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  • Living reference work
  • © 2020

Encyclopedia of Continuum Mechanics

  • Assembles for the first time the concepts and tools for the entire science of continuum mechanics

  • Offers a clear and well-structered reference with over than 600 entries

  • Includes topics from a wide range in solid mechanics and fluid mechanics

  • Serves as an interdisciplinary nexus for engineers, e.g. mechancial, civil and aerospace), materials scientists and applied mathematicians

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Table of contents (334 entries)

  1. Beams, Plates, and Shells

    • Michael Krommer, Yury Vetyukov
  2. Bernoulli, Daniel

    • Holm Altenbach
  3. Bernoulli, Jakob I

    • Holm Altenbach
  4. Bernoulli, Johann

    • Holm Altenbach
  5. Bingham, Eugene Cook

    • Holm Altenbach
  6. Boundary Element Method for Composite Laminates

    • Giuseppe Daví, Alberto Milazzo
  7. Boundary Element Methods

    • Ferri M. H. Aliabadi
  8. Bridgman, Percy Williams

    • Holm Altenbach
  9. Budiansky, Bernard

    • Isaac Elishakoff
  10. Burgers, Johannes Martinus

    • Holm Altenbach, Otto T. Bruhns
  11. Carathéodory, Constantin

    • Holm Altenbach, Otto T. Bruhns
  12. Carbon Nanotubes

    • Małgorzata Chwał
  13. Carroll, Michael Mary

    • James Casey
  14. Cauchy, Augustin Louis

    • Holm Altenbach
  15. Chemical Affinity Tensor in Coupled Problems of Mechanochemistry

    • Alexander B. Freidin, Elena N. Vilchevskaya

About this book

The Encyclopedia of Continuum Mechanics covers the entire science of continuum mechanics including the mechanics of materials and fluids. The encyclopedia comprises mathematical definitions for continuum mechanical modeling, fundamental physical concepts, mechanical modeling methodology, numerical approaches and many fundamental applications. The modelling and analytical techniques are powerful tools in mechanical civil and areospsace engineering, plus in related fields of plasticity, viscoelasticity and rheology. Tensor-based and reference-frame-independent, continuum mechanics has recently found applications in geophysics and materials.

This three-volume encyclopedia comprises approximately uniform 600 entries.


  • Augustin Louis Cauchy
  • constitutive equations
  • dynamics
  • fluid mechanics
  • governing equations
  • kinematics
  • non-linear field theories
  • statistical volume element
  • thermodynamics

Editors and Affiliations

  • Otto-von-Guericke University Magdeburg, Chair of Engineering Mechanics, Institut, Magdeburg, Germany

    Holm Altenbach

  • Fakultät für Maschinenbau, Hochschule Esslingen, Esslingen am Neckar, Germany

    Andreas Öchsner

About the editors

Holm Altenbach is Full Professor at the Faculty of Mechanical Engineering at the Otto-von-Guericke-University Magdeburg, Germany. Having obtained a Diploma Degree (1980) and a Doctoral Degree (1983) at the Leningrad Polytechnic he received the Facultas docendi in Engineering Mechanics in Magdeburg. In 1987 he obtained the Doctor of Engineering Sciences (Dr.-Ing.habil.) at the Leningrad Polytechnic. From 1987 up to 1995 he worked as a lecturer in the Institute of Material Science at the Magdeburg University. During this period he was invited as a visiting professor to the National Technical University “Kharkiv Polytechnic Institute” (Kharkiv, Ukraine), the University of Technology Bratislava (Slovakia) and the Technical University Riga (Latvia). In 1996 he was appointed as a Full Professor in Engineering Mechanics at the Martin-Luther-University Halle-Wittenberg. His research activities were awarded by the Krupp fellowship (Ruhr-University Bochum), the Gold medal of the Faculty of Mechanical Engineering of the Politechnika Lubelska (Lublin, Poland) and Dr.h.c. of the National Technical University “Kharkiv Polytechnic Institute” (Kharkiv, Ukraine). He has presented over 320 lectures on national and international confereces and published approximately 320 scientific publications including monographs, textbooks and proceedings. He organized 3 CISM courses in Udine, Italy and acts as Editor-in-chief of “Zeitschrift für Angewandte Mathematic und Mechanik” (ZAMM, founded 1921) (“Journal  on Applied Mathematics and Mechanics”), and Advisory Editor of Continuum Mechanics and Thermodynamics.

Andreas Öchsner is a Full Professor at the School of Engineering, Griffith University, Australia and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director). Having obtained a Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), Germany, he served as a research and teaching assistant at the University of Erlangen-Nuremberg from 1997 to 2003 while working to complete his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was an Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007–2013) as a Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab.
His research interests are related to experimental and computational mechanics, cellular metals and thin structures and interphases. He has published over 420 scientific publications, comprising 13 research monographs, 21 book chapters and two teaching book on finite element methods. He is the general chairman of 11 international conferences on computational and experimental engineering and 13 international conferences in the area of heat and mass transfer. His editorial work comprises posts as Editor-in-chief of the international journal Continuum Mechanics and Thermodynamics, Editor-in-chief of the Springer book series on Advanced Structured Materials and Editor of SpringerBriefs in Applied Sciences and Technology: Computational Mechanics. His research activities were recognised in 2010 by the award of a higher doctorate degree (D.Sc.) by the University of Newcastle, Australia.

Bibliographic Information