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This book reviews the most common state-of-the art methods for substructuring and model reduction and presents a framework that encompasses most method, highlighting their similarities and differences.
The book presents an overview of the state of research of advanced finite element technologies. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods.
This book focuses on turbulent flows generated and/or influenced by multiscale/fractal structures. It consists of six chapters which demonstrate, each one in its own way, how such structures and objects can be used to design bespoke turbulence for particular applications and also how they can be used for fundamental studies of turbulent flows.
However, since contact can readily be interpreted as a special type of interface problem, it seems advisable not to isolate contact mechanics, but rather to address it in the context of a broader class of problems denoted as computational interface mechanics.
However, since contact can readily be interpreted as a special type of interface problem, it seems advisable not to isolate contact mechanics, but rather to address it in the context of a broader class of problems denoted as computational interface mechanics.
Deployable structures can vary their shape automatically from a compact, packaged configuration to an expanded, operational configuration. Three main themes are discussed in this book: concepts, working principles, and mechanics of deployable structures, both in engineering and biology;
In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed.
This book focuses on turbulent flows generated and/or influenced by multiscale/fractal structures. It consists of six chapters which demonstrate, each one in its own way, how such structures and objects can be used to design bespoke turbulence for particular applications and also how they can be used for fundamental studies of turbulent flows.
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.
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.
The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:¿ comprehensive review of the most popular theories of plates and shells,¿ relations between three-dimensional theories and two-dimensional ones,¿ presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),¿ modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,¿ applications in modeling of non-classical objects like, for example, nanostructures,¿ presentation of actual numerical tools based on the finite element approach.
A motivation for structural health monitoring. Vibration-based damage diagnosis and monitoring of external loads.Statistical time series methods for vibration based structural health monitoring.
The book presents state-of-the-art developments in multiscale modeling and latest experimental data on multiscale mechanobiology of bone remodeling and adaptation including fracture healing applications. The multiscale models include musculoskeletal models describing bone-muscle interactions during daily activities such as walking or running, micromechanical models for estimation of bone mechanical properties, bone remodeling and adaptation models, cellular models describing the complex bone-cell interactions taking into account biochemical and biomechanical regulatory factors.Also subcellular processes are covered including arrangement of actin filaments due to mechanical loading and change of receptor configurations.
The book is divided into two sections, "Geometries and Codes" and "Geometries and Cryptography". The first part covers such topics as Galois geometries, Steiner systems, Circle geometry and applications to algebraic coding theory.
Examines the nonlinear phenomena created when fractures develop in structural materials upon application of static, cyclic or dynamic external loads. The text recommends procedures for the manufacture of high performance materials with enhanced resistance to crack propagation.
This volume presents both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media. It details everything from basic concepts to the most promising recent engineering applications.
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