Continuum Models for Phase Transitions and Twinning in Crystals

1. Auflage 2002
ISBN: 978-0-8493-0327-2
Verlag: Chapman and Hall/CRC

Buch, Englisch, 390 Seiten, Format (B × H): 166 mm x 244 mm, Gewicht: 671 g

Reihe: 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.

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.

Zielgruppe

Professional

Autoren/Hrsg.

Zanzotto, G.

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge
• Naturwissenschaften Chemie Physikalische Chemie Chemische Kristallographie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Chemie Anorganische Chemie Festkörperchemie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Introduction. Preliminaries. Simple Lattices. Weak-Transition.Neighborhoods, Subgroups, Cosets and Variants. Nonlinear Elasticity of
Crystals, Bifurcation Patterns, Mechanical Twinning, Transformation Twins. Microstructures.

Über Autor(innen)

Pitteri\, Mario; Zanzotto\, G.