This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of ...fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamics process. This is followed by vortex dynamics dealing with the motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, translational, and turbulent flows, including stratified and rotational fluids. In another chapter vortical flow management is presented, such as diagnostics and control. Physical understanding of vortical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices.
This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields. These include civil engineering, car design, aeronautics, metal ...forming, or biomechanics. For this second edition, illustrative simplified examples and new discretisation schemes and adaptive procedures for coupled problems are added. This book is at the cutting edge of an area of significant and growing interest in computational mechanics.
This book serves as an introductory text to optimization theory in normed spaces. Topics of this book are existence results, various differentiability notions together with optimality conditions, the ...contingent cone, a generalization of the Lagrange multiplier rule, duality theory, extended semidefinite optimization, and the investigation of linear quadratic and time minimal control problems. This textbook presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.
For engineers, finite element methods have become important tools for design and optimization, even for solving nonlinear technological problems. This book provides the knowledge needed for finite ...element analysis in solid mechanics.
Here is a hands-on treatment of the subject of optimization, recommended for use by industry professionals, scientists, and students interested in optimization algorithms and their various ...applications. It provides a complete teaching package with MATLAB exercises and online solutions to end-of-chapter problems.
Micromechanics provides a link between the structure and the properties at different scales of observation. This book deals with micromechanical analysis of interfaces and interface layers and ...presents several modelling tools, ranging from the rigorous method of asymptotic expansions to practical finite element simulations, suitable for this class of problems. Two application areas are discussed. Boundary layers associated with contact of rough bodies are modelled by applying a scale transition approach in which a macroscopic interface of zero thickness is seen at the micro-scale as a layer with some finite thickness. Secondly, evolution of laminated microstructures accompanying stress-induced martensitic transformations in shape memory alloys (SMA) is analyzed as an illustration of the case when the local interfacial phenomena here the propagation of phase transformation fronts govern the macroscopic behaviour of a heterogeneous material. The corresponding two parts of the book are self-contained, so they can be read separately by those interested only in micromechanical modelling of contact phenomena or in modelling of pseudoelasticity and stress-induced martensitic microstructures in SMA single crystals.
The present book is based on a lecture which was held at the Humboldt-University Berlin. It is intended to serve as an introduction to the application of numerical methods to systems of granular ...particles. The book emphasizes a general understanding of the subject rather than the presentation of latest advances in numerical algorithms. In favor of a clear and intuitive presentation and to keep the algorithms short, at some places we have intentionally abstained from presenting highly optimized algorithms which contain all numerical tricks that belong to the state of the art. Frequently we refer to the literature for information on further optimization of the presented methods and algorithms.
Continuous System Simulation describes in detail how to build mathematical simulations of systems that change continuously over time. It covers:
- Numerical integration
- Simulation of stiff systems
...- Simulation of marginally stable systems
- Simulation of noisy systems
- Model validation techniques
- Simulation verification
- The inverse problem
- Dynamic nonlinear programming
- Simulation software
- Simulation hardware
Intended for advanced undergraduates in electrical, computer, mechanical, and civil engineering, it is a highly computer-oriented text, introducing numerical methods and algorithms along with the applications and conceptual tools. Homework problems, suggestions for research projects, and open-ended questions conclude each chapter.
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of ...micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems. Furthermore, solution algorithms for single- and multi-processor computing environments, enabling methods that span from multi-contact to multi-scale approaches are discussed together with numerical experiments related to soil mechanics using discontinuous deformation analysis.
As modern structures require more critical and complex designs, the need for accurate ways to assess uncertainties in loads, geometry, material properties, manufacturing processes and operational ...environments has increased. Reliability assessment techniques help to develop safe designs and identify where contributors of uncertainty occur in structural systems.This book provides readers with an understanding of the fundamentals and applications of structural reliability, stochastic finite element method, reliability analysis via stochastic expansion, and optimization under uncertainty. Probability theory, statistic methods, and reliability analysis methods are discussed. In addition, the use of stochastic expansions for the reliability analysis of practical engineering problems is also examined throught the use of examples of practical engineering applications.This book will be of value to graduates and post graduates studying in this field, as well as engineers, researchers, and technical managers.
