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Book
Introduction to the Thermomechanics of Continua and Hyperbolic Systems
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ISBN: 9783031699511 3031699513 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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The primary aim of this book is to present a unified treatment of the thermomechanics of continua using the axiomatic approach typical of rational mechanics. While many books on continuum mechanics focus on specific types of continuous bodies, such as deformable solid bodies or fluids, this book adopts a general perspective. It presents the mathematical structure of balance laws and constitutive equations as a cohesive whole, with special attention given to the modern theory of constitutive equations. Notable principles such as the principle of material indifference and the contemporary interpretation of the principle of entropy are emphasized. This book will be beneficial not only to engineering students but also to students from other scientific disciplines where aspects of continuum mechanics are studied. It provides an opportunity to view traditionally distinct topics in a broader, interconnected context. To ensure self-consistency, the first part of the book addresses issues related to linear algebra, with a particular focus on linear operators within finite-dimensional vector spaces. The book then offers a detailed exploration of finite deformations of continua, followed by an overview of kinematics. It characterizes the various forces that can exist in a continuum, introduces the stress tensor, and presents the balance laws in both Eulerian and Lagrangian forms. Next, the modern theory of constitutive equations is defined, emphasizing the role of the general principles of material indifference and entropy as criteria for selecting physically acceptable classes of constitutive equations. The resulting field equations are specialized for various cases, including thermoelasticity, Eulerian fluids, Fourier-Navier‒Stokes fluids, and rigid heat conductors. In the final part of the book, partial differential equations in continuum mechanics are discussed, with particular attention given to hyperbolic systems. The method of characteristics is introduced in both linear and nonlinear cases, and the need to expand the class of solutions by introducing weak solutions is discussed, with shock waves being a significant case. As an illustrative example of a weak solution, the Riemann problem is presented for the fluid dynamic model of vehicular traffic, where cars are initially stopped at a red light and then start moving when the light turns green.


Book
Virtual Element Methods in Engineering Sciences
Authors: --- ---
ISBN: 3031392558 Year: 2024 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This book provides a comprehensive treatment of the virtual element method (VEM) for engineering applications, focusing on its application in solid mechanics. Starting with a continuum mechanics background, the book establishes the necessary foundation for understanding the subsequent chapters. It then delves into the VEM's Ansatz functions and projection techniques, both for solids and the Poisson equation, which are fundamental to the method. The book explores the virtual element formulation for elasticity problems, offering insights into its advantages and capabilities. Moving beyond elasticity, the VEM is extended to problems in dynamics, enabling the analysis of dynamic systems with accuracy and efficiency. The book also covers the virtual element formulation for finite plasticity, providing a framework for simulating the behavior of materials undergoing plastic deformation. Furthermore, the VEM is applied to thermo-mechanical problems, where it allows for the investigation of coupled thermal and mechanical effects. The book dedicates a significant portion to the virtual elements for fracture processes, presenting techniques to model and analyze fractures in engineering structures. It also addresses contact problems, showcasing the VEM's effectiveness in dealing with contact phenomena. The virtual element method's versatility is further demonstrated through its application in homogenization, offering a means to understand the effective behavior of composite materials and heterogeneous structures. Finally, the book concludes with the virtual elements for beams and plates, exploring their application in these specific structural elements. Throughout the book, the authors emphasize the advantages of the virtual element method over traditional finite element discretization schemes, highlighting its accuracy, flexibility, and computational efficiency in various engineering contexts.


Book
Topological Methods for Delay and Ordinary Differential Equations : With Applications to Continuum Mechanics
Authors: ---
ISBN: 3031613376 Year: 2024 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics. Chapters, written by internationally recognized researchers in the field, present results on problems of existence, multiplicity localization, bifurcation of solutions, and more. Topological methods are used throughout, including degree theory, fixed point index theory, and classical and recent fixed point theorems. A wide variety of applications to continuum mechanics are provided as well, such as chemostats, non-Newtonian fluid flow, and flows in phase space. Topological Methods for Delay and Ordinary Differential Equations will be a valuable resource for researchers interested in differential equations, functional analysis, topology, and the applied sciences.


Book
Concrete Reinforcement Degradation and Rehabilitation : Damages, Corrosion and Prevention
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ISBN: 9819959330 Year: 2024 Publisher: Singapore : Springer Nature Singapore : Imprint: Springer,

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This book provides an overview of various methods of concrete reinforcement against corrosion. It consists of chapters, discussing reinforced concrete, concrete damages, causes of damages, protection, concrete maintenance, principles of corrosion, and how to conduct experiments to obtain reinforced concrete data. This book contributes to the infrastructure industry and is useful for the wider community to add insight into the field of corrosion and material damage. Reinforced concrete is a construction material that combines concrete and steel reinforcement. Thus, studying corrosion is useful for knowing when a material will break down and what will happen to the metal now and in the future. Knowing the corrosion process will prevent sudden damage, so it can provide early preparation. For this reason, knowledge is needed on how to check for damage to concrete, the process of corrosion mechanisms, corrosion prevention, methods for calculating corrosion rates, and how to maintain reinforced concrete so that it lasts longer. This book caters to researchers, administrators, academicians, policymakers, entrepreneurs, practitioners, instructors, and students who are looking to enrich their understanding of concrete reinforcement against corrosion.


