Material instabilities in continuum mechanics

related mathematical problems : the proceedings of a symposium year on material instabilities in continuum mechanics
  • 542 Pages
  • 1.77 MB
  • 828 Downloads
  • English

Clarendon Press, Oxford University Press , Oxford, New York
Phase transformations (Statistical physics) -- Mathematical models -- Congresses., Mechanics -- Mathematical models -- Congresses., Solid state physics -- Mathematical models -- Congresses., Continuum mechanics -- Mathematical models -- Congresses., Fluid mechanics -- Mathematical models -- Congre
Other titlesMaterial instabilities in continuum mechanics and related mathematical problems.
Statementorganized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986 ; edited by J.M. Ball.
GenreCongresses.
SeriesOxford science publications
ContributionsBall, J. M. 1948-, Heriot-Watt University. Dept. of Mathematics.
Classifications
LC ClassificationsQC176.8.P45 M38 1988
The Physical Object
Paginationxi, 542 p. :
ID Numbers
Open LibraryOL2393713M
ISBN 100198532733
LC Control Number87023297

Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory. About the Author Davide Bigoni is Professor of Solid and Structural Mechanics at the University of Trento, Italy, where he has been head of the Department of Mechanical and Structural Engineering Cited by: Material Instabilities in Continuum Mechanics, and Related Mathematical Problems.

Ball, Editor, J. Ball, Editor Search for other works by this author on: This Site. PubMed. Google Scholar. Book Reviews. Topics: Continuum mechanics. This content is only available via by: Get this from a library. Material instabilities in continuum mechanics: related mathematical problems: the proceedings of a symposium year on material instabilities in continuum mechanics.

[J M Ball; Heriot-Watt University. Department of Mathematics.;] -- The proceedings of a Symposium Year on Material instabilities in continuum mechanics organized by the Department of Mathematics, Heriot.

HYDRODYNAMIC INSTABILITIES material, as well as over exercises which introduce the reader to new problems. A First Course in Continuum Mechanics OSCAR GONZALEZ &ANDREW M. STUART Theory of Vortex Sound M. HOWE Applied Solid Mechanics PETER HOWELL, GREGORY KOZYREFF & JOHN OCKENDON Practical Applied Mathematics: Modelling, Analysis.

This book addresses the enhanced continuum theory to assess the thermomechanical response of instabilities such as shear bands and necking in materials as well as small-scale metallic compounds. Historically, the determination of the model parameters, including material length scale and its physical interpretation is exhaustively discussed.

Computational Mechanics of Materials. Over the years, I have had the opportunity to regularly teach the second and third of these subjects, and. A concise introductory course text on continuum mechanics. Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours.

It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more Reviews: 4. About this book Introduction The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well.

This book covers solid mechanics for nonlinear elastic and elastoplastic materials, describing the behavior of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behavior of frictional materials such as geological media.

On the basis of this theory, including large strain and inelastic behaviors. From the requirements you have, I don’t think that continuum mechanics books will do any good to fulfill your objectives.

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Rather try to find a decent machine design book like Norton and strength of materials book by Timoshenko Young etc. There you. Books shelved as continuum-mechanics: Nonlinear Solid Mechanics: A Continuum Approach for Engineering by Gerhard A. Holzapfel, First Course in Continuum. Various forms of rupture modes and material instabilities in granular materials are explored both analytically and numerically with lab experimental observations on sand as a backdrop.

The authors provide a clear picture of inelastic deformations and failure of. In this article the principles of the field operation and manipulation (FOAM) C++ class library for continuum mechanics are outlined.

Our intention is to make it as easy as possible to develop reliable and efficient computational continuum-mechanics codes: this is achieved by making the top-level syntax of the code as close as possible to conventional mathematical notation for tensors and. In the literature of continuum mechanics, this book sometimes is called "the Monster".

some others call it (and the Non-classical field theories by Treusdell and Noll) "the bibles of continuum. Continuum mechanics of Solids presents a unified treatment of the major concepts in Solid Mechanics for beginning graduate students in the many branches of engineering.

