M. Arminjon, " Effects of the loading path on the anisotropic strain-hardening of sheet metals ", Coll. Int. C.N.R.S. N° 351 (Villard-de-Lans, 1983). Texte in " Failure Criteria of Structured Media " (J.P. Boehler, édr.), Balkema, Rotterdam, 1993, pp. 339-351.
B3. M. Arminjon, " Explicit relationships between texture coefficients and three-dimensional yield criteria of metals ", 7th Int. Conf. Text. Mat. (ICOTOM 7, Noordwijkerhout, 1984). C.M. Brakman et al., éds., Netherlands Soc. Mater. Sci., Zwijndrecht, 1984, pp. 31-37.
B4. M. Arminjon, C. Donadille, " Comparison between experimental deformation textures of extra-mild steels and textures calculated by an extremum-based theoretical model for polycristals ", 8th Int. Conf. Text. Mat. (ICOTOM 8, Santa Fé, 1987). J.S. Kallend, G. Gottstein, éds., the Metallurgical Society, Warrendale, 1988, pp. 387-393.
B5. M. Arminjon, J.L. Chenot, " An implicit formulation for finite element analysis of dynamic plastic deformation in 2D geometry ", NUMETA 87 : International Conference on Numerical Methods in Engineering : Theory and Applications (Swansea, 1987). G. N. Pande & J. Middleton, éds., Martinus Nijhoff, 1987, T 2/1-10.
B6. C. Dumont, C. Levaillant, M. Arminjon, J.L. Chenot " Modelling of dynamic tension tests applied to ductility problems ", DYMAT 88 (Ajaccio, 1988). Texte in Journal de Physique, Supplém. au n° 9, 49, 1988, C3/505-512.
B7. M. Arminjon, D. Imbault : " Does a polycrystal model disclose a single plastic spin ? ", Coll. Int. Mécamat '91 (Fontainebleau, 1991). Texte in " Large Plastic Deformations " (C. Teodosiu, J.L. Raphanel, F. Sidoroff, éds.), Balkema, 1993, pp. 89-99.
B8. M. Arminjon, D. Imbault, " Analytical micro-macro model of anisotropic plasticity at large strains ", Invited Paper, 4th. Int. Symp. Plasticity and Its Current Applications (Baltimore, 1993). Texte à paraître (A.S. Khan, édr.).
B9. M. Arminjon, A. Bottero, B. Guessab, S. Turgeman, " Comments on a variational micro-macro model for random composites and the integration of microstructural data ", Invited Lecture, Symposium Int. Union Theoret. Appl. Mech. (IUTAM) " Microstructure-property interactions in composite materials " (Aalborg, Danemark, 23-25 Août 1994). Texte in Actes du Symp. (R. Pyrz, édr.), pp. 1-14. Kluwer, Dordrecht (1995).
B10. M. Arminjon, D. Imbault, " On variational micro-macro models and their application to polycrystals ", Invited Paper, 5th. Int. Symp. Plasticity and Its Current Applications (Osaka, 17-21 Juillet 1995). Texte in Dynamical Plasticity and Structural Behaviors, Proc. Plasticity ‘95 (Sh. Tanimura et A. S. Khan, édrs.), pp. 245-248. Gordon and Breach, Luxembourg (1995).
B11. M. Arminjon, D. Imbault, " Un modèle micro-macro variationnel et ses prédictions pour les hétérogénéités et textures de déformation (aciers) ", Conférence invitée, 9ème Colloque Annuel Mécamat : " Mécanismes et Mécanique des grandes déformations " (Aussois, 28/01-01/02 1996). Texte de 4 pages paru (textes rassemblés par G. Cailletaud, organisateur du Colloque).
B12. D. Imbault, M. Arminjon, " Deformation textures of fcc materials predicted with a regular form of the Schmid law", Int. Conf. Texture and Anisotropy of Polycrystals (Clausthal, Allemagne, 1997). Texte in Materials Science Forum, 273-275, 1998, pp. 371-376.
B14. M. Arminjon, D Imbault, "Physical
meaning and experimental check of a variational principle for
macro-to-micro
transition", Invited Lecture, Symposium Int. Union Theoret. Appl.
