Cheung Ping. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaf 170). / Text in English; abstract also in Chinese. / Cheung Ping. / Acknowledgements --- p.i / Abstract --- p.ii / Chapter 1 --- Introduction --- p.1 / Chapter Part I : --- Effective Parameters for Wave Mixing Phenomenon in Random Nonlinear Composites --- p.7 / Chapter 2 --- General Three Waves Mixing --- p.7 / Chapter 2.1 --- "Defining the nonlinear effects, basic equations" --- p.8 / Chapter 2.2 --- Defining the effective response --- p.12 / Chapter 2.3 --- Formalism --- p.13 / Chapter 2.4 --- Discussion --- p.19 / Chapter 3 --- Effective medium approximation for three wave mixing --- p.21 / Chapter 3.1 --- Decoupling methods --- p.21 / Chapter 3.2 --- Effective medium approximation (EMA) --- p.22 / Chapter 4 --- Second Harmonic Generation --- p.26 / Chapter 4.1 --- Simple EMA vs Modified EMA --- p.26 / Chapter 4.2 --- Dilute limit formula for second harmonic generation --- p.28 / Chapter 4.3 --- Composite of two non-linear components --- p.33 / Chapter 5 --- Numerical Model and Computer Simulations --- p.35 / Chapter 5.1 --- Model --- p.35 / Chapter 5.2 --- Direct Simulation --- p.37 / Chapter 5.3 --- Voltage Summation Method(VSM) --- p.40 / Chapter 5.4 --- Simulation parameters --- p.41 / Chapter 5.4.1 --- Dielectric Composite --- p.41 / Chapter 5.4.2 --- Metal-Insulator Composite --- p.42 / Chapter 5.5 --- Simulation results and discussion --- p.42 / Chapter 5.5.1 --- Linear case --- p.42 / Chapter 5.5.2 --- Second harmonic generation --- p.44 / Chapter 6 --- Concentration ratio and geometry effect of composite --- p.49 / Chapter 6.1 --- Percolation effect and critical exponents for SHG --- p.49 / Chapter 6.1.1 --- Insulator-normal conductor system --- p.50 / Chapter 6.1.2 --- Superconductor-normal conductor system --- p.53 / Chapter 6.2 --- Enhancement of second order susceptibility --- p.54 / Chapter 6.2.1 --- Simple EMA --- p.55 / Chapter 6.2.2 --- Modified EMA --- p.56 / Chapter 7 --- General Four Waves Mixing --- p.58 / Chapter 7.1 --- Terminology --- p.59 / Chapter 7.2 --- Defining the effective response --- p.61 / Chapter 7.3 --- Theory of general four wave mixing --- p.62 / Chapter 8 --- Third Harmonic Generation --- p.69 / Chapter 9 --- Computer Simulations on Third Harmonic Generation --- p.72 / Chapter 9.1 --- Voltage Summation Method (VSM) for THG --- p.73 / Chapter 9.2 --- Simulation parameters --- p.74 / Chapter 9.2.1 --- Dielectric Composite --- p.74 / Chapter 9.2.2 --- Metal-Insulator Composite --- p.74 / Chapter 9.3 --- Simulation results and discussion --- p.75 / Chapter 9.3.1 --- Dielectric composite --- p.75 / Chapter 9.3.2 --- Intrinsic third order susceptibility only --- p.75 / Chapter 10 --- Applications --- p.79 / Chapter 10.1 --- Coated sphere problem --- p.79 / Chapter 10.1.1 --- Model Composite --- p.79 / Chapter 10.1.2 --- Local field ratio --- p.81 / Chapter 10.1.3 --- Calculation of Ee --- p.84 / Chapter 10.1.4 --- The effective non-linear response --- p.86 / Chapter 10.2 --- Ferroelectric Composite --- p.91 / Chapter 11 --- Conclusions --- p.96 / Chapter Part II : --- Other Related Topics In Inhomogeneous Sys- tems --- p.99 / Chapter 12 --- Modified EMA for Kerr effect non-linear composite --- p.99 / Chapter 12.1 --- Theory --- p.99 / Chapter 12.2 --- Discussion --- p.101 / Chapter 12.3 --- Numeric Simulations --- p.102 / Chapter 12.4 --- Conclusion --- p.103 / Chapter 13 --- Clustering Effects in Nonlinear Random Composites --- p.104 / Chapter 13.1 --- Clustering in Binary composites of Strongly Nonlinear Conductors --- p.105 / Chapter 13.1.1 --- Computer simulation model on clustering effects --- p.105 / Chapter 13.1.2 --- DEMA --- p.107 / Chapter 13.1.3 --- DEMA applied to deterministic fractals --- p.109 / Chapter 13.1.4 --- DEMA applied to DLCA clusters --- p.111 / Chapter 13.2 --- Clustering Effects for Second Harmonic Generation --- p.115 / Chapter 14 --- Supercell band structure calculation of inhomogeneous media --- p.117 / Chapter 14.1 --- Electronic structure of porous silicon and germanium --- p.117 / Chapter 14.1.1 --- Porous Silicon --- p.119 / Chapter 14.1.2 --- Porous Germanium --- p.122 / Chapter 14.2 --- Band gap investigation of Si-C alloys --- p.122 / Chapter 14.3 --- Future work --- p.123 / Chapter 15 --- Dice games and Markov Processes --- p.125 / Chapter 16 --- Bar attendance problem --- p.133 / Chapter 16.1 --- Bar-attendance model --- p.133 / Chapter 16.2 --- Time series analysis --- p.134 / Chapter 16.3 --- Distribution of attendance and volatility --- p.137 / Chapter 16.4 --- Performance index --- p.139 / Chapter Part III : --- Appendices --- p.145 / A --- p.145 / B --- p.155

