Mathematical Physics - Volume II - Numerical Methods

276

BIBLIOGRAPHY

[44] Fung, Y.C., 1977, “A First Course In Continuum Mechanics,” Prentice Hall, Engle wood Clifs. [45] Taylor, G.E., 1948, “The use of flat-ended projectiles for determining dynamic yield stress I. Theoretical considerations”, Proc. Royal Soc. London A 194 (1038): 289-299. [46] Mastilovic, S., 2015, “Impact fragmentation of nanoscale projectiles at ultrahigh striking velocities”, Meccanica 50: 2353-2367. [47] Mesarovic, S.D., Padbidri, J., 2005, “Minimal Kinematic Boundary Conditions for Simulations of Disordered Microstructures,” Philosophical Magazine, 85, 65-78. [48] Parrinello, M., Rahman, A., 1981, “Polymorphic transitions in single crystals: a new molecular dynamics method,” J. Appl. Phys., 52, 7182-7190. [49] Nose, S., Klein, M.L., 1983, “Constant pressure molecular dynamics for molecular systems,” Molec. Phys., 50, 1055-1076. [50] Li, M., Johnson, W.L., 1992, “Fluctuations and thermodynamic response functions in a Lennard-Jones solid,” Phys. Rev. B, 46 (9), 5237–5241. [51] Li, M., Johnson, W.L.,1993, “Ergodicity and convergence of fluctuations in Parrinello-Rahman molecular dynamics,” Mat. Res. Soc. Symp. Proc., 291, 285-290. [52] Verlet, L., 1967, “Computer Experiments on Classical Fluids. I. Thermodynamical Properties on Lennard-Jones Molecules,” Phys. Rev., 159(1), 98-103. [53] Andersen, H.C., 1980, “Molecular dynamics at constrant pressure and temperature,” J. Chem. Phys., 72, 2384–2393. [54] Berendsen, H.J.C. et al, 1984, “Molecular dynamics with coupling to an external bath,” J. Chem. Phys., 81(8), 3684–3690. [55] Nose, S., 1991, “Constant Temperature Molecular Dynamics Methods,” Progress Theor. Phys. Supplement, 103, 1-46. [56] Holian, B.L., De Groot, A.J., Hoover W.G., Hoover C.G., 1990, “Time-reversible equilibrium and nonequilibrium isothermal-isobaric simulations with centered difference Störmer algorithms,” Phys. Rev. A, 41, 4552-4553. [57] Nose S., 2001, “An improved symplectic integrator for Nose-Poincare thermostat,” J. Phys. Soc. Jpn. 70, 75-77. [58] Freddolino, P.L., Liu, F., Gruebele, M., Schulten, K., 2008, “Ten-microsecond moledular dynamics simulation of a fast folding WW domain,” Biophys J. 94(10): L75–L77. [59] Bourne, N.K., 2011, “Materials’ Physics in Extremes: Akrology,“ Metallurgical Mater Trans A; 42A: 2975-2984. [60] Greenspan, D., 1997, “Particle Modeling,” Birkhäuser.