Continuum Models for Phase Transitions and Twinning in Crystals by Mario Pitteri

Continuum Models for Phase Transitions and Twinning in Crystals by Mario Pitteri

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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 roles of geometry, kinematics, and energy invariance in crystals during the investigation of the actual mechanics of this phenomenon.

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Continuum Models for Phase Transitions and Twinning in Crystals by Mario Pitteri

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.

"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 starting points for further reading."
- Mathematical Reviews, Issue 2004m


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Pitteri\, Mario; Zanzotto\, G.
SKU Unavailable
ISBN 13 9780849303272
ISBN 10 0849303273
Title Continuum Models for Phase Transitions and Twinning in Crystals
Author Mario Pitteri
Series Applied Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Taylor & Francis Inc
Year published 2002-06-27
Number of pages 390
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.