Book
New Results in Numerical and Experimental Fluid Mechanics XIV : Contributions to the 23rd STAB/DGLR Symposium, Berlin, Germany, 2022
Authors: --- --- --- ---
ISBN: 3031404823 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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This book offers timely insights into research on numerical and experimental fluid mechanics and aerodynamics, mainly for (but not limited to) aerospace applications. It reports on findings by members of the Deutsche Strömungsmechanische Arbeitsgemeinschaft, STAB (German Aerodynamics/Fluid Mechanics Association) and the Deutsche Gesellschaft für Luft- und Raumfahrt - Lilienthal Oberth e.V., DGLR (German Society for Aeronautics and Astronautics) and covers both nationally and EC-funded projects. Continuing on the tradition of the previous volumes, the book highlights innovative solutions, promoting translation from fundamental research to industrial applications. It addresses academics and professionals in the field of aeronautics, astronautics, ground transportation, and energy alike.


Book
Lectures Notes on Advanced Structured Materials 2
Authors: --- --- --- ---
ISBN: 3031490436 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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The postgraduate seminar series on advanced structured materials is designed to facilitate teaching and informal discussion in a supportive and friendly environment. The seminar provides a forum for postgraduate students to present their research results and train their presentation and discussion skills. Furthermore, it allows for extensive discussion of current research being conducted in the wider area of advanced structured materials. Doing so, it builds a wider postgraduate community and offers networking opportunities for early career researchers. In addition to focused lectures, the seminar provides specialized teaching/overview lectures from experienced senior academics. The 2023 Postgraduate Seminar entitled “Advanced Structured Materials: Development - Manufacturing - Characterization – Applications” was held from 20th till 24th February 2023 in Barcelona. The presented postgraduate lectures had a strong focus on polymer mechanics, composite materials, and additive manufacturing.


Book
New Achievements in Mechanics : A Tribute to Klaus Peter Herrmann
Authors: --- ---
ISBN: 9783031561320 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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This book presents various solutions modeling in the performance and behavior of advanced materials and engineering structures. In this book, famous scientists in the field of materials mechanics share their knowledge in honor of the late Professor of Mechanics Klaus-Peter Herrmann from the University of Paderborn. This book discusses in particular topics like fracture and damage mechanics, numerical mathematics and computational simulations, and mechanics and thermodynamics of advanced materials.


Book
Magnetoelastic Vibrations and Stability of Magnetically Active Plates and Shells
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ISBN: 9783031603075 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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This book introduces the reader to methods of mathematical modeling and solving non-stationary (dynamic) problems of the theory of magnetoelasticity, as well as to give an idea of the wealth of physical effects caused by the interaction of electromagnetic and mechanical phenomena in magnetically active elastic thin bodies. The studies are mainly limited to a model of isotropic body under the assumption of small deformations. In the first chapter of the book, based on the basic connected nonlinear equations and relations of mechanics and quasi-static electrodynamics of continuum media, a system of equations of magnetoelasticity, surface conditions, and governing equations describing the behavior of disturbances in a magnetoactive medium interacting with an external magnetic field is obtained. On this basis, in Chapters 2 and 3, using the main equations and relations of magnetoelastic vibrations and stability of magnetically soft, thin plates and shells are obtained. By solving specific applied problems, a number of qualitative and quantitative results were identified, caused by the interaction of mechanical and magnetic phenomena in ferromagnetic thin bodies. An approximate formula is obtained to determine magnetohydrodynamic pressure on the oscillating surfaces of plate flowing by supersonic flow of perfectly conducting gas in the presence of magnetic field. This formula is the generalization of well-known formula obtained on the basis of the classical piston theory of gas dynamics in the case of magneto-gas-dynamic flow. On this basis, it became possible to solve complex problems of zero magnetoelasticity. In the 4th and 5th chapters magnetoelastic processes in superconducting thin shells located in stationary and non-stationary magnetic fields are studied. Two-dimensional equations and corresponding conditions are obtained, which characterize vibrations and stability of superconducting cylindrical and spherical shells under the influence of the given magnetic field. By solving specific problems, the possibility of loss of both static and dynamic stability of thin superconducting bodies under the influence of external magnetic field has been established. The sixth chapter is devoted to mathematical modeling and investigation of issues of dynamics of magnetostrictive plates in magnetic fields (stationary and non-stationary) of several orientations. To study the processes of magnetoelastic interaction in the plate under consideration with complex physical properties of its material, the main postulates of the classical theories and methods were used. The influence of plate in-homogeneity on the processes under consideration was also studied.


Book
Engineering Design Applications VI : Structures, Materials and Processes
Authors: ---
ISBN: 3031609204 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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This book gives an update on recent developments in the mentioned areas of modern engineering design application. Different engineering disciplines such as mechanical, materials, computer and process engineering provide the foundation for the design and development of improved structures, materials and processes. The modern design cycle is characterized by an interaction of different disciplines and a strong shift to computer-based approaches where only a few experiments are performed for verification purposes. A major driver for this development is the increased demand for cost reduction, which is also connected to environmental demands. In the transportation industry (e.g. automotive), this is connected with the demand for higher fuel efficiency, which is related to the operational costs and the lower harm for the environment. One way to fulfil such requirements are lighter structures and/or improved processes for energy conversion. Another emerging area is the interaction of classical engineering with the health, medical, and environmental sectors.


Book
Continuum thermodynamics and material modelling
Authors: ---
ISBN: 9781316517352 1316517357 Year: 2024 Publisher: Cambridge: Cambridge university press,

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"Packed with examples and illustrations to describe complex concepts and mathematical derivations, and including end-of-chapter problems with helpful hints, this thorough and accessible textbook is the ideal introduction to continuum thermodynamics for senior undergraduate and graduate students of mechanical, aeronautical and civil engineering."--

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