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Book Continuum Mechanics of Single Substance Bodies

Download or read book Continuum Mechanics of Single Substance Bodies written by A. Cemal Eringen and published by Academic Press. This book was released on 2013-10-22 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Physics, Volume II: Continuum Mechanics of Single-Substance Bodies discusses the continuum mechanics of bodies constituted by a single substance, providing a thorough and precise presentation of exact theories that have evolved during the past years. This book consists of three parts—basic principles, constitutive equations for simple materials, and methods of solution. Part I of this publication is devoted to a discussion of basic principles irrespective of material geometry and constitution that are valid for all kinds of substances, including composites. The geometrical notions, kinematics, balance laws, and thermodynamics of continua are also deliberated. Part II focuses on materials consisting of a single substance, followed by a general theory of constitutive equations and special types of bodies. The thermoelastic solids, thermoviscous fluids, and memory-dependent materials are likewise considered. Part III is devoted to a discussion of a variety of nonlinear and linear problems, as well as nonlinear deformations of elastic solids, viscometric fluids, singular surfaces and waves, and complex function technique. This volume is a good source for researchers and students conducting work on the continuum mechanics of single-substance bodies.

Book Continuum Mechanics

    Book Details:
  • Author : Fridtjov Irgens
  • Publisher : Springer Science & Business Media
  • Release : 2008-01-10
  • ISBN : 3540742980
  • Pages : 667 pages

Download or read book Continuum Mechanics written by Fridtjov Irgens and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

Book The Thermodynamics of Linear Fluids and Fluid Mixtures

Download or read book The Thermodynamics of Linear Fluids and Fluid Mixtures written by Miloslav Pekař and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Samohýl and Pekař offer a consistent and general non-equilibrium thermodynamic description for a model of chemically reacting mixtures. This type of model is frequently encountered in practice and up until now, chemically reacting systems (out of equilibrium) have rarely been described in books on non-equilibrium thermodynamics. Readers of this book benefit from the systematic development of the theory; this starts with general principles, going through the applications to single component fluid systems, and finishing with the theory of mixtures, including chemical reactions. The authors describe the simplest mixture model – the linear fluid – and highlight many practical and thermodynamically consistent equations for describing transport properties and reaction kinetics for this model. Further on in the book, the authors also describe more complex models. Samohýl and Pekař take special care to clearly explain all methodology and starting axioms and they also describe in detail applied assumptions and simplifications. This book is suitable for graduate students in chemistry, materials science and chemical engineering as well as professionals working in these and related areas.

Book Material Substructures in Complex Bodies

Download or read book Material Substructures in Complex Bodies written by Gianfranco Capriz and published by Elsevier. This book was released on 2007-05-24 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stringent industrial requirements of sophisticated performances and of circumstantial control for micro-devices or nanotechnology manufactures, and other types of machinery at multiple scales, can be satisfied often only by resort to or allowance for complex materials. The adjective 'complex' beckons to the fact that the substructure influences gross mechanical behaviour in a prominent way and interactions due to substructural changes are represented directly. The description of the mechanical behaviour of complex bodies proposes a wide class of challenging problems from macroscopic-to-nano-world. The collection of chapters composing this book aims to explore some aspects of these problems, proposing also new matter of discussion together with specific solutions. Contributors are Carlo Cercignani, Gianfranco Capriz, Pierre Degond, Antonio Fasano, Harley T. Johnson, Sukky Jun, Krishna Kannan, Wing Kam Liu, Alberto Mancini, Paolo Maria Mariano, Ingo Müller, Kumbakonan R. Rajagopal, Jan Jerzy Slawianowski. The book can be a useful tool for Scholars and PhD students addressing their research activity toward basic mathematical and physical problems accruing from the mechanics of materials.

