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Generalized Continua and Dislocation Theory

Theoretical Concepts, Computational Methods and Experimental Verification
Buch | Hardcover
X, 318 Seiten
2012 | 2012
Springer Wien (Verlag)
978-3-7091-1221-2 (ISBN)

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The most comprehensive treatment to date of generalized continua, this volume outlines their links to disciplines such as nanoengineering and biomechanics. Incorporating current notions of scale variation, it includes revelatory lectures from Maugin and Zbib.

Defects, dislocations and the general theory.- Approaches to generalized continua.- Generalized continuum modelling of crystal plasticity.- Introduction to discrete dislocation dynamics.

The book contains four lectures on generalized continua and dislocation theory, reflecting the treatment of the subject at different scales. G. Maugin provides a continuum formulation of defects at the heart of which lies the notion of the material configuration and the material driving forces of in-homogeneities such as dislocations, disclinations, point defects, cracks, phase-transition fronts and shock waves. C. Sansour and S. Skatulla start with a compact treatment of linear transformation groups with subsequent excursion into the continuum theory of generalized continua. After a critical assessment a unified framework of the same is presented. The next contribution by S. Forest gives an account on generalized crystal plasticity. Finally, H. Zbib provides an account of dislocation dynamics and illustrates its fundamental importance at the smallest scale. In three contributions extensive computational results of many examples are presented.

Defects, dislocations and the general theory.- Approaches to generalized continua.- Generalized continuum modelling of crystal plasticity.- Introduction to discrete dislocation dynamics.

Erscheint lt. Verlag 18.4.2012
Reihe/Serie CISM International Centre for Mechanical Sciences
Zusatzinfo X, 318 p.
Verlagsort Vienna
Sprache englisch
Maße 155 x 235 mm
Gewicht 760 g
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Physik / Astronomie Mechanik
Technik Maschinenbau
Schlagworte Continuum Mechanics • Crystal plasticity • Dislocation Theory • Generalized Continua • Kontinuumsmechanik
ISBN-10 3-7091-1221-4 / 3709112214
ISBN-13 978-3-7091-1221-2 / 9783709112212
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