by Woo Yick Fai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 188-191). / by Woo Yick Fai. / Chapter i. --- Abstract --- p.i / Chapter ii. --- Acknowledgment --- p.ii / Chapter 0. --- Introduction --- p.1 / Chapter 1. --- Effects of nonlinear impurity in a diatomic chain --- p.3 / Chapter 1.1 --- Introduction --- p.3 / Chapter 1.2 --- Formulation --- p.9 / Chapter 1.3 --- Results --- p.16 / Chapter 1.4 --- Discussion --- p.28 / Chapter 2. --- Single nonlinear impurity in a diatomic plane --- p.30 / Chapter 2.1 --- Introduction --- p.30 / Chapter 2.2 --- Formulation --- p.34 / Chapter 2.3 --- Results --- p.39 / Chapter 2.4 --- Discussion --- p.43 / Chapter 3. --- Effects of a nonlinear impurity in a diatomic cube --- p.46 / Chapter 3.1 --- Introduction --- p.46 / Chapter 3.2 --- Formulation --- p.50 / Chapter 3.3 --- Results --- p.54 / Chapter 3.4 --- Discussion --- p.58 / Chapter 4. --- Effective response in random mixtures of linear and nonlinear conductors --- p.60 / Chapter 4.1 --- Introduction --- p.60 / Chapter 4.2 --- Formalism of our proposed theory --- p.67 / Chapter 4.3 --- Results --- p.68 / Chapter 4.4 --- Effective response in random mixture of strongly nonlinear composites --- p.74 / Chapter 5. --- 1D traffic models --- p.77 / Chapter 5.1 --- Introduction to Cellular Automata models for traffic flow --- p.77 / Chapter 5.2 --- Inhomogeneous 1D traffic models --- p.89 / Chapter 6. --- 2D traffic models --- p.102 / Chapter 6.1 --- Isotropic traffic systems --- p.102 / Chapter 6.2 --- Anisotropic traffic systems --- p.117 / Chapter 7. --- Inhomogeneities in the 2D traffic models --- p.127 / Chapter 7.1 --- Systems with faulty traffic lights --- p.127 / Chapter 7.2 --- Systems with over-passes --- p.144 / Chapter 7.3 --- Traffic models with two-time scales --- p.154 / Chapter 7.4 --- Traffic models with acceleration --- p.159 / Appendix --- p.164 / Appendix A Effects of a nonlinear impurity in a diatomic chain --- p.165 / Appendix B Effective response in random mixtures of linear and nonlinear conductors --- p.175 / Appendix C Upper bounds for the critical car densities in traffic flow problems --- p.180 / Appendix D Improved mean-field theory of two-dimensional traffic flow models --- p.183 / Bibliography --- p.188

In mining and mineral processing, compressive loading is often encountered during the comminution of ore bearing minerals and in the wear resistant materials used in the comminution circuit. A common thread joining many of the materials that are primarily used under compressive loading is the presence of a high modulus reinforcement, either fiber or particulate, embedded within a lower modulus matrix phase (i.e., a brittle heterogeneous material). Many of these heterogeneous materials are designed or manufactured such that an imperfect interface (i.e., an interface that provides less than complete coherency between the reinforcing phase and the matrix) exists between the reinforcing phase and the matrix (e.g., tough fiber-reinforced ceramics). To date, most research has focused on the response of these heterogeneous materials with imperfect interfaces to tensile loading; however, little is known about their response to compressive loading. The principal objective of this investigation is to develop a better understanding of the micromechanical behavior of these complex materials under compressive loading. Analytical solutions are reviewed and compared with finite element models for the simulation of heterogeneous materials with imperfect interfaces under compressive loading. This comparison shows that a nonlinear numerical approach (finite element method) is necessary to fully simulate the behavior of these materials. To validate the nonlinear model, laser moire experiments were conducted on a model heterogeneous material loaded under uniaxial and biaxial compression. In-plane displacements were measured and found to be in fundamental agreement with the nonlinear finite element model. Subsequently, finite element simulations were developed for a variety of heterogeneous materials with imperfect interfaces. Results show that deleterious tensile stress concentrations are primarily influenced by three factors: (i) the nature of the imperfect interface, (ii) the moduli mismatch between the reinforcement and matrix, and (iii) the volume fraction of the reinforcement. Finally, crack initiation experiments in laboratory models of a heterogeneous material with a frictional imperfect interface were conducted to substantiate the prior work using nonlinear finite element models. Experimental results correlate well with the numerically-predicted micromechanical behavior of a model heterogeneous system under uniaxial compressive loading. / Graduation date: 1994

Thesis (Ph.D.)--University of Nebraska-Lincoln, 2006. / Title from title screen (site viewed on Mar. 13, 2007). PDF text: xxi, 171, p. : col. ill. UMI publication number: AAT 3225793. Includes bibliographical references. Also available in microfilm and microfiche format.

No description available.

Thesis (Ph.D.)--McMaster University, 2003. / Advisor: D. S. Wilkinson. Includes bibliographical references (leaves 227-232). Also available via World Wide Web.

Thesis (Ph. D.)--University of Adelaide, Dept. of Applied Mathematics, 1992. / Includes bibliographical references (leaves 179-186).

Thesis (Ph. D.)--Lehigh University, 1997. / Includes vita. Includes bibliographical references (leaves 207-216).

Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 29-30). Also available in electronic version.

No description available.