Abstract
The idea of Cosserat-continua was published at the end of the last century [1,2] and re-formulated by Günther [3] and Grioli [4] in 1958 and 1960, resp. These papers were followed by lots of articles concerning theoretical aspects and generalisations (see [5,6]), whereas applications were usually not mentioned. Lippmann [7] and his school showed that predictions of rotations in a plane system of needles are possible [8, 9].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cosserat, E. und F.: Sur la théorie de felasticité. Ann. Toulouse 10 (1896) 1–116
Cosserat, E. und F.: Théorie des corps deformables. Paris: Herman et fils 1909
Günther, W.: Zur Statik und Kinematik des Cosseratschen Kontinuums. Abh. Braunschw. W.ss. Ges. 10 (1958) 195–213
Grioli, G.: Elasticita asimmetrica. Annali di Matematica pura et applicata 4 (1960) 389–418
Schaefer, H.: Das Cosserat-Kontinuum. Z. Angew. Math. Mech. 47 (1967) 485–498
Stojanovic, R.: Mechanics of Polar Continua. Lecture-notes. Udine: Internat. center for mech. sciences 1969
Lippmann, H.: Eine Cosserat-Theorie des plastischen FlieBens. Acta Mechanica 8 (1969) 255–284
Bogdanova, N. and H. Lippmann: Rotationally Symmetric Plane Flow of Granular Materials. Acta Mechanica 1975
Becker, M. and W. Hauger: Granular Material - an Experimental Realization of Cosserat-Continuum. In: Mahrenholtz, G. and A. Sawczuk: Mechanics of Inelastc Media and Structures. Warszawa-Poznan: PWN 1982
Besdo, D.: Zur Beschreibung von ebenen Blockstrukturen als Cosserat-Kontinua. Z. Angew. Math. Mech 65 (1985) T124 - T125
Besdo, D.: Inelastic Behaviour of Plane Frictionless Block-Systems Described as Cosserat-Media. Arch. Mech. 37 (1985) 603–619
Broock, U. v.: Zur Anwendung des elastischen Cosserat-Kontinuums bei regelmäßig strukturierten Scheiben. VDI-Fortschr.-Ber. Reihe 1, Nr. 92 (1982)
Jonasch, G.: Zur numerischen Behandlung spezieller Scheiben-strukturen als Cosserat-Kontinuum. VDI-Fortschr. -Ber. Reihe 18, Nr. 34 (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Besdo, D. (1991). A Numerical Cosserat-Approach Predicting the Statical Stability of a Plane Frictionless Block-Structure, and its Boundary Conditions. In: Brüller, O.S., Mannl, V., Najar, J. (eds) Advances in Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48890-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-48890-0_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53988-9
Online ISBN: 978-3-642-48890-0
eBook Packages: Springer Book Archive