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  • © 2015

Solid Mechanics

Theory, Modeling, and Problems

  • Offers a concise introduction to the science of modeling materials

  • Facilitates the understanding of fundamental principles by uniaxial materials modelling

  • Includes many worked examples and homework problems and solutions can be provided to instructors

  • Includes supplementary material: sn.pub/extras

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiii
  2. ONE-DIMENSIONAL MATERIAL THEORY

    • Albrecht Bertram, Rainer Glüge
    Pages 1-42
  3. INTRODUCTION TO TENSOR CALCULUS

    • Albrecht Bertram, Rainer Glüge
    Pages 43-120
  4. VECTOR AND TENSOR ANALYSIS

    • Albrecht Bertram, Rainer Glüge
    Pages 121-163
  5. FOUNDATIONS OF CONTINUUM MECHANICS

    • Albrecht Bertram, Rainer Glüge
    Pages 164-311
  6. Back Matter

    Pages 312-318

About this book

This textbook offers an introduction to modeling the mechanical behavior of solids within continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of the most important models in one dimension. Tensor calculus, which is called for in three-dimensional modeling, is concisely presented in the second part of the book. Once the reader is equipped with these essential mathematical tools, the third part of the book develops the foundations of continuum mechanics right from the beginning. Lastly, the book’s fourth part focuses on modeling the mechanics of materials and in particular elasticity, viscoelasticity and plasticity. Intended as an introductory textbook for students and for professionals interested in self-study, it also features numerous worked-out examples to aid in understanding.

Reviews

“This is one of a few textbooks on mathematically modeling the physical behavior of classical materials under the mechanical effects within the linear theory of continuum mechanics, and it comprises four chapters with selected references and sample examples, and an index. … The textbook is very comprehensive, well documented to the interested reader and highly recommended to students, teachers and researchers.” (M. Cengiz Dökmeci, zbMATH, Vol. 1366.74001, 2017) 

Authors and Affiliations

  • Fakultät für Maschinenbau, Otto-von-Guericke University Magdeburg, Magdeburg, Germany

    Albrecht Bertram, Rainer Glüge

About the authors

Albrecht Bertram, born in 1950, is professor for engineering mechanics at the University of Magdeburg and the Technical University of Berlin. He was visiting professor at Paris Tech and the University of California in Berkeley. His field of research is continuum mechanics and in particular, material modeling (elasticity, plasticity, viscoelasticity, damage, anisotropy, micro-macro, gradient materials, etc.). He is editor of the journal Technische Mechanik and initiator of the series International Conferences on Material Modeling.

Rainer Glüge, born in 1980, is a researcher, tutor and lecturer in the field of continuum mechanics and material modeling in the same group. His research interests are the theory of composites, scale bridging methods between micro- and macro scale, material modeling of phase transitions in solids and the nonlinear theory of elasticity.

Bibliographic Information

  • Book Title: Solid Mechanics

  • Book Subtitle: Theory, Modeling, and Problems

  • Authors: Albrecht Bertram, Rainer Glüge

  • DOI: https://doi.org/10.1007/978-3-319-19566-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-19565-0Published: 25 June 2015

  • Softcover ISBN: 978-3-319-36003-4Published: 13 October 2016

  • eBook ISBN: 978-3-319-19566-7Published: 13 June 2015

  • Edition Number: 1

  • Number of Pages: XIII, 318

  • Number of Illustrations: 86 b/w illustrations, 1 illustrations in colour

  • Additional Information: Original German edition published by Magdeburg University Library, Magdeburg, 2013

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials, Building Materials

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access