Yu Huang

This book provides a new design and evaluation framework based on slope Stochastic Dynamics theory to probabilistic seismic performance for slope engineering. For the seismic dynamic stability safety of slope, it shifts from deterministic seismic dynamic analysis to quantitative analysis based on nonlinear stochastic dynamics, that is, from qualitative to the description of stochasticity of earthquake excitation that meet the needs in related design specification and establish a performance standard. In the nonlinear dynamic time history analysis of slope subjected to seismic ground motion, the term “randomness” is used to express the uncertainty in the intensity and frequency of earthquake excitation for slope engineering dynamic seismic performance. It mainly includes seismic design fortification standard, corresponding ground motion excitation, performance index threshold, and slope deterministic nonlinear seismic dynamic response. Even more than that, the seismic dynamic large deformation approaches of the whole process and comprehensive analysis for flow analysis after slope instability failure. Eventually, the probabilistic seismic dynamic performance of the slope engineering will be characterized by nonlinear dynamic reliability.

This book provides a new framework for analysis of slope nonlinear stochastic seismic dynamic response based on the new theoretical tool of stochastic dynamics. The coupling effects of uncertainty of geological parameters, strong dynamic nonlinearity, and randomness of ground motion are considered in the process of the seismic dynamic stability assessment of slope. In this book, an intensity frequency non-stationary stochastic ground motion model based on time-domain stochastic process description is preliminarily established to characterize the randomness of earthquakes. The spatial distribution random field model of geotechnical parameters is established to describe the time-space variability of geotechnical parameters. Based on the basic theory of stochastic dynamics, the seismic stability performance evaluation method of slope is established. The slope seismic dynamic model test based on large complex shaking table is performed to verify and modify the proposed framework and method. This book sheds new light on the development of nonlinear seismic stochastic dynamics and seismic design of slope engineering.

This book provides a new framework for analysis of slope nonlinear stochastic seismic dynamic response based on the new theoretical tool of stochastic dynamics. The coupling effects of uncertainty of geological parameters, strong dynamic nonlinearity, and randomness of ground motion are considered in the process of the seismic dynamic stability assessment of slope. In this book, an intensity frequency non-stationary stochastic ground motion model based on time-domain stochastic process description is preliminarily established to characterize the randomness of earthquakes. The spatial distribution random field model of geotechnical parameters is established to describe the time-space variability of geotechnical parameters. Based on the basic theory of stochastic dynamics, the seismic stability performance evaluation method of slope is established. The slope seismic dynamic model test based on large complex shaking table is performed to verify and modify the proposed framework and method. This book sheds new light on the development of nonlinear seismic stochastic dynamics and seismic design of slope engineering.

This book was developed from lecture notes for an introductory graduate course and provides an essential introduction to chaotic maps in finite-dimensional spaces. Furthermore, the authors show how to apply this theory to infinite-dimensional systems corresponding to partial differential equations to study chaotic vibration of the wave equation subject to various types of nonlinear boundary conditions. The book provides background on chaos as a highly interesting nonlinear phenomenon and explains why it is one of the most important scientific findings of the past three decades. In addition, the book covers key topics including one-dimensional dynamical systems, bifurcations, general topological, symbolic dynamical systems, and fractals. The authors also show a class of infinite-dimensional nonlinear dynamical systems, which are reducible to interval maps, plus rapid fluctuations of chaotic maps. This second edition includes updated and expanded chapters as well as additional problems.

This book provides a new design and evaluation framework based on slope Stochastic Dynamics theory to probabilistic seismic performance for slope engineering. For the seismic dynamic stability safety of slope, it shifts from deterministic seismic dynamic analysis to quantitative analysis based on nonlinear stochastic dynamics, that is, from qualitative to the description of stochasticity of earthquake excitation that meet the needs in related design specification and establish a performance standard. In the nonlinear dynamic time history analysis of slope subjected to seismic ground motion, the term “randomness” is used to express the uncertainty in the intensity and frequency of earthquake excitation for slope engineering dynamic seismic performance. It mainly includes seismic design fortification standard, corresponding ground motion excitation, performance index threshold, and slope deterministic nonlinear seismic dynamic response. Even more than that, the seismic dynamic large deformation approaches of the whole process and comprehensive analysis for flow analysis after slope instability failure. Eventually, the probabilistic seismic dynamic performance of the slope engineering will be characterized by nonlinear dynamic reliability.

This book explains in an easy-to-understand manner the “check” points to keep in mind when inspecting various social infrastructure structures. It is put together in a way that not only engineers who are on the front line of maintenance and management but also engineers who are not normally involved in maintenance and management of social infrastructures as well as general public can understand the importance of social infrastructure inspection work.

