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The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: analysis of classical visco-plastic fluid modelsmathematical modeling of flows of visco-plastic fluidscomputing flows of visco-plastic fluidsrheology of visco-plastic fluids and visco-plastic suspensionsapplication of visco-plastic fluids in engineering sciencescomplex flows of visco-plastic fluids.
This book provides a thorough overview of transport phenomena in complex fluids, based on the latest research results and the newest methods for their analytical prediction and numerical simulation.
Naturally, the coverage also includes fundamental notions of high-performance computing and advanced concepts on parallel computing, including their implementation in prospective hexascale computers.
This book conveys, in a self-contained manner, the fundamental concepts for classifying types of contact, the essential mathematical methods for the formulation of contact problems, and the numerical methods required for their solution.
Internal Waves and Tides in Stars and Giant Planets.- Waves & Convection in Stellar Astrophysics.- Internal Waves in the Atmosphere and Ocean: Instability Mechanisms.- Rotational Dynamics of Planetary Cores: Instabilities Driven by Precession, Libration and Tides.- Fluid Dynamics of Earth''s Core: Geodynamo, Inner Core Dynamics, Core Formation.- A Brief Introduction to Turbulence in Rotating and Stratified Fluids
The book explores the state of the art in the mechanics of fibrous media, providing an overview of the theoretical, modelling and practical aspects of designing and working with these materials.
The book presents an advanced but accessible overview of some of the most important sub-branches of magnetohydrodynamics (MHD): stability theory, magnetic topology, relaxation theory and magnetic reconnection.
This book highlights the latest innovations and applications in robotics, as presented by leading international researchers and engineers at the ROMANSY 2020, the 23rd CISM IFToMM Symposium on Theory and Practice of Robots and Manipulators.
The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling.
This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background.
This book provides a thorough overview of transport phenomena in complex fluids, based on the latest research results and the newest methods for their analytical prediction and numerical simulation.
The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations;
Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing.
This book highlights the latest innovations and applications in robotics, as presented by leading international researchers and engineers at the ROMANSY 2020, the 23rd CISM IFToMM Symposium on Theory and Practice of Robots and Manipulators.
The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict.The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
This book examines the fundamentals of vehicle dynamics, as well as the recent trends in the field, such as torque vectoring control, vehicle state estimation, and autonomous vehicles.
This course with 6 lecturers intends to present a systematic survey of recent re- search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con- tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan- tities of interest-in comparison with global error estimates-based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider- ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat- ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in- sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.
This is the first book which exploits concepts and tools of global nonlinear dynamics for bridging the gap between theoretical and practical stability of systems/structures, and for possibly enhancing the engineering design in macro-, micro- and nano-mechanics. Addressed topics include complementing theoretical and practical stability to achieve load carrying capacity; dynamical integrity for analyzing global dynamics, for interpreting/predicting experimental behavior, for getting hints towards engineering design; techniques for control of chaos; response of uncontrolled and controlled system/models in applied mechanics and structural dynamics by also considerung the effect of system imperfections; from relatively simple systems to multidimensional models representative of real world applications; potential and expected impact of global dynamics for engineering design.
The volume collects the contributions presented at the second meeting on Unilateral Problems, organized by CISM and held near Udine in June 1985. It gives an updated account of the state-of-the-art in the field of unilateral problems, with an outlook on open problems and on perspectives of application to structural analysis. The topic is presently the object of growing interest and is undergoing very rapid development. One of the most noticeable characteristics of unilateral problems is their interdisciplinary nature; they involve sophisticated mathematics, fundamental questions in mechanics, modern techniques in numerical analysis, re-inspection of the present knowledge of physical phenomena, and engineering applications. This volume succeeds in collecting and coordinating contributions from all these areas. For this reason, it is an excellent source of information for researchers working in the field.
The solution of stress analysis problems through numerical, computer oriented techniques is becoming more and more popular in soil and rock engineering. This is due to the ability of these methods to handle geometrically complex problems even in the presence of highly nonlinear material behaviour, characterizing the majority of soils and rocks, and of media consisting of two or more phases, like saturated and partially saturated soils. Aim of this book is to present to researchers and engineers working in the various branches of geomechanics an updated state of the research on the development and application of numerical methods in geotechnical and foundation engineering. Particular attention is devoted to the formulation of nonlinear material models and to their use for the analysis of complex engineering problems. In addition to the constitutive modelling, other topics discussed concern the use of the finite element and boundary element methods in geomechanics; the dynamic analysis of inelastic and saturated soils; the solution of seepage, consolidation and coupled problems; the analysis of soil-structure interaction problems; the numerical procedures for the interpretation of field measurements; the analysis of tunnels and underground openings.
The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.
This book presents, as a single package, three semingly contradictory and often competitive approaches to deal with ever present uncertainty in science and engineering. The book describes, as a unique view, probabilistic, fuzzy sets based and antioptimization based approaches, in order to remedy the present "e;tower ob Babel"e; situation, in which researchers in competing fields do not communicate. Integrative approach will attract scientists and engineers alike and provide a strong impetus towards integrative, hybrid approaches.
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