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Continuum models for phase transitions and twinning in crystals

Author: Mario Pitteri; Giovanni Zanzotto
Publisher: Boca Raton, FL : Chapman & Hall/CRC, ©2003.
Series: Applied mathematics, 19.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Presents the fundamentals of an approach to crystal thermomechanics. This title looks at continuum theory for the equilibrium of crystalline substances by means of energy methods. It discusses the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Mario Pitteri; Giovanni Zanzotto
ISBN: 0849303273 9780849303272
OCLC Number: 49901846
Description: 385 pages : illustrations ; 24 cm.
Contents: Some experimental observations --
Some notions of elementary group theory --
Conjugacy --
Group actions and symmetry --
Linear and orthogonal transformations --
Tensors with period two --
Simple shears --
Finite groups of tensors or matrices --
Affine transformations --
Continuum mechanics --
Deformation --
Thermodynamic potentials and their invariance --
Stability of equilibrium --
Simple lattices --
Definitions and global symmetry --
Geometric symmetry and crystal systems --
Crystallographic point groups and holohedries --
Crystal classes and crystal systems --
Laue groups --
Arithmetic symmetry and Bravais lattice types --
Lattice groups --
Conjugacy in O (crystal systems) and in GL(3, Z) (Bravais lattice types) --
Centerings --
The fourteen Bravais lattices --
Fixed sets of lattice groups --
Symmetry-preserving stretches for simple lattices --
Commutation relations --
Structure of the fixed sets --
The Bain stretch in the centered cubic lattices --
Lattice subspaces, packings and indices --
Lattice rows and lattice planes --
Close-packed structures --
Miller indices and crystallographic equivalence --
Miller-Bravais indices for hexagonal lattices --
Lattice groups and fixed sets for planar lattices --
Weak-transformation neighborhoods and variants --
Reconciliatio of global and local symmetries --
Symmetry-breaking stretches for simple lattices --
Small deformations and weak phase transformations --
Small symmetry-preserving stretches --
Small symmetry-breaking stretches --
Constructing the small symmetry-breaking stretches.
Series Title: Applied mathematics, 19.
Responsibility: Mario Pitteri, Giovanni Zanzotto.
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"This text presents a comprehensive introduction into the thematic of solid-solid phase transformations. ... includes a comprehensive index and an extensive list of references ... that are ideal Read more...

 
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