Mathematical Theory of Dislocations and Fracture / R.W. Lardner.

Format:

Book

Author/Creator:

Lardner, R.W., author.

Series:

Mathematical expositions ; Number 17.

Heritage

Language:

English

Subjects (All):

Dislocations in crystals.

Genre:

Electronic books.

Physical Description:

1 online resource (xi, 363 pages).

Place of Publication:

Toronto : University of Toronto Press, [2019]

Language Note:

In English.

Summary:

Concise, logical, and mathematically rigorous, this introduction to the theory of dislocations is addressed primarily to students and researchers in the general areas of mechanics and applied mathematics. Its scope encompasses those aspects of dislocation theory which are closely related to the theories of elasticity and macroscopic plasticity, to modern continuum mechanics, and to the theory of cracks and fracture. The volume incorporates several new and original pieces of work, including a development of the theory of dislocation motion and plastic strain for non-linear materials, a new discussion of the line tension model, revised calculations of the Peierls resistance, and a new development of the van der Merwe theory of crystal interfaces.

Contents:

Frontmatter

CONTENTS

PREFACE

GENERAL BIBLIOGRAPHY

1. INTRODUCTION TO DISLOCATION

2. THEORY OF ELASTIC CONTINUA

3. BASIC THEORY OF SINGLE DISLOCATIONS

4. DISLOCATIONS IN A PERIODIC LATTICE

5. LINEAR DISLOCATION ARRAYS AND CRACKS

6. FRACTURE

7. CONTINUOUS DISTRIBUTIONS OF DISLOCATIONS

8. INTERNAL STRESSES

9. DYNAMICAL PROBLEMS

INDEX

Notes:

Includes bibliographical references (page xii) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 19. Feb 2019)

ISBN:

9781487585877

148758587X

OCLC:

1088922011