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Continuum Mechanics and Linear Elasticity

An Applied Mathematics Introduction

  • Ciprian D.┬áComan
Textbook

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 238)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Elements of Continuum Mechanics

    1. Front Matter
      Pages 1-1
    2. Ciprian D. Coman
      Pages 3-120
    3. Ciprian D. Coman
      Pages 121-160
    4. Ciprian D. Coman
      Pages 161-196
    5. Ciprian D. Coman
      Pages 197-240
  3. Topics in Linear Elasticity

    1. Front Matter
      Pages 241-241
    2. Ciprian D. Coman
      Pages 319-370
    3. Ciprian D. Coman
      Pages 371-418
  4. Back Matter
    Pages 459-519

About this book

Introduction

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible.

With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation). 

Keywords

Boundary-Value Problems Continuum Mechanics Linear Elasticity Tensor Analysis Vector Calculus

Authors and affiliations

  • Ciprian D.┬áComan
    • 1
  1. 1.School of Computing and EngineeringUniversity of HuddersfieldHuddersfieldUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-024-1771-5
  • Copyright Information Springer Nature B.V. 2020
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-024-1769-2
  • Online ISBN 978-94-024-1771-5
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • Buy this book on publisher's site
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