Cover of: Topics in Finite Elasticity (CISM International Centre for Mechanical Sciences) |

Topics in Finite Elasticity (CISM International Centre for Mechanical Sciences)

  • 244 Pages
  • 4.25 MB
  • 8459 Downloads
  • English

Springer
Classical mechanics, Elasticity, Science, Continuum Mechanics, Technology & Industrial Arts, Science/Mathematics, Engineering - General, Mechanics - General, Physics, Science / Mechanics, applied mechanics, geophysics, materials science, partial differential equations, solid mech
ContributionsMichael Hayes (Editor), Giuseppe Saccomandi (Editor)
The Physical Object
FormatPaperback
ID Numbers
Open LibraryOL9627321M
ISBN 103211833366
ISBN 139783211833360

Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple.

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"There are many textbooks and treatises on finite elasticity, but Finite Elasticity Theory by David J. Steigmann is special. First, it is at the same time concise and deep, without any dogmatism.

Download Topics in Finite Elasticity (CISM International Centre for Mechanical Sciences) EPUB

Second, it achieves the difficult balance between scientific rigor and clear presentation.5/5(1). Topics in Finite Elasticity. Editors: Hayes, Michael, Saccomandi, Giuseppe (Eds.) Free Preview.

Buy this book eB29 € price for Spain (gross) Buy eBook ISBN ; Digitally watermarked, DRM-free; Included format: PDF. Get this from a library. Topics in finite elasticity.

[M A Hayes; Giuseppe Saccomandi; International Centre for Mechanical Sciences.;] -- More than fifty years ago, Professor R.S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a.

Topics in Finite Elasticity Manage this Book. Add to my favorites. Download Citations. Track Citations. Recommend & Share. Recommend to Library. Email to a friend Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations.

This theory is inherently nonlinear and is mathematically quite complex. An Introduction to the Theory of Elasticity provides an accessible guide to the subject in a form that will instill a firm foundation for more advanced study.

The topics covered include a general discussion of deformation and stress, the derivation of the equations of finite elasticity with some exact solutions, and the formulation of Cited by: Containing case studies and examples, the book aims to cover extensive research particularly on surface stress and topics related to the variational approach to the subject, and non-standard topics such as the rigorous treatment of constraints and a full discussion of algebraic inequalities associated with realistic material behaviour, and their g as an introduction.

More than fifty years ago, Professor R. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century.

This theory is inherently nonlinear, and is, in fact, far more difficult than most theories of mathematical physics. For this reason finite elasticity has encountered a recent resurgence, particularly among mathematicians.

This monograph presents a discussion of several (related and unrelated) topics in finite elasticity. Elasticity: Theory and Applications reviews the theory and applications of elasticity. The book is divided into three parts.

The first part is concerned with the kinematics of continuous media; the second part focuses on the analysis of stress; and the third part considers the theory of elasticity and its applications to engineering problems.

book Topics in finite elasticity Morton E Gurtin Published in in Philadelphia Pa) by Society for industrial and applied mathematics. Michell’s General Solutions for Torsionless Axisymmetric Problems With Body Forces in Elasticity J.

Appl. Mech (May, ) In Memoriam: James K. Knowles –Cited by:   An Introduction to the Theory of Elasticity by R. Atkin, N. Fox, Physics: Thanks to intense research activity in the field of continuum mechanics, the teaching of subjects such as elasticity theory has attained a high degree of clarity and simp.

: ELASTICITY Springer has just published the third edition of my book `Elasticity'. It contains four new chapters and additional end-of-chapter problems.

See below for the Table of Contents and the Preface. A sample chapter can be downloaded here. For purchasing information or to request inspection copies, click here. The topics covered include a general discussion of deformation and stress, the derivation of the equations of finite elasticity with some exact solutions, and the formulation of infinitesimal elasticity with application to some two- and 4/5(1).

Details Topics in Finite Elasticity (CISM International Centre for Mechanical Sciences) EPUB

Purchase Elasticity - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models.

The book also includes: A detailed coverage of elasticity for isotropic and anisotropic solids. Abstract. A Number of reviews of recent advances in finite elasticity theory have appeared in the past few years. Truesdell 1 has given a comprehensive review of this and closely related topics, largely from a critical and historical point of view.

Doyle and Ericksen 2 have given an account of the fundamentals of the subject, employing the general tensor by: Topics in finite elasticity | Morton E. Gurtin | download | B–OK.

Download books for free. Find books. Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures.

The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more Book Edition: 1. Nonlinear Elasticity presents a description of research and result on various nonlinear problems arising in elasticity. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity.

Organized into 11 chapters, this book begins with an. Finite Element Formulation for two dimensional Problems: Linear Elasticity (Chapter Text book) Error, estimation, and convergence (Ch. 8 - Textbook) Three dimensional Finite element analyses (Ch. 7, 9 - Textbook)) Plate and shell bending problems (Class lecture - no textbook coverage) Download Citation | Notes on Finite Elasticity Theory | This book is suitable for a first-year graduate course on Non-linear Elasticity Theory.

It is aimed at graduate students, post-doctoral. In less than pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics.

According to the author, elasticity may be viewed in many ways. For some, it is a dusty, classical subject to others it is the paradise of mathematics." But, he concludes, the subject of elasticity is really "an entity itself," a unified subject deserving comprehensive treatment.

He gives elasticity that full treatment in this valuable and instructive text. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models.

This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as.

A residual approach to advanced topics in finite element analysis of solids and structures Starting from governing differential equations, a unique and consistently weighted residual approach is used to present advanced topics in finite element analysis of structures, such as mixed and hybrid formulations, material and geometric nonlinearities, and contact problems.

This book Author: M. Asghar Bhatti.

Description Topics in Finite Elasticity (CISM International Centre for Mechanical Sciences) FB2

Michell’s General Solutions for Torsionless Axisymmetric Problems With Body Forces in Elasticity J. Appl. Mech (May, ) In Memoriam: James K. Knowles –. This book covers the following topics: Geometry Of Deformation, Kinematics, Measures Of Stress, Fundamental Balance Laws, Moving Spatial Frame, Constitutive Equations, Entropy Principle, Classical Linear Elasticity, Small Motions in A Medium with a finite Pre-stress.

Author(s): Zdenek Martinec.FINITE ELASTICITY J. M. BALL Department of Mathematics, Heriot- Watt University, Riccarton, Currie, Edinburgh EH14 4AS, Scotland (Received Septem ) Very few exact solutions are known to static and dynamic problems of finite elasticity, particularly in the case when the material is compressible.

General.Topics relating to structural symmetry are covered in a single chapter while dynamics is dealt with at various points. The logical presentation allows the clear introduction of topics such as finite element methods, automatic calculation of framed beam systems, plate and shell theory, theory of plasticity, and fracture mechanics.