Mech.
(IUTAM) " Micro- and Macrostructural Aspects of Thermoplasticity
" (Bochum, Allemagne, 25-29 Août 1997). Text in " Micro- and
Macrostructural Aspects of Thermoplasticity " (O.T. Bruhns & E.
Stein, éds.), pp. 197-206. Kluwer, Dordrecht (1999) .
B28. M. Najib, M. Arminjon, H. Smaoui,
"Stochastic
Homogenization of a Two-Dimensional Granular Medium", Proceedings
of the Third International Conference on Advances in Mechanical
Engineering and Mechanics (Tunis, December 2006) (to appear).
II. Gravitation, mécanique
quantique dans un champ de gravitation
A. Revues à comité de lecture / Refereed Journals
A8. M. Arminjon, " A theory of gravity as a pressure force. I. Newtonian space and time ", Rev. Roum. Sci. Techn. - Méc. Appl. 38, N° 1, 3-24, 1993. PDF version from scanning the printed paper: part 1 (967 kb) ; part 2 (924 kb) ; part 3 (953 kb).
A9. M. Arminjon, " A theory of gravity as a pressure force. II. Lorentz contraction and ‘relativistic’ effects ", Rev. Roum. Sci. Techn. - Méc. Appl. 38, N° 2, 107-128, 1993. PDF version from scanning the printed paper: part 1 (964 kb) ; part 2 (860 kb) ; part 3 (874 kb).
A15. M. Arminjon, "
Energy and equations of motion
in a tentative theory of gravity with a
privileged reference frame ", Arch. Mech. 48,
N°1,
25-52, 1996. HTML version (Symbol characters
may be misinterpreted).
A16. M. Arminjon, " On the extension of Newton’s second law to theories of gravitation in curved space-time", Arch. Mech. 48, N°3, 551-576, 1996. HTML version (Symbol characters may be misinterpreted).
A18. M. Arminjon, " Scalar theory of gravity as a pressure force ", Rev. Roum. Sci. Techn. - Méc. Appl.42, N°1-2, 27-57, 1997. HTML version (Symbol characters may be misinterpreted). N.B.: the first version of this work (almost identical to the present one) dates back to end 1992, it is well anterior to [A15] and [A16].
A19. M. Arminjon, " Post-Newtonian approximation of a scalar theory of gravitation and application to light rays ", Rev. Roum. Sci. Techn. - Méc. Appl.. 43, N°2,135-153, 1998.
A20. M. Arminjon, " On the possibility of matter creation/destruction in a variable gravitational field ", Analele Universitatii Bucuresti - Fizica 47, 3-21, 1998.
A22. M. Arminjon, " On the relation Hamiltonian - wave equation, and on non-spreading solutions of Schrödinger’s equation ", Nuovo Cimento 114B, N°1, 71-86, 1999.
A23. M. Arminjon, " Asymptotic expansions for relativistic celestial mechanics ", Romanian Journal of Physics, 45, N° 5-6, 389-414 (2000).
A25. M. Arminjon, "Motion of the mass centers in a scalar theory of gravitation. I. Definition of mass centers and general form of the equations of motion", Romanian Journal of Physics, 45, N° 9-10, 645-658 (2000).
A26. M. Arminjon, "Motion of the mass centers in a scalar theory of gravitation. II. Explicit equations of motion in the relevant approximation", Romanian Journal of Physics, 45, N° 9-10, 659-678 (2000).
A28. M. Arminjon, "Accelerated expansion as predicted by an ether theory of gravitation", Physics Essays 14, N°1, 10-32 (2001).
A29. M. Arminjon, "Comparison between two methods of post-Newtonian expansion for the motion in a weak Schwarzschild field", Nuovo Cimento 116B, N°11, 1277-1290 (2001).
A30. M. Arminjon, "Proper initial conditions for long-term integrations of the solar system", Astronomy & Astrophysics 383, 729-737 (2002).
A31. M. Arminjon, "A numerical solution
of the inverse problem in classical celestial mechanics, with
application to Mercury's motion", Meccanica 39, 17-29
(2004).