The fundamental topics of kinematics in finite and infinitesimal deformation, mechanical and thermodynamic balances plus entropy imbalance in the small strain setting are covered as they apply to all solids.

is analyzed by concurrent multiscale simulation (FE2 method), and instabilities are determined by solving an accompanying eigenvalue problem for the macroscopic tangent stiffness matrix (Sect. Continuum mechanics preliminaries Consider a continuum body B0 ⊂ Rd,whered = 2,3, in its material configuration at time t = 0, in Fig.

Continuum mechanics is a mathematical framework for studying the transmis-sion of force through and deformation of materials of all types. The goal is to construct a framework that is free of special assumptions about the type of material, the.

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Description. A concise introductory course text on continuum mechanics. Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours.

It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much. In this book, a new approach is pioneered in providing a unified theory in continuum mechanics. General Continuum Mechanics is intended for the beginner, but it develops advanced material covering interdisciplinary subjects.

With applications of convective, Lagrangian, and Eulerian coordinates and. Leading international researchers and practitioners of bifurcations and instabilities in geomechanics debate the developments and applications which have occurred over the last few decades.

The topics covered include modeling of bifurcation, structural failure of geomaterials and geostructures. The mechanics of fluids and the mechanics of solids represent the two major areas of physics and applied mathematics that meet in continuum mechanics, a field that forms the foundation of civil and mechanical engineering.

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This unified approach to the teaching of fluid and solid mechanics focuses on the general mechanical principles that apply to all materials.2/5(3). This book was born with the vocation of being a tool for the training of engineers in continuum mechanics. In fact, it is the fruit of the experience in teaching this discipline during many years at the Civil Engineering School of the Technical University of Catalonia (UPC/BarcelonaTech), both in undergraduate degrees (Civil Engineering and Geological Engineering) and postgraduate degrees.

An Introduction to Continuum Mechanics, 2. ed., Cambridge University Press, New York, (Solution manual is available from the publisher to the course instructors for adopting the book as the primary text book). J.N. Reddy, Principles of Continuum Mechanics.

A Study of Conservation Principles with Applications, Cambridge University Press. CiteScore: ℹ CiteScore: CiteScore measures the average citations received per peer-reviewed document published in this title. CiteScore values are based on citation counts in a range of four years (e.g.

) to peer-reviewed documents (articles, reviews, conference papers, data papers and book chapters) published in the same four calendar years, divided by the number of. Thoroughly revised and updated for the second edition, this comprehensive textbook integrates basic and advanced concepts of mechanics with numerical methods and biomedical applications.

Coverage is expanded to include a complete introduction to vector and tensor calculus, and new or fully updated chapters on biological materials and continuum mechanics, motion, deformation and rotation, and.

Friction and Instabilities - Ebook written by J.A.C. Martinis, M. Raous. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Friction and Instabilities.

continuum mechanics, the final chapter contains an introductory discussion of materials with internal state variables. The book is essentially self contained and should be suitable for self study.

It contains approximately two hundred and eighty exercises and one hundred and seventy references. The. An Introduction to Continuum Mechanics, Second Edition This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. The book introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics.

Continuum mechanics is a branch of mechanics that deals with the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles. The French mathematician Augustin-Louis Cauchy was the first to formulate such models in the 19th century.

‎Leading international researchers and practitioners of bifurcations and instabilities in geomechanics debate the developments and applications which have occurred over the last few decades.

The topics covered include modeling of bifurcation, structural failure of geomaterials and geostructures, adva. Get this from a library! Nonlinear solid mechanics: bifurcation theory and material instability. [Davide Bigoni] -- "This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme .Cory M.

Simon, Carlo Carraro, Multi- and instabilities in gas partitioning between nanoporous materials and rubber balloons, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, /rspa, (), ().Looking for an examination copy? If you are interested in the title for your course we can consider offering an examination copy.

To register your interest please contact [email protected] providing details of the course you are teaching. This book presents the fundamental concepts of.