# Continuum Mechanics and Linear Elasticity

## An Applied Mathematics Introduction

• Ciprian D. Coman
Textbook

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

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 243-280
3. Ciprian D. Coman
Pages 281-318
4. Ciprian D. Coman
Pages 319-370
5. Ciprian D. Coman
Pages 371-418
6. Ciprian D. Coman
Pages 419-458
4. Back Matter
Pages 459-519

### 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. Coman
• 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 Engineering (R0)
• 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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