Skip to main content
SpringerLink
Log in

Einführung

  • Chapter
  • First Online:
Kontinuumsmechanik

Zusammenfassung

Ziel des einführenden Kapitels ist die Erläuterung der Aufgabenstellung der Kontinuumsmechanik sowie ihrer grundlegenden Annahmen und Modelle. Zur besseren Einordnung bestimmter Fakten werden zunächst wichtige historische Entwicklungsetappen der Mechanik allgemein und in Hinblick auf die Kontinuumsmechanik genannt. Möglichkeiten und Grenzen einer Kontinuumsmechanik im Kontext phänomenologischer Ansätze werden diskutiert und erste Grundbegriffe eingeführt.Weiterführende Literatur zur Geschichte ist mit [3; 4; 5; 6; 7; 8; 9; 12; 13; 17; 14; 16; 15; 18; 21; 22; 23; 24; 25; 26; 27; 28; 29; 30] gegeben.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literaturverzeichnis

  1. Altenbach H, Naumenko K, Zhilin P (2003) A micro-polar theory for binary media with application to phase-transitional flow of fiber suspensions. Continuum Mech Thermodyn 15:539 – 570

    Google Scholar 

  2. Altenbach H, Maugin GA, Erofeev V (eds) (2011) Mechanics of Generalized Continua, Advanced Structured Materials, Vol 7. Springer, Heidelberg

    Google Scholar 

  3. Becchi A, Corradi M, Foce F, Pedemonte O (eds) (2003) Essays on the History of Mechanics Book - In Memory of Clifford Ambrose Truesdell and Edoardo Benvenuto, Birkhäuser, Basel

    Google Scholar 

  4. Benvenuto E (1991) An Introduction to the History of Structural Mechanics, Vol I: Statics and Resistance of Solids. Springer, Berlin

    Google Scholar 

  5. Benvenuto E (1991) An Introduction to the History of Structural Mechanics, Vol II: Vaulted Structures and Elastic Systems. Springer, Berlin

    Google Scholar 

  6. Bertram A (2014) On the history of material theory - a critical review. In: Stein E (ed) The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering, Lecture Notes in Applied Mathematics and Mechanics, Vol 1. Springer, Heidelberg, pp 119 – 132

    Google Scholar 

  7. Bruhns OT (2014) Some remarks on the history of plasticity - Heinrich Hencky, a pioneer of the early years. In: Stein E (ed) The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering, Lecture Notes in Applied Mathematics and Mechanics, Vol 1. Springer, Heidelberg, pp 133 – 152

    Google Scholar 

  8. Bruhns OT (2015) The multiplicative decomposition of the deformation gradient in plasticity - origin and limitations. In: Altenbach H, Matsuda T, Okumura D (eds) From Creep Damage Mechanics to Homogenization Methods - A Liber Amicorum to celebrate the birthday of Nobutada Ohno, Advanced Structured Materials, Vol 64. Springer, Heidelberg, pp 37 – 66

    Google Scholar 

  9. Capecchi D, Ruta G (2015) Strength of Materials and Theory of Elasticity in 19th Century Italy - A Brief Account of the History of Mechanics of Solids and Structures, Advanced Structured Materials, Vol 52. Springer, Heidelberg

    Google Scholar 

  10. Eringen AC (1999) Microcontinuum Field Theory, Vol I. Foundations and Solids. Springer, New York

    Google Scholar 

  11. Eringen AC (2001) Microcontinuum Field Theory, Vol II. Fluent Media. Springer, New York

    Google Scholar 

  12. Mahrenholtz O, Gaul L (1977) Die Entwicklung der Mechanik seit Newton und ihre ingenieurmäßige Anwendung. Zeitschrift der TU Hannover 4(2):16–36

    Google Scholar 

  13. Mahrenholtz O, Gaul L (1978) Die Mechanik im 19. Jahrhundert. Zeitschrift der TU Hannover 5(2):38–48

    Google Scholar 

  14. Maugin GA (2014) ContinuumMechanics Through the Eighteenth and Nineteenth Centuries - Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914), Solid Mechanics and Its Applications, Vol 214. Springer, Dordrecht

    Google Scholar 

  15. Maugin GA (2016) Continuum Mechanics Through the Ages - from the Renaissance to the Twentieth Century - from Hydraulics to Plasticity, Solid Mechanics and Its Applications, Vol 223. Springer International

    Google Scholar 

  16. Maugin GA (2013) Continuum Mechanics Through the Twentieth Century: A Concise Historical Perspective, Solid Mechanics and Its Applications, Vol 196. Springer, Dordrecht

    Google Scholar 

  17. Maugin GA, Metrikine A (eds) (2010) Mechanics of Generalized Continua - One Hundred Years After the Cosserats, Advances in Mechanics and Mathematics 21. Springer, Berlin

    Google Scholar 

  18. Müller WH (2011) Streifzüge durch die Kontinuumstheorie. Springer, Berlin, Heidelberg

    Google Scholar 

  19. Nowacki W (1986) Theory of Asymmetric Elasticity. Pergamon Press, Oxford

    Google Scholar 

  20. Rubin MB (2000) Cosserat Theories: Shells, Rods and Points. Kluwer, Dordrecht

    Google Scholar 

  21. Russo L (2005) Die vergessene Revolution oder dieWiedergeburt des antiken Wissens. Springer, Berlin

    Google Scholar 

  22. Stein E (ed) (2014) The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering, Lecture Notes in Applied Mathematics and Mechanics, Vol 1. Springer, Berlin, Heidelberg

    Google Scholar 

  23. Szabo I (1976) Geschichte der mechanischen Prinzipien. Birkhäuser, Zürich

    Google Scholar 

  24. Tanner RI, Tanner E (2003) Heinrich Hencky: a rheological pioneer. Rheological Acta 42:93 – 101

    Google Scholar 

  25. Timoshenko SP (1983) History of Strength of Materials. Dover, New York

    Google Scholar 

  26. Todhunter I, Pearson K (1893) A history of the theory of elasticity and of the strength of materials from Galilei to the present time, Vol II, Pt. I: Saint-Venant to Lord Kelvin. Cambridge University Press

    Google Scholar 

  27. Todhunter I, Pearson K (1893) A history of the theory of elasticity and of the strength of materials from Galilei to the present time, Vol II, Pt. II: Saint-Venant to Lord Kelvin. Cambridge University Press

    Google Scholar 

  28. Todhunter I, Pearson K (1886) A history of the theory of elasticity and of the strength of materials from Galilei to the present time, Vol I: Galilei to Saint-Venant 1639-1850. Cambridge University Press

    Google Scholar 

  29. Truesdell C (1968) Essays in the History of Mechanics. Springer, Berlin

    Google Scholar 

  30. Truesdell C (1984) An Idiot’s Fugitive Essays on Science - Methods, Criticism, Training, Circumstances. Springer, New York

    Google Scholar 

  31. Truesdell C (1964) Die Entwicklung des Drallsatzes. ZAMM 44(4/5):149–158

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Otto-von-Guericke-Universität, Magdeburg, Deutschland

    Holm Altenbach

Authors
  1. Holm Altenbach
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Holm Altenbach .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer-Verlag Berlin Heidelberg

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Altenbach, H. (2018). Einführung. In: Kontinuumsmechanik. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-57504-8_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-57504-8_1

  • Published:

  • Publisher Name: Springer Vieweg, Berlin, Heidelberg

  • Print ISBN: 978-3-662-57503-1

  • Online ISBN: 978-3-662-57504-8

  • eBook Packages: Computer Science and Engineering (German Language)

Publish with us

Policies and ethics

Search

Navigation