Séparation et reconstruction des ondes dans les barres élastiques et viscoélastiques à partir de mesures redondantes

Ramzi Othman1, Marie-Noëlle Bussac2, Pierre Collet2, Gérard Gary1
1Laboratoire de mécanique des solides, UMR 7649, École polytechnique, 91128 Palaiseau, France
2Centre de physique théorique, UMR 7644, École polytechnique, 91128 Palaiseau, France

Tài liệu tham khảo

Kolsky, 1949, An investigation of the mechanical properties of materials at very high rates of loading, Proc. Phys. Soc. B, 62, 676, 10.1088/0370-1301/62/11/302 Hopkinson, 1914, A method of measuring the pressure in the detonation of high explosives or by an impact of bullets, Philos. Trans. Roy. Soc. Ser. A, 231, 437, 10.1098/rsta.1914.0010 Campbell, 1956, The yield behaviour of mild steel in dynamic compression, Proc. Roy. Soc. London Ser. A, 236, 24, 10.1098/rspa.1956.0110 Lundberg, 1977, Analysis of elastic waves in non-uniform rods from two-point strain measurement, Experiment. Mech., 17, 213, 10.1007/BF02324491 Park, 1999, Separation of elastic waves in split Hopkinson bars using one-point strain measurements, Experiment. Mech., 39, 287, 10.1007/BF02329807 Zhao, 1994, Une nouvelle méthode de séparation des ondes pour l'analyse des essais dynamiques, C. R. Acad. Sci. Série II, 319, 987 Zhao, 1997, A new method for the separation of waves. Application to the SHPB technique for an unlimited measuring duration, J. Mech. Phys. Solids, 45, 1185, 10.1016/S0022-5096(96)00117-2 Bacon, 1999, Separating waves propagating in an elastic Hopkinson pressure bar with three-dimensional effects, Int. J. Impact Engng., 22, 55, 10.1016/S0734-743X(98)00048-7 Davies, 1948, A critical study of Hopkinson pressure bar, Phil. Trans. Roy. Soc. Ser. A, 240, 375, 10.1098/rsta.1948.0001 Lundberg, 1988, Determination of mechanical material properties from the two-point response of an impacted linearly viscoelastic rod specimen, J. Sound Vibration, 137, 483, 10.1016/0022-460X(90)90813-F Bussac M.N., Collet P., Gary G., Othman R., An optimisation method for separating and rebuilding one-dimensional dispersive waves from multi-point measurements. Application to elastic or viscoelastic bars, J. Mech. Phys. Solids, 2001, in print Pochhammer, 1876, Uber die Fortpflanzungsgeschwindigkeinten kleiner Schwingungen in einem unbergrenzten isotropen Kreiszylinder, J. die Reine Angew. Math., 81, 324 Chree, 1889, The equations of an isotropic elastic solid in polar and cylindrical co-ords, their solutions and applications, Cambridge Phil. Soc. Trans., 14, 250 Zhao, 1995, A three dimensional analytical solution of longitudinal wave propagation in an infinite linear viscoelastic cylindrical bar. Application to experimental techniques, J. Mech. Phys. Solids, 43, 1335, 10.1016/0022-5096(95)00030-M Van Trees, 1968 Morse, 1953 Hillström, 2000, Identification of complex modulus from measured strains on an axially impacted bar using least squares, J. Sound Vibration, 230, 689, 10.1006/jsvi.1999.2649