Mathematical Physics - Volume II - Numerical Methods

279

BIBLIOGRAPHY

[89] Karihaloo, B.L., Shao, P.F., Xiao, Q.Z., 2003, “Lattice modelling of the failure of particle composites,” Eng. Fract. Mech., 70, 2385–2406. [90] Wang, G., Al-Ostaz, A., Cheng, A.H.-D., Mantena, P.R., 2009a, “Hybrid lattice particle modeling: Theoretical considerations for a 2D elastic spring network for dynamic fracture simulations,” Comput. Mater. Sci., 44, 1126–1134. [91] Kale, S., Ostoja-Starzewski, M., 2015, „Lattice and Particle Modelling of Damage Phenomena;” in Handbook of Damage Mechanics: Nano to Macro Scale for Mate rials and Structures, Ed. Voyiadjis G., Springer Science+Business Media, New York (DOI 10.1007/978-1-4614-5589-9-23, ISBN 978-1-4614-5588-2), 203-238. [92] Cosserat, E., Cosserat, F., 1909, “Théorie des corps déformables. Herman, Paris, 1909. [93] Schlangen, E., Garboczi, E.J., 1996, “New method for simulating fracture using an elastically uniform random geometry lattice,” Int. J. Eng. Science, 34, 1131–1144. [94] Schlangen, E., Garboczi, E.J., 1997, “Fracture simulations of concrete using lattice models: computational aspects,” Engng. Fract. Mech., 57, 319–332. [95] Lilliu, G., van Mier, J.G.M., 2003, “3D lattice type fracture model for concrete,” Engng. Fract. Mech., 70, 927–941. [96] Liu, J.X., Deng, S.C., Zhang, J., Liang, N.G., 2007, “Lattice type of fracture model for concrete”, Theor. Appl. Fract. Mech., 48, 269–284. [97] Nikolic´, M., Karavelic´, E., Ibrahimbegovic, A., Mišcˇevic´ P.,2018,"Lattice Element Models and Their Peculiarities," Arch. Computat. Methods Eng., 25, 753–784. [98] Jing, L.; Stephansson, O., 2008, “Fundamentals of discrete element methods for rock engineering: Theory and applications,” Elsevier, Amsterdam. [99] Cundall, P.A., 1971, “A computer model for simulating progressive large scale movements in blocky rock systems,” In: Proceedings of the Symposium of In ternational Society of Rock Mechanics, Vol. 1, Nancy: France; 1971. Paper No. II-8. [100] Cundall, P.A., Strack, O.D.L., 1979, “A discrete numerical model for granular assemblies,” Geotechnique, 29(1), 47–65. [101] Munjiza, A.A., Knight, E.E., Rougier, E., "Computational Mechanics of Discon tiunua," John Wiley & Sons, UK. [102] Cundall, P.A., Hart, R., 1992, “Numerical modeling of discontinua,” J. Eng. Comp., 9, 101–113. [103] Van Baars, S., 1996, “Discrete element modelling of granular materials,” Heron. [104] Li, B., Pandolfi, A., Ravichandran, G., Ortiz, M., 2015, “Material-point erosion simulation of dynamic fragmentation of metals,” Mech. Mater., 80, 288–297. [105] Kruyt, N.P., Rothenburg, L., 2001, “Statistics of the elastic behavior of granular materials,” Int. J. Solids Struct., 38, 4879-4899.