Contact problems in elasticity and viscoelasticity theory. by James Margetson

Cover of: Contact problems in elasticity and viscoelasticity theory. | James Margetson

Published by University of East Anglia in Norwich .

Written in English

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Thesis (Ph.D.) - University of East Anglia, School of Mathematics and Physics, 1970.

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Open LibraryOL13844913M

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Theory of Viscoelasticity: An Introduction, Second Edition discusses the integral form of stress strain constitutive relations. The book presents the formulation of the boundary value problem and demonstrates the separation of variables condition. The text describes the mathematical framework to predict material behavior.

Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity.

Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods N. Kikuchi, J.T. Oden The contact of one deformable body with another lies at the heart of almost every mechanical structure. Get this from a library. Contact problems: the legacy of L.A. Galin. [L A Galin; G M L Gladwell] -- L.A.

Galin's book on contact problems is a remarkable work. Actually there are two books: the first, published in deals with contact problems. Introduction. Elasticity deals with elastic stresses and strains, their relationship, and the external forces that cause them. An elastic strain is defined as a strain that disappears instantaneously once the forces that cause it are removed.

The theory of elasticity for Hookean solids – in which stress is proportional to strain – is rather complex in its more rigorous by: 3.

Book Description. Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity.

The book includes all modern methods of research as well as the results of. Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the. Using variational formulations, Kikuchi and Oden derive a multitude of results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with.

Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity.

The book includes all modern methods of research as well as the results of the Author: Eduard Starovoitov, Faig Bakhman Ogli Naghiyev. Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity.

The book includes all modern methods of research as well as the results of the Format: Hardcover. An explicit solution is obtained of an integral equation which arises in several contact problems in linear viscoelastic bodies.

The solution is valid for contact problems in which the time-dependent contact area is an arbitrary function of time. The contact area can Cited by: Actually there are two books: the first, published in deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in The second book, published inincluded the first, and then had new sections on contact problems for viscoelastic materials, and rough contact problems; this.

contact problems and we apply these results in the study of models in-volving elastic bodies. The material in Part II is aimed at those readers who are interested in the mechanical background of contact problems and mathematical theory of some contact problems in elasticity.

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity This book introduces readers to a mathematical theory of contact problems involving deformable bodies. It covers mechanical modeling, mathematical formulations, variational analysis, and the numerical solution of the associated formulations.

relations in solid mechanics. Integration of numerous theoretical developments offers a complete, consistent description of the linear theory of the viscoelastic behavior of materials. Relevant theoretical formulations are derived from a continuum mechanics viewpoint, followed by discussions of problem-solving techniques.

"A welcome addition to the literature." — >American Scientist. 29 figures. Because of the importance of contact processes in structural and mechanical systems, considerable effort has been put into modeling and numerical simulations.

This book introduces readers to a mathematical theory of contact problems involving deformable bodies. Description: Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity.

The book includes all modern. The mathematical theory of contact problems, that can predict re- liably the evolution of the con tact process in different situations and under various conditions, is emerging currently. Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity.

The book includes all modern methods of research as well as the results of the. L.A. Galin’s book on contact problems is a remarkable work. Actually there are two books: the first, published in deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in The second book.

Main Contact Problems in Elasticity. A Study of Variational Inequalities and Finite Element Methods. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will.

Theory of Viscoelasticity: An Introduction, Second Edition discusses the integral form of stress strain constitutive relations. The book presents the formulation of the boundary value problem and demonstrates the separation of variables condition.

The text describes the mathematical framework to predict material Edition: 2. Book Description. Most books on continuum mechanics focus on elasticity and fluid mechanics.

But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today.

Outstanding among them are the theories of ide­ ally plastic and of viscoelastic materials. While plastic behavior is essentially nonlinear (piecewise linear at best), viscoelasticity, like elasticity, permits a linear theory. This theory of linear visco­ elasticity is the subject of tbe present : Springer-Verlag Berlin Heidelberg.