Book The Catalogue of Computational Material Models

Download or read book The Catalogue of Computational Material Models written by Paul Steinmann and published by Springer Nature. This book was released on 2021-03-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1948 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Tensor Calculus and Differential Geometry for Engineers

Download or read book Tensor Calculus and Differential Geometry for Engineers written by Shahab Sahraee and published by Springer Nature. This book was released on 2023-12-12 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.

Book The Finite Element Method for Three Dimensional Thermomechanical Applications

Download or read book The Finite Element Method for Three Dimensional Thermomechanical Applications written by Guido Dhondt and published by John Wiley & Sons. This book was released on 2004-11-19 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though many 'finite element' books exist, this book provides a unique focus on developing the method for three-dimensional, industrial problems. This is significant as many methods which work well for small applications fail for large scale problems, which generally: are not so well posed introduce stringent computer time conditions require robust solution techniques. Starting from sound continuum mechanics principles, derivation in this book focuses only on proven methods. Coverage of all different aspects of linear and nonlinear thermal mechanical problems in solids are described, thereby avoiding distracting the reader with extraneous solutions paths. Emphasis is put on consistent representation and includes the examination of topics which are not frequently found in other texts, such as cyclic symmetry, rigid body motion and nonlinear multiple point constraints. Advanced material formulations include anisotropic hyperelasticity, large strain multiplicative viscoplasticity and single crystal viscoplasticity. Finally, the methods described in the book are implemented in the finite element software CalculiX, which is freely available (www.calculix.de; the GNU General Public License applies). Suited to industry practitioners and academic researchers alike, The Finite Element Method for Three-Dimensional Thermomechanical Applications expertly bridges the gap between continuum mechanics and the finite element method.

Book Continuum Physics

    Book Details:
  • Author : A Eringen
  • Publisher : Elsevier
  • Release : 2012-12-02
  • ISBN : 0323155561
  • Pages : 332 pages

Download or read book Continuum Physics written by A Eringen and published by Elsevier. This book was released on 2012-12-02 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Physics, Volume III: Mixtures and EM Field Theories discusses the field theories for bodies composed of different substances, such as mixtures and interaction of electromagnetic effects with the deformable bodies. This book aims to present the mathematical foundations of nonlinear mechanical, electrical, and magnetic phenomena that take place in mixtures and materially uniform bodies. This volume consists of three parts. Part I is devoted to the development of the theory of mixtures, including kinematics, balance laws, and constitutive equations for bodies consisting of several different substances. Part II is concerned with the mechanics of deformable bodies interacted by electromagnetic fields. The deformation produced by EM fields, EM fields resulting from the deformation of bodies, and plethora of other physical phenomena arising from mechanical and EM interactions are also covered. Micromagnetism is covered in Part III, including considerations arising from the interaction of strong magnetic fields with the inner structure of the body. This publication is valuable to students and researchers interested in mixtures and EM field theories.

Book Mathematical Foundations of Elasticity

Download or read book Mathematical Foundations of Elasticity written by Jerrold E. Marsden and published by Courier Corporation. This book was released on 2012-10-25 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Book Continuum Physics V4

    Book Details:
  • Author : A. Cemal Eringen
  • Publisher : Elsevier
  • Release : 2012-12-02
  • ISBN : 0323140602
  • Pages : 289 pages

Download or read book Continuum Physics V4 written by A. Cemal Eringen and published by Elsevier. This book was released on 2012-12-02 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Physics, Volume IV: Polar and Nonlocal Field Theories discusses the exposition of field theories for bodies which possess inner structure that can interact with mechanical and electromagnetic fields. This book provides precise presentations of exact continuum theories on materially non-uniform or non-simple bodies that can respond to short- and long-range inter-particle loads and fields. This volume consists of three parts. Part I is devoted to the study of continuum field theories for bodies having inner structure. All materials, to some extent, are composed of particles that behave like small rigid bodies or deformable particles, unlike the geometrical points of the classical continuum theory. The developments of nonlocal theories of nonpolar and polar continua are covered in Parts II and III. This publication is valuable to students and researchers interested in polar and nonlocal field theories.