A32. M. Arminjon, ``Equations of motion of the mass centers in a scalar theory of gravitation: Expansion in the separation parameter", Romanian Journal of Physics, 48, N° 7-10, 805-820 (2003).
A33. M. Arminjon, ``Equations of motion of
the mass centers in a scalar theory of gravitation: the point particle
limit", Romanian Journal of Physics, 49, N° 7-8, 549-571 (2004).
A34. M. Arminjon, ``Gravitational effects on
light rays and binary pulsar energy loss in a scalar theory of gravity",
Theoretical and Mathematical Physics 140 (1), 1011-1027
(2004) [Teoreticheskaya i
Matematicheskaya Fizika 140 (1), 139-159
(2004)].
A35. M. Arminjon, ``Space isotropy and weak
equivalence principle in a scalar theory of gravity", Brazilian
Journal of Physics 36, 177-189 (2006).
A36. M. Arminjon, ``Equations of motion according to the asymptotic post-Newtonian scheme for general relativity in the harmonic gauge", Physical Review D 72, 084002 (2005), 20 pages.
A37. M. Arminjon, ``Dirac
equation from the Hamiltonian and the case with a gravitational field",
Foundations
of
Physics Letters 19
(3), 225-247 (2006).
A38. M. Arminjon, ``Post-Newtonian equation
for the energy levels of a Dirac particle in a static metric",
Physical Review D 74, 065017 (2006), 9 pages.
A39. M. Arminjon, ``Dirac-type equations in a
gravitational field, with vector wave function", Foundations
of Physics 38,
1020--1045 (2008).
A40.
M. Arminjon, F.
Reifler, ``Dirac equation:
Representation independence and tensor transformation", Brazilian
Journal of Physics 38,
248-258 (2008).
A41. M. Arminjon, ``Main effects of the Earth's
rotation on the stationary states of ultra-cold neutrons", Physics Letters A 372, 2196-2200 (2008).
A42. M. Arminjon, F. Reifler, ``Basic quantum mechanics for three Dirac equations in a curved spacetime", submitted for publication.
A43. M. Arminjon, F. Reifler, ``A non-uniqueness problem of the Dirac theory in a curved spacetime", submitted for publication.
To
the page Lorentz-Poincaré relativity and a scalar theory of
gravitation
B. Actes de
congrès avec comité de lecture (gravitation)
Refereed congress
proceedings (gravitation)
B13. M. Arminjon, " Gravitation as a pressure force: a scalar ether theory ", Proc. 5th. Int. Conf. " Physical Interpretations of Relativity Theory " (London, 1996), Supplementary Papers Volume (M.C. Duffy, edr.), British Soc. Philos. Sci./ University of Sunderland, 1998, pp. 1-27. HTML version (Symbol characters may be misinterpreted). PDF version: part 1. PDF version: part 2. PDF version: part 3. PDF version: part 4.
B15. M. Arminjon, " Remarks on the mathematical origin of wave mechanics and consequences for a quantum mechanics in a gravitational field ", 6th. Int. Conf. " Physical Interpretations of Relativity Theory " (London, 1998), Proceedings (M.C. Duffy, edr.), British Soc. Philos. Sci. /Univ. of Sunderland, 1998, pp. 1-17.
B16. M. Arminjon, " On asymptotic approximations for celestial mechanics in relativistic theories of gravitation ", Semi-Plenary Lecture, 1999 Summer School "Nonlinear Oscillations in Mechanical Systems", St Petersbourg, 1-8 Sept. 1999. Text appeared in the Proceedings (D.A. Indeitsev & V.A. Palmov, edrs., Institute of Problems of Mechanical Engineering / Russian Academy of Sciences, St Petersburg).
B17. M. Arminjon, " The scalar ether-theory of gravitation and some implications ", Invited Lecture, 23rd. International Workshop on the Fundamental Problems of High Energy Physics and Field Theory (Protvino, 21-23 Juin 2000), Proceedings (I. V. Filimonova & V. A. Petrov, eds.), Inst. for High Energy Physics, Protvino, 2000, pp. 200-210.
