Overview
- Provides the most comprehensive treatment on generalized continua with outreach to many interdisciplinary areas such as nanoengineering and biomechanics
- Connects theoretical frameworks to computational results
- Covers three scales from the continuum and the crystal plasticity level to the elementary scale of a dislocation motion
Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 537)
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Table of contents (4 chapters)
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Generalized Continua and Dislocation Theory
Book Subtitle: Theoretical Concepts, Computational Methods and Experimental Verification
Editors: Carlo Sansour, Sebastian Skatulla
Series Title: CISM International Centre for Mechanical Sciences
DOI: https://doi.org/10.1007/978-3-7091-1222-9
Publisher: Springer Vienna
eBook Packages: Engineering, Engineering (R0)
Copyright Information: CISM Udine 2012
Hardcover ISBN: 978-3-7091-1221-2Published: 18 April 2012
Softcover ISBN: 978-3-7091-1755-2Published: 09 May 2014
eBook ISBN: 978-3-7091-1222-9Published: 27 May 2012
Series ISSN: 0254-1971
Series E-ISSN: 2309-3706
Edition Number: 1
Number of Pages: X, 318
Topics: Solid Mechanics, Characterization and Evaluation of Materials, Classical and Continuum Physics