This book explains in an easy-to-understand manner the “check” points to keep in mind when inspecting various social infrastructure structures. It is put together in a way that not only engineers who are on the front line of maintenance and management but also engineers who are not normally involved in maintenance and management of social infrastructures as well as general public can understand the importance of social infrastructure inspection work.

This book details the theory and applications of finite element (FE) modeling of post-tensioned (PT) concrete structures, and provides the updated MATLAB code (as of 2019). The challenge of modeling PT prestressed concrete structures lies in the treatment of the interface between the concrete and prestressing tendons. Using MATLAB, this study develops an innovative nonlinear FE formulation which incorporates contact techniques and engineering elements to considerably reduce the need of computational power. This FE formulation has the ability to simulate different PT frame systems with fully bonded, fully unbonded or partially bonded tendons, as well as actual sliding behavior and frictional effects in the tendons. It also allows for the accurate simulation of anchor seating loss.

This book presents comprehensive hazard analysis methods for seismic soil liquefaction, providing an update on soil liquefaction by systematically reviewing the phenomenon’s occurrence since the beginning of this century. It also puts forward a range of advanced research methods including in-situ tests, laboratory studies, physical model tests, numerical simulation, and performance-based assessment. Recent seismic liquefaction-related damage to soils and foundations demonstrate the increasing need for the comprehensive hazard analysis of seismic soil liquefaction in order to mitigate this damage and protect human lives. As such the book addresses the comprehensive hazard analysis of seismic soil liquefaction, including factors such as macroscopic characteristics, evaluating the liquefaction potential, dynamic characteristics and deformation processes, providing reliable evaluation results for liquefaction potential and deformation in the context of risk assessment.

This book presents comprehensive hazard analysis methods for seismic soil liquefaction, providing an update on soil liquefaction by systematically reviewing the phenomenon’s occurrence since the beginning of this century. It also puts forward a range of advanced research methods including in-situ tests, laboratory studies, physical model tests, numerical simulation, and performance-based assessment. Recent seismic liquefaction-related damage to soils and foundations demonstrate the increasing need for the comprehensive hazard analysis of seismic soil liquefaction in order to mitigate this damage and protect human lives. As such the book addresses the comprehensive hazard analysis of seismic soil liquefaction, including factors such as macroscopic characteristics, evaluating the liquefaction potential, dynamic characteristics and deformation processes, providing reliable evaluation results for liquefaction potential and deformation in the context of risk assessment.

Through application of the Smoothed Particle Hydrodynamics (SPH) method, this monograph mainly focuses on large deformations and flow failure simulations of geomaterials and movement behavior, which are always involved in geo-disasters. The work covers the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications. Two-dimensional and three-dimensional SPH models in the framework of both hydrodynamics and solid mechanics are established, with detailed descriptions. The monograph also contains many appealing and practical examples of geo-disaster modeling and analysis, including the fluidized movement of flow-like landslides, lateral spread of liquefied soils, and flow slides in landfills. In the documented SPH simulations, the propagation of geo-disasters is effectively reproduced. Dynamic behaviors of geomaterials during propagation are ascertained, including sliding path, flow velocity, maximum distance reached, and distribution of deposits. In this way, the monograph presents a means for mapping hazardous areas, estimating hazard intensity, and identifying and designing appropriate protective measures.

Through application of the Smoothed Particle Hydrodynamics (SPH) method, this monograph mainly focuses on large deformations and flow failure simulations of geomaterials and movement behavior, which are always involved in geo-disasters. The work covers the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications. Two-dimensional and three-dimensional SPH models in the framework of both hydrodynamics and solid mechanics are established, with detailed descriptions. The monograph also contains many appealing and practical examples of geo-disaster modeling and analysis, including the fluidized movement of flow-like landslides, lateral spread of liquefied soils, and flow slides in landfills. In the documented SPH simulations, the propagation of geo-disasters is effectively reproduced. Dynamic behaviors of geomaterials during propagation are ascertained, including sliding path, flow velocity, maximum distance reached, and distribution of deposits. In this way, the monograph presents a means for mapping hazardous areas, estimating hazard intensity, and identifying and designing appropriate protective measures.

This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years. Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations. Table of Contents: Simple Interval Maps and Their Iterations / Total Variations of Iterates of Maps / Ordering among Periods: The Sharkovski Theorem / Bifurcation Theorems for Maps / Homoclinicity. Lyapunoff Exponents / Symbolic Dynamics, Conjugacy and Shift Invariant Sets / The Smale Horseshoe / Fractals / Rapid Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations