Higher Gradient Materials and Related Generalized Continua

  • Holm Altenbach
  • Wolfgang H. Müller
  • Bilen Emek Abali

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 120)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Bilen Emek Abali, Hua Yang, Panayiotis Papadopoulos
    Pages 1-18
  3. Francesco dell’Isola, Alessandro Della Corte, Antonio Battista, Emilio Barchiesi
    Pages 19-41
  4. Vladimir I. Erofeev, Anna V. Leontyeva, Alexey O. Malkhanov, Igor S. Pavlov
    Pages 55-68
  5. Ivan Giorgio, Ugo Andreaus, Faris Alzahrani, Tasawar Hayat, Tomasz Lekszycki
    Pages 69-94
  6. Leonid A. Igumnov, Aleksandr A. Ipatov, Andrey N. Petrov, Svetlana Yu. Litvinchuk, Aron Pfaff, Victor A. Eremeyev
    Pages 121-134
  7. Mikhail Nikabadze, Armine Ulukhanyan
    Pages 155-199
  8. Sergey N. Romashin, Victoria Yu. Presnetsova, Larisa Yu Frolenkova, Vladimir S. Shorkin, Svetlana I. Yakushina
    Pages 221-231

About this book


This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as:

•     The structural size is very small.

•     The microstructure is complex.

•     The effects are localized.

As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.


Gradient theories Generalized continua Dislocations Composite Materials Material symmetry Wave propagation

Editors and affiliations

  • Holm Altenbach
    • 1
  • Wolfgang H. Müller
    • 2
  • Bilen Emek Abali
    • 3
  1. 1.Institut für MechanikOtto-von-Guericke-University MagdeburgMagdeburgGermany
  2. 2.Technische Universität BerlinInstitut für MechanikBerlinGermany
  3. 3.Institut für MechanikTechnische Universität BerlinBerlinGermany

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