Download or read book Constitutive Equations for Anisotropic and Isotropic Materials written by G.F. Smith and published by Newnes. This book was released on 2012-12-02 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive equations define the response of materials which are subjected to applied fields. This volume presents the procedures for generating constitutive equations describing the response of crystals, isotropic and transversely isotropic materials. The book discusses the application of group representation theory, Young symmetry operators and generating functions to the determination of the general form of constitutive equations. Basic quantity tables, character tables, irreducible representation tables and direct product tables are included.
Download or read book Mechanics of Anisotropic Materials written by Jacek J. Skrzypek and published by Springer. This book was released on 2015-05-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is focused on constitutive description of mechanical behaviour of engineering materials: both conventional (polycrystalline homogeneous isotropic or anisotropic metallic materials) and non-conventional (heterogeneous multicomponent anisotropic composite materials). Effective material properties at the macro-level depend on both the material microstructure (originally isotropic or anisotropic) as well as dissipative phenomena occurred on fabrication and consecutive loading phase (hardening) resulting in irreversible microstructure changes (acquired anisotropy). The material symmetry is a background and anisotropy is a core around which the book is formed. In this way a revision of classical rules of enhanced constitutive description of materials is required.
Download or read book Constitutive Modelling of Solid Continua written by José Merodio and published by Springer Nature. This book was released on 2019-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
Download or read book Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by Elsevier. This book was released on 2013-10-22 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Equations for Engineering Materials, Volume 1: Elasticity and Modeling, Revised Edition focuses on theories on elasticity and plasticity of engineering materials. The book first discusses vectors and tensors. Coordinate systems, vector algebra, scalar products, vector products, transformation of coordinates, indicial notation and summation convention, and triple products are then discussed. The text also ponders on analysis of stress and strain and presents numerical analysis. The book then discusses elastic stress-strain relations. Basic assumptions; need for elastic models; isotropic linear stress-strain relations; principle of virtual work; strain energy and complementary energy density in elastic solids; and incremental relations grounded on secant moduli are described. The text also explains linear elasticity and failure criteria for concrete and non-linear elasticity and hypoelastic models for concrete. The selection further tackles soil elasticity and failure criteria. Mechanical behavior of soils; failure criteria of soils; and incremental stress-strain models based on modification of the isotropic linear elastic formulation are considered. The text is a good source of data for readers interested in studying the elasticity and plasticity of engineering materials.
Download or read book Continuum Mechanics of Anisotropic Materials written by Stephen C. Cowin and published by Springer Science & Business Media. This book was released on 2013-01-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics of Anisotropic Materials(CMAM) presents an entirely new and unique development of material anisotropy in the context of an appropriate selection and organization of continuum mechanics topics. These features will distinguish this continuum mechanics book from other books on this subject. Textbooks on continuum mechanics are widely employed in engineering education, however, none of them deal specifically with anisotropy in materials. For the audience of Biomedical, Chemical and Civil Engineering students, these materials will be dealt with more frequently and greater accuracy in their analysis will be desired. Continuum Mechanics of Anisotropic Materials' author has been a leader in the field of developing new approaches for the understanding of anisotropic materials.
Download or read book Applied Mechanics of Solids written by Allan F. Bower and published by CRC Press. This book was released on 2009-10-05 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Download or read book Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by Elsevier Publishing Company. This book was released on 1994 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. Volume 2 extends the elasticity-based stress-strain models to the plastic range and develops plasticity-based models for engineering applications and is divided into four parts. Parts one and two contain a sufficient comprehensive treatment of the classical theory of plasticity and its applications to metal structures. Parts three and four present a state-of-the-art coverage of concrete plasticity and soil plasticity.
Download or read book Applications of Tensor Functions in Solid Mechanics written by J.P. Boehler and published by Springer. This book was released on 2014-05-04 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Static Green s Functions in Anisotropic Media written by Ernian Pan and published by Cambridge University Press. This book was released on 2015-04-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.