“In this new book, the authors present contemporary approaches to the formulation and solution of problems in the theory of elasticity, plasticity, and viscoelasticity. The traditional sections of the course of the theory of elasticity and plasticity are presented in the modern interpretation, clearly and in an easy-to-understand manner.

This instructive volume offers a comprehensive survey of the methods and theories of linear elasticity. Three major sections cover general theory, two-dimensional elasticity, and three-dimensional elasticity.

An ideal text for a two-course sequence on elasticity, this volume can also introduce the subject in a more general math course. Contact mechanics is the study of the deformation of solids that touch each other at one or more points.

A central distinction in contact mechanics is between stresses acting perpendicular to the contacting bodies' surfaces (known as the normal direction) and frictional stresses acting tangentially between the surfaces. This page focuses mainly on the normal direction, i.e.

on. 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.

Solid mechanics, also known as mechanics of solids, is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents.

Solid mechanics is fundamental for civil, aerospace, nuclear, biomedical and mechanical. Theory of Elasticity and Plasticity is designed as a textbook for both undergraduate and postgraduate students of engineering in civil, mechanical and aeronautical disciplines.

This book has been written with the objective of bringing the concepts of elasticity and plasticity to the students in a simplified and comprehensive manner.

This chapter discusses finite element models of materially nonlinear elastic and plastic models of one-dimensional problems. It presents efficient and accurate locking-free linear viscoelastic beam finite elements that can undergo large transverse displacements, moderate rotations, and small strains.

The viscoelastic beam finite element models were developed using the Euler–Bernoulli. Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity.

The book includes all modern methods of. in the book numerical results in the study of some model contact problems for elastic, viscoelastic and viscoplastic materials. The book is intended to be self-contained and accessible to a File Size: 8MB.

This book introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains, and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems.

Non-correspondence problems solution by direct construction; generalized correspondence principle; contact problems. Bending in nonlinear viscoelasticity Summary Examples Problems 6 Experimental methods. SOLID MECHANICS AND MATH BOOKS. A partial(!) list of titles in my bookshelf.

In each category, the books are arranged in non-decreasing order of sophistication. Contact Problems in the Classical Theory of Elasticity, G.M.L. Gladwell,Sijthhoff and Noordhoff. Viscoelasticity. Theory of Viscoelasticity, R.M.

Christenson, The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper­ ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (), though Alfrey () uses it in the context of polymers.

Thermoelasticity introduces several additional coefficients into the constitutive law including the dilatation coefficient, and permits the treatment of problems involving temperature variations, such as thermal stress analysis problems.

The theory of viscoelasticity was developed considerably with rheology during the s. This book covers in great detail the Rouse-segment-based molecular theories in polymer viscoelasticity — the Rouse theory and the extended reptation theory (based on the framework of the Doi–Edwards theory) — that have been shown to explain experimental results in a consistently quantitative way.

L.A. Galin's book on contact problems is a remarkable work. Actually there are two books: the first, published in deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in The second book, published inincluded the first, and then had new sections on contact problems for viscoelastic materials, and rough.

It includes theory and examples and contains detailed instructions for solutions using ANSYS for small and large deformation elasticity, plasticity, viscoelasicity, vibrations, wave propagation, fracture mechanics, building, plates and shells, and contact problems"--"The purpose of this book is to explain the application of finite the element.Lab 2: Engineering Polymers: Viscoelasticity, Strength, and Ductility: 8: Limits to Elasticity: Strength and Multi­-axial Yield Condition Boundary Conditions and Boundary Value Problems: 9: Elasticity of Composite Materials Applications: Lab 3: Stress Concentration: Plasticity and Creep: Uniaxial Elastic­-plastic Behavior.Theory of Plasticity is the most comprehensive reference on the subject as well as the most up to date -- no other significant Plasticity reference has been published recently, making this of great interest to academics and professionals.

This new edition presents extensive new material on the use of computational methods, plus coverage of.

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