Continuum Models for Phase Transitions and Twinning in Crystals

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Mario Pitteri (University of Padova, Padova, Italy) G. Zanzotto (University of Padova, Padova, Italy)

Continuum Models for Phase Transitions and Twinning in Crystals

Mario Pitteri (University of Padova, Padova, Italy), G. Zanzotto (University of Padova, Padova, Italy), G. Zanzotto (University of Padova, Padova, Italy)

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English

CRC Press Inc
27 June 2002

Mathematical modelling; Maths for scientists; Thermodynamics & heat; Statistical physics; Crystallography

Series: Applied Mathematics

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.

A lthough 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.

By: Mario Pitteri (University of Padova Padova Italy), G. Zanzotto (University of Padova, Padova, Italy), G. Zanzotto (University of Padova, Padova, Italy)
Imprint: CRC Press Inc
Country of Publication: United States
Dimensions: Height: 234mm, Width: 156mm, Spine: 25mm
Weight: 880g
ISBN: 9780849303272
ISBN 10: 0849303273
Series: Applied Mathematics
Pages: 390
Publication Date: 27 June 2002
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Pitteri\, Mario; Zanzotto\, G.

Reviews for Continuum Models for Phase Transitions and Twinning in Crystals

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 Promo Copy