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Materials - Mechanics | Generalized Continua and Dislocation Theory - Theoretical Concepts, Computational Methods and

Generalized Continua and Dislocation Theory

Theoretical Concepts, Computational Methods and Experimental Verification

Sansour, Carlo, Skatulla, Sebastian (Eds.)

2012, X, 318 p.

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  • 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
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.

Content Level » Research

Keywords » Continuum Mechanics - Crystal Plasticity - Dislocation Theory - Generalized Continua

Related subjects » Characterization & Evaluation of Materials - Classical Continuum Physics - Mechanics

Table of contents 

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

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