By Khin-yong Lam, Heow Pueh Lee

ISBN-10: 9812563636

ISBN-13: 9789812563637

The purpose of this ebook is to: current a scientific account of modern advancements within the balance conception by way of specific measures; describe the present cutting-edge; convey the basic solidarity accomplished via wealth of purposes; and supply a unified common constitution appropriate to a number of nonlinear difficulties. This ebook is devoted to a scientific improvement of balance standards by way of measures. It demonstrates the manifestations of normal Lyapunov technique when it comes to measures via exhibiting how this powerful strategy may be tailored to check a variety of it seems that different nonlinear difficulties and indicates how, within the current framework of 2 measures, you may unify standards of Lyapunov balance, functional balance and boundedness houses. attention-grabbing purposes of actual international difficulties are supplied # tools of Multiscale Modeling in Mechanics (W A Curtin) # effective and exact Boundary equipment for Computational Optics (C Hafner & J Smajic) # Finite point Modeling of Periodic buildings (Z Lou & J-M Jin) # Factorization of strength and box Distributions with no using the Addition Theorem (A-R Baghi-Wadji & E Li) # Virtualization-Aware software Framework for Hierarchical Multiscale Simulations on a Grid (A Nakano et al.) # Molecular Dynamics Simulation and native amounts (T Ikeshoji) # fresh Advances in Modeling and Simulation of High-Speed Interconnects (M Nakhla & R Achar) # Multiscale Modeling of deterioration and Failure of Interconnect strains pushed through Electromigration and rigidity Gradients (R Atkinson & A M Cuitino)

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O'day and W. A. Curtin, to appear in J. Appl. Mech. (2004). 52. A. Benzerga, Y. Brechet, A. Needleman and E. Van der Giessen, Mod. Sim. Mat. Sci. , 12,159-196(2004). 53. B. Tadmor, M. Ortixz, and R. Phillips, Phil. Mag. A 73, 1529 (1996). 54. B. Shenoy, R. B. Tadmor, and M. Ortiz, Phys. Rev. Lett. B. Shenoy, R. E. Miller, R. Phillips, and M. Ortiz, J. Mech. Phys. Sol. 47, 611 (1998). 55. R. B. Tadmor, D. Rodney, R. Phillips, and M. Ortiz, Mod. Sim. Mat. Sci. Eng. 6,607(1998). Methods of Multiscale Modeling in Mechanics 55 56.

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E. Shilkrot, R. E. Miller, and W. A. Curtin, Phys. Rev. Lett. 89, 025501-1 (2002). 70. E. Shilkrot, W. A. Curtin, and R. E. Miller, J. Mech. Phys. Sol. 50, 2085 (2002). 71. R. E. Miller, L. E. Shilkrot, and W. A. Curtin, Acta Mater. 52,271 (2004). 72. W. Cai, M. V. Bulatov, and S. Yip, Phys. Rev. Lett. 85, 2312 (2000). 73. N. E and Z. Y. Huang, Phys. Rev. Lett. 87, 135501 (2001). 74. G. J. Wagner and W. K. Liu, J. Comp. Phys. 190, 249 (2003). 75. L. Dupuy, E. Tadmor, R. E. Miller, and R. Phillips, subm.

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