Overview
- Builds upon four experiments through each chapters and includes three additional unsolved experiments
- Presents a superior new theory of non-linear elasticity describing soft tissues and synthetic elastomers
- Viscoelasticity is presented from a physics perspective
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (7 chapters)
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Front Matter
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Continuum Fields
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Front Matter
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Constitutive Equations
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Front Matter
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Back Matter
Keywords
About this book
This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics and other fields where the mechanical response of soft solids is relevant.
Soft Solids: A Primer to the Theoretical Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of soft solids. Part II presents two distinct theories of elasticity and their associated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterize materials. These problems are discussed at the end of each chapter, giving students the opportunity to apply what they learned in the current chapter and to build upon the material in prior chapters.
Reviews
From the book reviews:
“The book starts right at the very beginning of continuum mechanics, i.e., kinematics, deformations, stresses, balances, etc. … The book is meant for seniors and first-year masters students. … It is surely recommendable to researchers working on bio-materials, a field of increasing interest recently.” (Albrecht Bertram, zbMATH, Vol. 1296, 2014)Authors and Affiliations
Bibliographic Information
Book Title: Soft Solids
Book Subtitle: A Primer to the Theoretical Mechanics of Materials
Authors: Alan D. Freed
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-3-319-03551-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-03550-5Published: 26 March 2014
Softcover ISBN: 978-3-319-37697-4Published: 23 August 2016
eBook ISBN: 978-3-319-03551-2Published: 10 March 2014
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XXXVI, 364
Number of Illustrations: 54 b/w illustrations, 3 illustrations in colour
Topics: Functional Analysis, Soft and Granular Matter, Complex Fluids and Microfluidics, Mathematical Applications in the Physical Sciences, Biomaterials