Mathematical Modelling of Solids with Nonregular Boundaries

Author:   A.B. Movchan ,  N.V. Movchan ,  N.V. Movchan (University of Liverpool, England, UK University of Liverpool, England, UK)
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367449025


Pages:   352
Publication Date:   30 June 2020
Format:   Paperback
Availability:   In Print   Availability explained
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Mathematical Modelling of Solids with Nonregular Boundaries


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Overview

Mathematical Modelling of Solids with Nonregular Boundaries demonstrates the use of asymptotic methods and other analytical techniques for investigating problems in solid mechanics. Applications to solids with nonregular boundaries are described in detail, providing precise and rigorous treatment of current methods and techniques. The book addresses problems in fracture mechanics of inhomogeneous media and illustrates applications in strength analysis and in geophysics. The rigorous approach allows the reader to explicitly analyze the stress-strain state in continuous media with cavities or inclusions, in composite materials with small defects, and in elastic solids with sharp inclusions. Effective asymptotic procedures for eigenvalue problems in domains with small defects are clearly outlined, and methods for analyzing singularly perturbed boundary value problems are examined. Introductory material is provided in the first chapter of Mathematical Modelling of Solids with Nonregular Boundaries, which presents a survey of relevant and necessary information, including equations of linear elasticity and formulations of the boundary value problems. Background information - in the form of definitions and general solutions - is also provided on elasticity problems in various bounded and unbounded domains. This book is an excellent resource for students, applied scientists, and engineers.

Full Product Details

Author:   A.B. Movchan ,  N.V. Movchan ,  N.V. Movchan (University of Liverpool, England, UK University of Liverpool, England, UK)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9780367449025


ISBN 10:   0367449021
Pages:   352
Publication Date:   30 June 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Introduction 2. Modelling of Cracks and Thin Inclusions in Elastic Media 3. Domains with Conical and Cylindrical Boundaries 4. Stress-Strain State in the Vicinity of Sharp Inclusions 5. Integral Characteristics in Elasticity Problems for Nonhomogeneous Bodies

Reviews

Of interest to advanced graduate students and scientists who work in the area of fracture mechanics. - Applied Mechanics Reviews, Volume 49, Number 3, March 1996


"""Of interest to advanced graduate students and scientists who work in the area of fracture mechanics."" - Applied Mechanics Reviews, Volume 49, Number 3, March 1996"


Of interest to advanced graduate students and scientists who work in the area of fracture mechanics. - Applied Mechanics Reviews, Volume 49, Number 3, March 1996


Author Information

Movchan, A.B. | Movchan, N.V.

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