An Introduction to Continuum Mechanics - after Truesdell and Noll
An Introduction to Continuum Mechanics - after Truesdell and Noll

Author: D.R Smith

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 341

ISBN-13: 9401707138

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This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.

Continuum Mechanics Through the Twentieth Century
Continuum Mechanics Through the Twentieth Century

Author: Gerard A Maugin

Publisher: Springer Science & Business Media

Published: 2013-04-08

Total Pages: 321

ISBN-13: 9400763530

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This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Principles of Continuum Mechanics
Principles of Continuum Mechanics

Author: Zdeněk Martinec

Publisher: Springer

Published: 2019-05-31

Total Pages: 256

ISBN-13: 3030053903

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This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them.

The Non-Linear Field Theories of Mechanics
The Non-Linear Field Theories of Mechanics

Author: C. Truesdell

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 629

ISBN-13: 3662103885

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This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

Viscoplastic Flow in Solids Produced by Shear Banding
Viscoplastic Flow in Solids Produced by Shear Banding

Author: Ryszard B. Pecherski

Publisher: John Wiley & Sons

Published: 2022-05-31

Total Pages: 164

ISBN-13: 1119618584

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VISCOPLASTIC FLOW IN SOLIDS PRODUCED BYSHEAR BANDING A complete overview of the topic of viscoplastic flow in solids produced by shear banding This book presents novel ideas about inelastic deformation and failure of solids in a clear, concise manner. It exposes readers to information that will allow them to acquire the competence and ability to deal with up-to-date manufacturing and failure processes. It also portrays a new understanding of deformation processes. Finally, shear banding’s typical mechanism becomes the active cause of viscoplastic flow and not the ­passive effect. Viscoplastic Flow in Solids Produced by Shear Banding begins by discussing the new physical model of multilevel hierarchy and the evolution of micro-shear bands. In conclusion, it examines the difficulties of applying a direct multiscale integration scheme and extends the representative volume element (RVE) concept using the general theory of the singular surfaces of the microscopic velocity field sweeping out the RVE. This book reveals a new formulation of the shear strain rate generated by the consecutive systems of shear bands in the workflow integration approach. This book: Presents fresh ideas about inelastic deformation and failure of materials Provides readers with the ability to deal with up-to-date manufacturing and failure processes Sheds light on the interdisciplinary view of deformation processes in solids Viscoplastic Flow in Solids Produced by Shear Banding will appeal to researchers studying physical foundations of inelastic behaviour and failure of solid materials, dealing with analysis and numerical simulations of manufacturing forming processes. It is also an excellent resource for graduate and postgraduate students of material science and mechanical engineering faculties.

An Introduction to Continuum Mechanics
An Introduction to Continuum Mechanics

Author: J. N. Reddy

Publisher: Cambridge University Press

Published: 2007-10-29

Total Pages: 370

ISBN-13: 9780521870443

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This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.

A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences
A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences

Author: Riccardo Sacco

Publisher: Academic Press

Published: 2019-07-18

Total Pages: 856

ISBN-13: 0128125195

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A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences provides a systematic methodology to the formulation of problems in biomedical engineering and the life sciences through the adoption of mathematical models based on physical principles, such as the conservation of mass, electric charge, momentum, and energy. It then teaches how to translate the mathematical formulation into a numerical algorithm that is implementable on a computer. The book employs computational models as synthesized tools for the investigation, quantification, verification, and comparison of different conjectures or scenarios of the behavior of a given compartment of the human body under physiological and pathological conditions. - Presents theoretical (modeling), biological (experimental), and computational (simulation) perspectives - Features examples, exercises, and MATLAB codes for further reader involvement - Covers basic and advanced functional and computational techniques throughout the book

Elasticity and Plasticity of Large Deformations
Elasticity and Plasticity of Large Deformations

Author: Albrecht Bertram

Publisher: Springer Nature

Published: 2021-04-07

Total Pages: 410

ISBN-13: 3030723283

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This book presents an introduction to material theory and, in particular, to elasticity, plasticity and viscoelasticity, to bring the reader close to the frontiers of today’s knowledge in these particular fields. It starts right from the beginning without assuming much knowledge of the subject. Hence, the book is generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading. This book includes an updated reference list and over 100 changes throughout the book. It contains the latest knowledge on the subject. Two new chapters have been added in this new edition. Now finite viscoelasticity is included, and an Essay on gradient materials, which have recently drawn much attention.

Handbook of Research on Form and Morphogenesis in Modern Architectural Contexts
Handbook of Research on Form and Morphogenesis in Modern Architectural Contexts

Author: D'Uva, Domenico

Publisher: IGI Global

Published: 2018-02-23

Total Pages: 518

ISBN-13: 1522539948

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As architectural designs continue to push boundaries, there is more exploration into the bound shape of architecture within the limits of spaces made for human usability and interaction. The Handbook of Research on Form and Morphogenesis in Modern Architectural Contexts provides emerging research on the process of architectural form-finding as an effort to balance perceptive efficiency with functionality. While highlighting topics such as architectural geometry, reverse modeling, and digital fabrication, this book details the geometric process that forms the shape of a building. This publication is a vital resource for scholars, IT professionals, engineers, architects, and business managers seeking current research on the development and creation of architectural design.

Nonlinear Wave Dynamics
Nonlinear Wave Dynamics

Author: J. Engelbrecht

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 197

ISBN-13: 9401588910

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At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.