Book Simulation of damage mechanisms in weave reinforced materials based on multiscale modeling

Download or read book Simulation of damage mechanisms in weave reinforced materials based on multiscale modeling written by Naake, Dominik Robert and published by KIT Scientific Publishing. This book was released on 2020-09-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A weave reinforced composite material with a thermoplastic matrix is investigated by using a multiscale chain to predict the macroscopic material behavior. A large-strain framework for constitutive modeling with focus on material non-linearities, i.e. plasticity and damage is defined. The ability of the geometric and constitutive models to predict the deformation and failure behavior is demonstrated by means of selected examples.

Book Catalog of Copyright Entries  Third Series

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1976 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Recent Developments in Thermomechanics of Solids

Download or read book Recent Developments in Thermomechanics of Solids written by G. Lebon and published by Springer. This book was released on 2014-05-04 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of the contributions contained in this volume is to present the thermodynamic foundations of the response of elastic and dissipative materials. In particular, the governing equations of non linear thermoelasticity and thermoinelasticity as well as the basic properties of these equations as resulting from the primary assumptions of continuum thermodynamics are derived. The global formulation of thermodynamics of continua is discussed. A special attention is paid to the properties of the balance equations on a singular surface. The possible forms of the second law of thermodynamics are discussed within the frame work ofaxiomatic thermodynamics. Furthermore, the thermodynamiG requirements for differ ent kinds of materials are examined. The secondary purpose of the Course was to discuss some connections between rational and classical formulations of the principles of thermodynamics. The present volume contains the texts of three (of the four delivered) Course lectures. I hope it will constitute a useful source of information on the problems presented and discussed in Udine. Special thanks are due to the International Centre for Mechanical Sciences whose direction encouraged us to prepare and to deliver the lectures.

Book Advances in the Flow and Rheology of Non Newtonian Fluids

Download or read book Advances in the Flow and Rheology of Non Newtonian Fluids written by D.A. Siginer and published by Elsevier. This book was released on 1999-05-07 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes contain chapters written by experts in such areas as bio and food rheology, polymer rheology, flow of suspensions, flow in porous media, electrorheological fluids, etc. Computational as well as analytical mathematical descriptions, involving appropriate constitutive equations deal with complex flow situations of industrial importance. This work is unique in that it brings together state of the art reviews and recent advances in a variety of areas, involving viscoelastic materials, in a desirable and timely manner.

Book Multiphase Flow and Fluidization

Download or read book Multiphase Flow and Fluidization written by Dimitri Gidaspow and published by Academic Press. This book was released on 1994-01-18 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: It clarifies many physical concepts (such as particulate viscosity and solids pressure) and introduces the new dependent variable - the volume fraction of the dispersed phase. Exercises are provided for further study, and lead into applications not covered in the text itself

Book Thermal Physics and Thermal Analysis

Download or read book Thermal Physics and Thermal Analysis written by Jaroslav Šesták and published by Springer. This book was released on 2017-03-24 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features twenty-five chapter contributions from an international array of distinguished academics based in Asia, Eastern and Western Europe, Russia, and the USA. This multi-author contributed volume provides an up-to-date and authoritative overview of cutting-edge themes involving the thermal analysis, applied solid-state physics, micro- and nano-crystallinity of selected solids and their macro- and microscopic thermal properties. Distinctive chapters featured in the book include, among others, calorimetry time scales from days to microseconds, glass transition phenomena, kinetics of non-isothermal processes, thermal inertia and temperature gradients, thermodynamics of nanomaterials, self-organization, significance of temperature and entropy. Advanced undergraduates, postgraduates and researchers working in the field of thermal analysis, thermophysical measurements and calorimetry will find this contributed volume invaluable. This is the third volume of the triptych volumes on thermal behaviour of materials; the previous two receiving thousand of downloads guaranteeing their worldwide impact.