Continuum Models for Phase Transitions and Twinning in Crystals

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A01=G. Zanzotto
A01=Mario Pitteri
alloys
Author_G. Zanzotto
Author_Mario Pitteri
basis
Basis Ea
Bravais Type
Category=PBWH
Category=PDE
Category=PHH
Category=PHS
Category=PNT
Compound Twins
Conjugacy Class
continuum thermomechanics in crystals
crystallographic
Crystallographic Point Group
Elasticity Tensor
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Free Energy Density
Global Symmetry
group
Group Subgroup Relation
Growth Twins
Habit Plane
Landau Theory
Lattice Vectors
lattices
martensitic transformation
material symmetry
mathematical physics
Mechanical Twinning
memory
microstructure formation
Monoclinic Axis
nonlinear mechanics
Order Parameter Space
orthonormal
point
Rank-1 Connections
shape
Shape Memory Alloys
simple
Simple Lattices
thermoelasticity
Transformation Twins
Twin Bands
Twinning Equation
Twinning Operations
Type-2 Twins
Vice Versa

Product details

  • ISBN 9780849303272
  • Weight: 880g
  • Dimensions: 156 x 234mm
  • Publication Date: 27 Jun 2002
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a central role. This is the first organized presentation of a nonlinear elastic approach to twinning and displacive phase transition in crystalline solids. The authors develop geometry, kinematics, and energy invariance in crystals in strong connection and with the purpose of investigating the actual mechanical aspects of the phenomena, particularly in an elastostatics framework based on the minimization of a thermodynamic potential. Interesting for both mechanics and mathematical analysis, the new theory offers the possibility of investigating the formation of microstructures in materials undergoing martensitic phase transitions, such as shape-memory alloys. Although phenomena such as twinning and phase transitions were once thought to fall outside the range of elastic models, research efforts in these areas have proved quite fruitful. Relevant to a variety of disciplines, including mathematical physics, continuum mechanics, and materials science, Continuum Models for Phase Transitions and Twinning in Crystals is your opportunity to explore these current research methods and topics.
Pitteri\, Mario; Zanzotto\, G.

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