Download or read book Unified Constitutive Equations for Creep and Plasticity written by A.K. Miller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive equations refer to 'the equations that constitute the material response' at any point within an object. They are one of the ingredients necessary to predict the deformation and fracture response of solid bodies (among other ingredients such as the equations of equilibrium and compatibility and mathematical descriptions of the configuration and loading history). These ingredients are generally combined together in complicated computer programs, such as finite element analyses, which serve to both codify the pertinent knowledge and to provide convenient tools for making predictions of peak stresses, plastic strain ranges, crack growth rates, and other quantities of interest. Such predictions fall largely into two classes: structural analysis and manufacturing analysis. In the first category, the usual purpose is life prediction, for assessment of safety, reliability, durability, and/or operational strategies. Some high-technology systems limited by mechanical behavior, and therefore requiring accurate life assess ments, include rocket engines (the space-shuttle main engine being a prominent example), piping and pressure vessels in nuclear and non-nuclear power plants (for example, heat exchanger tubes in solar central receivers and reformer tubes in high-temperature gas-cooled reactors used for process heat applications), and the ubiquitous example of the jet engine turbine blade. In structural analysis, one is sometimes concerned with predicting distortion per se, but more often, one is concerned with predicting fracture; in these cases the informa tion about deformation is an intermediate result en route to the final goal of a life prediction.

Download or read book Constitutive Equations for Polymer Melts and Solutions written by Ronald G. Larson and published by Butterworth-Heinemann. This book was released on 2013-10-22 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive Equations for Polymer Melts and Solutions presents a description of important constitutive equations for stress and birefringence in polymer melts, as well as in dilute and concentrated solutions of flexible and rigid polymers, and in liquid crystalline materials. The book serves as an introduction and guide to constitutive equations, and to molecular and phenomenological theories of polymer motion and flow. The chapters in the text discuss topics on the flow phenomena commonly associated with viscoelasticity; fundamental elementary models for understanding the rheology of melts, solutions of flexible polymers, and advanced constitutive equations; melts and concentrated solutions of flexible polymer; and the rheological properties of real liquid crystal polymers. Chemical engineers and physicists will find the text very useful.

Download or read book Constitutive Equations in Plasticity written by Ali S. Argon and published by Mit Press. This book was released on 1975 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Ultimate Limit State Design of Steel Plated Structures written by Jeom Kee Paik and published by John Wiley & Sons. This book was released on 2003-03-28 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steel plated structures are important in a variety of marine and land-based applications, including ships, offshore platforms, power and chemical plants, box girder bridges and box girder cranes. The basic strength members in steel plated structures include support members (such as stiffeners and plate girders), plates, stiffened panels/grillages and box girders. During their lifetime, the structures constructed using these members are subjected to various types of loading which is for the most part operational, but may in some cases be extreme or even accidental. Ultimate Limit State Design of Steel Plated Structures reviews and describes both fundamentals and practical design procedures in this field. The derivation of the basic mathematical expressions is presented together with a thorough discussion of the assumptions and the validity of the underlying expressions and solution methods. Particularly valuable coverage in the book includes: * Serviceability and the ultimate limit state design of steel structural systems and their components * The progressive collapse and the design of damage tolerant structures in the context of marine accidents * Age related structural degradation such as corrosion and fatigue cracks Furthermore, this book is also an easily accessed design tool which facilitates learning by applying the concepts of the limit states for practice using a set of computer programs which can be downloaded. In addition, expert guidance on mechanical model test results as well as nonlinear finite element solutions, sophisticated design methodologies useful for practitioners in industries or research institutions, selected methods for accurate and efficient analyses of nonlinear behavior of steel plated structures both up to and after the ultimate strength is reached, is provided. Designed as both a textbook and a handy reference, the book is well suited to teachers and university students who are approaching the limit state design technology of steel plated structures for the first time. The book also meets the needs of structural designers or researchers who are involved in civil, marine and mechanical engineering as well as offshore engineering and naval architecture.

Download or read book Fundamentals of Continuum Mechanics written by Stephen Bechtel and published by Academic Press. This book was released on 2014-12-02 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. - Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics - Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures - Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors' own research

Download or read book An Introduction to Fluid Mechanics written by Faith A. Morrison and published by Cambridge University Press. This book was released on 2013-04-15 with total page 945 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications. A swollen creek tumbles over rocks and through crevasses, swirling and foaming. Taffy can be stretched, reshaped and twisted in various ways. Both the water and the taffy are fluids and their motions are governed by the laws of nature. The aim of this textbook is to introduce the reader to the analysis of flows using the laws of physics and the language of mathematics. The book delves deeply into the mathematical analysis of flows; knowledge of the patterns fluids form and why they are formed, and also the stresses fluids generate and why they are generated, is essential to designing and optimising modern systems and devices. Inventions such as helicopters and lab-on-a-chip reactors would never have been designed without the insight provided by mathematical models.

Download or read book Continuum Mechanics with Eulerian Formulations of Constitutive Equations written by M.B. Rubin and published by Springer Nature. This book was released on 2020-10-11 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.

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 Constitutive Equations for Engineering Materials written by Wai-Fah Chen and published by Elsevier Science Limited. This book was released on 1994 with total page 0 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 Geomaterials Constitutive Equations and Modelling written by F. Darve and published by CRC Press. This book was released on 2002-11-01 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Theory of Multicomponent Fluids written by Donald A. Drew and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.

Download or read book Materials with Memory written by Hans-Dieter Alber and published by Springer. This book was released on 2006-11-13 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.

Download or read book The Non Linear Field Theories of Mechanics written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Stability of Non Linear Constitutive Formulations for Viscoelastic Fluids written by Dennis A. Siginer and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids provides a complete and up-to-date view of the field of constitutive equations for flowing viscoelastic fluids, in particular on their non-linear behavior, the stability of these constitutive equations that is their predictive power, and the impact of these constitutive equations on the dynamics of viscoelastic fluid flow in tubes. This book gives an overall view of the theories and attendant methodologies developed independently of thermodynamic considerations as well as those set within a thermodynamic framework to derive non-linear rheological constitutive equations for viscoelastic fluids. Developments in formulating Maxwell-like constitutive differential equations as well as single integral constitutive formulations are discussed in the light of Hadamard and dissipative type of instabilities.

Download or read book Engineering Rheology written by Roger I. Tanner and published by OUP Oxford. This book was released on 2000-03-02 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out to provide a guide, with examples, for those who wish to make predictions about the mechanical and thermal behaviour of non-Newtonian materials in engineering and processing technology. After an introductory survey of the field and a review of basic continuum mechanics, the radical differences between elongational and shear behaviour are shown. Two chapters, one based on a continuum approach and the other using microstructural approaches, lead to useful mathematical desriptions of materials for engineering applications. As examples of nearly-viscometric and nearly-elongational flows, there is a discussion of lubrication and related shearing flows, and fibre- spinning and film-blowing respectively. A long chapter is devoted to the important new field of computational rheology, and this is followed by chapters on stability and turbulence and the all-important temperature effects in flow. This new edition contains much new material not available in book form elsewhere-for example wall slip, suspension rheology, computational rheology and new results in stability theory.