Download or read book Mechanics of Composite Structural Elements written by Holm Altenbach and published by Springer. This book was released on 2018-04-10 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the textbook presents a systematic introduction to the structural mechanics of composite components. The book focusses on modeling and calculation of sandwiches and laminated composites i.e. anisotropic material. The new edition includes an additional chapter covering the latest advances in both research and applications, which are highly relevant for readers. The textbook is written for use not only in engineering curricula of aerospace, civil and mechanical engineering, but also for materials science and applied mechanics. Furthermore, it addresses practicing engineers and researchers. No prior knowledge of composite materials and structures is required for the understanding of its content. The book is close to classical courses of "Strength of Materials" and "Theory of Beams, Plates and Shells" but it extends the classic content on two topics: the linear elastic material behavior of isotropic and non-isotropic structural elements, and inhomogeneous material properties in the thickness direction. The Finite Element Analysis of laminate and sandwich structures is briefly presented. Many solved examples illustrate the application of the techniques learned.
Download or read book Mechanical Behavior of Anisotropic Solids Comportment M chanique des Solides Anisotropes written by J.P. Boehler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1978, the European Mechanics Committee and the French Centre National de la Recherche Scientifique agreed to the organization of an Interna tional Colloquium on the "Mechanical Behavior of Anisotropic Solids". The meeting was held at Villard-de-Lans (near Grenoble, France) from 19th to 22 nd June 1979. The Colloquium considered mechanical aspects of the anisotropy of solids, both initial and induced by permanent deformation, anisotropic hardening and damage, oriented fissuration, etc. Topics concerned mathematical, experimental and engineering aspects of the anisotropy of metals, composites, soils and rocks. The aim of the Colloquium was to bring together experimentalists, theoretecians and engineers interested in various features of mechanical anisotropy, in order to permit an interdisciplinary exchange of understanding, experience and methods. A detailed description of the scope, aim and proposed topics is contained in the Preface. The announcement of the Colloquium attracted a large number of sub mitted contributions. Conforming with the principles of Euromech Colloquia and of the Colloques Internationaux du CNRS, the accepted contributions were limited to 50 communications. A general description of the scientific program is to be found in the Preface. Five general lectures gave state-of-the-art reports concerning some areas of the behavior of anisotropic solids; the 50 communications were divided into 12 sessions dealing with specific topics (see "Contents"). In order to facilitate subsequent contact between the reader and the contributors, full addresses are given in the "List of Authors."
Download or read book Geomaterials Constitutive Equations and Modelling written by F. Darve and published by CRC Press. This book was released on 1990-02-02 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geomaterials: Constitutive Equations and Modelling is a revised, English language version of the successful French book Manuel de Rheologie des Geomateriaux published in 1987. With contributors from international experts in the field, covers the behaviour of non-metallic materials used in civil engineering.
Download or read book Creep Mechanics written by Josef Betten and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a short survey of recent advances in the mathematical modelling of the mechanical behavior of anisotropic solids under creep conditions, including principles, methods, and applications of tensor functions. Some examples for practical use are discussed, as well as experiments by the author to test the validity of the modelling. The monograph offers an overview of other experimental investigations in creep mechanics. Rules for specifying irreducible sets of tensor invariants, scalar coefficients in constitutive and evolutional equations, and tensorial interpolation methods are also explained
Download or read book Large Elastic Deformations written by Albert Edward Green and published by Oxford University Press, USA. This book was released on 1970 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Modern Anisotropic Elasticity written by Klimentiĭ Fedosʹevich Chernykh and published by Begell House Publishers. This book was released on 1998-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, a leading Russian authority in the field of elasticity, has obtained some fundamental results in the investigation of a number of general problems in the mechanics of solids, the theory of shells, biomechanics, and the mechanics of elastomers. Fundamental theoretical investigations were combined with practical applications to real construction problems. This book deals with symmetry, linear anisotropic elasticity, constitutive equations, plane problems, anisotropic and reinforced shells, brittle fracture, Volterra's dislocations, etc. This important book is intended for students, engineers, and scientists specializing in various fields of structural analysis.
Download or read book Electromagnetic Anisotropy and Bianisotropy written by Tom G. Mackay and published by World Scientific. This book was released on 2010 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes.
Download or read book Continuum Mechanics and Theory of Materials written by Peter Haupt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