B18. M. Arminjon, " Weak-field approximation of a scalar theory of gravitation and the propagation effects of gravity, Physical Interpretations of Relativity Theory VI, Late Papers (M.C. Duffy, edr.), British Soc. Philos. Sci. /Univ. of Sunderland, 2000, pp. 1-13.
B19. M. Arminjon, " On a scalar theory of gravitation", Ninth Marcel Grossmann Meeting on General Relativity (Roma, 2000), Proceedings (V. G. Gurzadyan, R. T. Jantzen, R. Ruffini, eds.), World Scientific, 2002, pp. 1084-1085.
B20. M. Arminjon, " Cosmology in a scalar ether theory of gravitation ", Physical Interpretations of Relativity Theory VII (London, 2000), Proceedings (M.C. Duffy, edr.), British Soc. Philos. Sci. /Univ. of Sunderland, 2000, pp. 1-15.
B21. M. Arminjon, " The scalar ether-theory of gravitation and its first test in celestial mechanics ", 5th Friedmann International Seminar on Gravitation and Cosmology, (João Pessoa, Brazil, 23-30 April 2002), Int. J. Mod. Phys. A17, 4203-4208 (2002).
B22. M. Arminjon, " Testing a theory of gravity in celestial mechanics: a new method and its first results for a scalar theory ", Physical Interpretations of Relativity Theory VIII (London, 2002), Proceedings (M.C. Duffy, edr.), PD Publications, Liverpool, pp. 1-16, 2004.
B23. M. Arminjon, "Point-particle limit in a scalar theory of gravitation and the weak equivalence principle", 38th Rencontres de Moriond: "Gravitational waves and experimental gravity" (Les Arcs, France, March 2003), Proceedings (J. Dumarchez & J. Tran Thanh Van, eds.), The Gioi, Hanoi, pp. 377-382, 2004.
B24. M. Arminjon, "Gravitational Energy Loss
and Binary Pulsars in the Scalar Ether-Theory of Gravitation",
in Beyond the Desert 2003, Proc. 4th Conf. on Particle
Physics Beyond the Standard Model (H. V.
Klapdor-Kleingrothaus, ed.), Springer Proceedings in Physics, vol. 92,
pp. 471-483, 2004.
B25. M. Arminjon, "Scalar ether theory of
gravity: a modification that seems needed", Physical
Interpretations of Relativity Theory IX (London, September 3-6,
2004), Proceedings
(M. C. Duffy, edr.), PD Publications,
Liverpool, pp. 1-7, 2004.
B26. M. Arminjon, "Scalar gravity with
preferred frame:
asymptotic post-Newtonian scheme and the weak equivalence
principle",
2nd Advanced Research Workshop "Gravity, Astrophysics and Strings at
the Black Sea"
(Kiten, Bulgaria, June 10-16, 2004), Proceedings
(P. Fiziev & M.
Todorov,
eds.), St. Kliment Ohridski University Press, pp. 1-16, 2005.
B27. M. Arminjon, ``Equations of motion
according to the asymptotic post-Newtonian scheme for general relativity",
3rd Advanced Research Workshop
"Gravity, Astrophysics and Strings at
the Black Sea"
(Kiten, Bulgaria, June 13-20, 2005), Proceedings
(P.
Fiziev & M.
Todorov,
eds.), St. Kliment Ohridski University Press, pp. 1-9, 2006.
B29. M. Arminjon, ``Quantum wave equations in curved
space-time from wave mechanics", in Symmetry and Perturbation Theory, Proc. of
the International Conference SPT 2007 (G. Gaeta, Raff. Vitolo
and S. Walcher, eds), World Scientific (2007), pp. 239-240.
B30. M. Arminjon, F. Reifler, “Quantum mechanics for three versions of the Dirac equation in a curved spacetime”, 11th Int. Conf. “Physical Interpretations of Relativity Theory”, Imperial College, London, 12-15 Sept. 2008 ; submitted to the Proceedings.
B31. M.
Arminjon, F. Reifler, ``Non-uniqueness of the Dirac
theory
in a curved spacetime", First
Mediterranean Conference on
Classical and Quantum
Gravity (Kolymbari, Greece, 14-18 Sept. 2009), submitted to
the Proceedings. Slides.
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