Continuum Mechanics and Linear Elasticity

An Applied Mathematics Introduction

Research output: Book/ReportBook

Abstract

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 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).
Original languageEnglish
PublisherSpringer Netherland
Number of pages509
Edition1st
ISBN (Electronic)9789402417715
ISBN (Print)9789402417692
DOIs
Publication statusAccepted/In press - 2019

Publication series

NameSolid Mechanics and Its Applications
PublisherSpringer Netherlands
Volume238
ISSN (Print)0925-0042

Fingerprint

Continuum Mechanics
Linear Elasticity
Applied mathematics
Notation
Elasticity
Vector calculus
Mathematical Biology
Geology
Linear algebra
Continuum
Tensor
Sufficient
Modeling
Knowledge
Demand

Cite this

Coman, C. D. (Accepted/In press). Continuum Mechanics and Linear Elasticity: An Applied Mathematics Introduction. (1st ed.) (Solid Mechanics and Its Applications; Vol. 238). Springer Netherland. https://doi.org/10.1007%2F978-94-024-1771-5
Coman, Ciprian D. / Continuum Mechanics and Linear Elasticity : An Applied Mathematics Introduction. 1st ed. Springer Netherland, 2019. 509 p. (Solid Mechanics and Its Applications).
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Coman, CD 2019, Continuum Mechanics and Linear Elasticity: An Applied Mathematics Introduction. Solid Mechanics and Its Applications, vol. 238, 1st edn, Springer Netherland. https://doi.org/10.1007%2F978-94-024-1771-5

Continuum Mechanics and Linear Elasticity : An Applied Mathematics Introduction. / Coman, Ciprian D.

1st ed. Springer Netherland, 2019. 509 p. (Solid Mechanics and Its Applications; Vol. 238).

Research output: Book/ReportBook

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Coman CD. Continuum Mechanics and Linear Elasticity: An Applied Mathematics Introduction. 1st ed. Springer Netherland, 2019. 509 p. (Solid Mechanics and Its Applications). https://doi.org/10.1007%2F978-94-024-1771-5