Mathematical Physics - Volume II - Numerical Methods
208
BIBLIOGRAPHY
[66] Moussa B., (2000), Meshless Particle methods: Recent developments for non linear conservation laws in bounded domain, in Godunov Methods: Theory and Applications, E. F. Toro (Editor), Kluwer Academic/Plenum Publishers [67] Moussa B., J. P. Vila, (2000), Convergence of the SPH method for scalar nonlinear conservation laws, SIAM Journal of Numerical Analysis, Vol 37 number 3, pp 863-887. [68] Neilsen, M. K. and Schreyer, H. L., 1993. "Bifurcations in Elastic-Plastic Materials", International Journal of Solids and Structures, 30 (4), 521-544 [69] Parshikov A. N., Medin S. A., Loukashenko I. I. and Milekhin V. A., (2000), Improvements in SPH method by means of inter-particle contact algorithm and analysis of perforation tests at moderate projectile velocities, Int. J. Impact Engng., 24 pp 779-796 [70] Petschek A. G. and Libersky, L. D., (1993), Cylindrical smoothed particle hydrody namics. Journal of Computational Physics, Vol. 109, pp. 76-83. [71] Pijaudier-Cabot, G. and Bažant, Z.P., 1987. “Nonlocal Damage Theory”, Journal of Engineering Mechanics, ASCE , 113, 1512-1533 [72] Price J. and Monaghan J., (2004), Smoothed particle magneto-hydrodynamics: II. Variational principles and variable smoothing length terms, Mon. Not. R. Astron. Soc. 348, pp. 139-52 [73] Rabczuk T, Belytschko T, Xiao SP., (2004), Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering; 193: pp. 1035-1063 [74] Ramaswamy, S. and Aravas, N., 1998. “Finite Element Implementation of Gradient Plasticity Models part I: Gradient-Dependent Yield Functions,” Computer Methods in Applied Mechanics and Engineering, 163, 11-32 [75] Rabotnov, Y. N., 1968. "Creep Rupture", 12th International Congress of Applied Mechanics, Stanford, Springer-Verlag, Berlin, 342 [76] Rudnicki, J. W. and Rice, J. R., 1975. "Conditions for the Localization of Deforma tion in Pressure-Sensitive Dilatant Materials", Journal of Mechanics and Physics of Solids, 23, 371-394 [77] Randles P. W. and Libersky L. D., (1996), Smoothed particle hydrodynamics: Some recent improvements and applications, Computer methods in applied mechanics and engineering, 139, pp. 375-408. [78] Randles, P.W., Libersky, L.D. and Petschek, A.G., (1999), On neighbors, derivatives, and viscosity in particle codes, in: Proceedings of ECCM Conference, Munich, Germany [79] Randles, P.W., Libersky, L.D., (2000), Normalised SPH with stress points, Int. Journal Numerical Methods in Engineering, Vol. 48, pp. 1445-1462
Made with FlippingBook flipbook maker