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Friday, July 17, 2020 | History

1 edition of Continuum models for phase transitions and twinning in crystals found in the catalog.

Continuum models for phase transitions and twinning in crystals

Mario Pitteri

Continuum models for phase transitions and twinning in crystals

by Mario Pitteri

  • 28 Want to read
  • 11 Currently reading

Published by Chapman & Hall/CRC in Boca Raton, FL .
Written in English

    Subjects:
  • Twinning (Crystallography),
  • Continuum mechanics,
  • Phase transformations (Statistical physics)

  • Edition Notes

    Other titlesENGnetBASE.
    StatementMario Pitteri, Giovanni Zanzotto
    SeriesApplied mathematics -- 19
    ContributionsZanzotto, Giovanni
    The Physical Object
    Format[electronic resource] /
    ID Numbers
    Open LibraryOL25559018M
    ISBN 109781420036145

    Pitteri, M. & Zanzotto, G. Continuum Models for Phase Transitions and Twinning in Crystals (Chapman & Hall/CRC, Boca Raton, ) Google Scholar A 3D phase field dislocation dynamics model for body-centered cubic crystals X. Peng, N. Mathew, I. J. Beyerlein, K. Dayal, A. Hunter 1 A 3D phase field dislocation dynamics model for 2 body-centered cubic crystals Xiaoyao Peng{, Nithin Mathewy, Irene J 29 models account for each dislocation as a line in a 3D continuum that interacts.

    Some models of phase equilibria as local minima of a Lagrangian functional are shown to allow configurations where macroscopic strain is generally discontinuous, but internal variables (and derivatives) vary smoothly across the ‘phases’. The stability properties of ‘regularizations’ of such equilibria are also investigated.  , ; mesoscale continuum crystal plasticity models of slip and twinning are described in Ref. and references therein. Several other relevant modeling approaches are noted. Phase transformation has been studied at tips of moving cracks via analytical solutions to phase-field models,. Like twinning, phase transformations may be induced by strong.

    Theory of diffusionless phase transitions.- Invariance properties of inviscid fluids of grade n.- On diffusion in two-phase systems: the sharp interface versus the transition layer.- Instabilities in shear flow of viscoelastic fluids with fading memory.- Singularities of the order parameter in condensed matter physics.- Swelling and shrinking.   However, the models proposed in their papers did not incorporate the transformation strain causing non-convex energy as the ingredient of martensitic phase transition. The continuum model of deformation twinning within CDT proposed by Kochmann and Le () introduced the twinning shear based on the dislocation gliding mechanism of twin.


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Continuum models for phase transitions and twinning in crystals by Mario Pitteri Download PDF EPUB FB2

: Continuum Models for Phase Transitions and Twinning in Crystals (Applied Mathematics) (): Pitteri, Mario, Zanzotto, G.: BooksCited by: 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.

Continuum Models for Phase Transitions and Twinning in Crystals Pages pages Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal by:   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 : Mario Pitteri, G.

Zanzotto. Request PDF | On Jan 1,M. Pitteri and others published Continuum Models for Phase Transitions and Twinning in Crystals | Find, read and cite all the research you need on ResearchGate.

Continuum Models for Phase Transitions and Twinning in Crystals. Continuum Models for Phase Transitions and Twinning in Crystals book.

By Mario Pitteri, G. Zanzotto. Edition 1st Edition. First Published eBook Published 27 June Pub. location New York. Continuum Models for Phase Transitions and Twinning in Crystals. Applied Mathematics, Volume - M Pitteri and G Zanzotto (Dept of Math Methods and Models for Appl Sci, Univ of Padova, Italy).

Chapman and Hall/CRC, Boca Raton FL. ISBN $Cited by: PDEs and Continuum Models of Phase Transitions Proceedings of an NSF-CNRS Joint Seminar Held in Nice, France, January 18–22, Search within book. Front Matter. PDF. Clusters of singularities in liquid crystals. Yves Bouligand Concentrating on a few examples such as the microstructure of crystals, defects in liquid crystals and.

The study of phase transitions is one of the fundamental problems of physics. The goal of this seminar was to understand better the spectacular progress made recently in constructing continuum models. Concentrating on a few examples such as the microstructure of crystals, defects in liquid crystals.

This approach is general and will significantly improve phase-field models for phase transformations, in contrast to the second-order elasticity used curren48, It also provides a basis.

Get this from a library. Continuum models for phase transitions and twinning in crystals. [Mario Pitteri; Giovanni Zanzotto]. J 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.

Diffusionless transformations include “twinning,” in which a crystal transforms into a different variant of the same type of crystal. Martensitic transformations are changes in crystal structure that occur by shears and dilatations, but again without long-range diffusion.

Summary: This work presents the fundamentals of an approach to crystal thermomechanics - a nonlinear elastic continuum model for twinning and displacive phase transitions in crystalline materials. The authors investigate the actual mechanical aspects of.

[PZ 97] M. Pitteri and G. Zanzotto, Continuum models for phase transitions and twinning in crystals, Chapman and Hall, forthcoming. Google Scholar [Pr 76] I. Privorotskii, Thermodynamic theory of domain structures, Wiley, Ferroelasticity, twinning and related microstructures are described.

Landau-type theories of phase transitions are introduced, together with details of elastic and specific heat anomalies, the formation of spontaneous strain, and the generation of solitary waves at temperatures close to the transition point.

A continuum mechanical theory is used to model physical mechanisms of twinning, solid-solid phase transformations, and failure by cavitation and shear fracture. Such a sequence of mechanisms has been observed in atomic simulations and/or experiments on the ceramic boron carbide.

In the present modeling approach, geometric quantities such as the metric tensor and connection. Continuum Models for Phase Transitions and Twinning in Crystals.

Applied Mathematics, Volume 19 Book. Jan ; Mario Pitteri Continuum Models for Phase Transitions and Twinning in. () An adaptive time-stepping strategy for solving the phase field crystal model. Journal of Computational Physics() 3D adaptive finite element method for a phase field model for the moving contact line problems.

Cleavage cracking across twin boundaries in free-standing silicon thin films is investigated in a microtensile fracture experiment. If the twist misorientation is relatively small, the crack front transmission can be quite smooth; otherwise the fracture surface may be either planar or broken down into parallel terrains.

In all the cases, the local fracture resistance tends to increase. On the computation of crystalline microstructure - Volume 5 - Mitchell Luskin.This book describes the modern real-space approach to electronic structures and properties of crystalline and non-crystalline materials in a form readily accessible to undergraduates in materials science, physics, and chemistry.

- ;This book describes the modern real-space approach to electronic structures and properties of crystalline and non-crystalline materials in a form readily accessible 5/5(1).Advantages of phase field methods over other continuum models for crystal plasticity, twinning, and fracture in metals [26] and ceramics [27][28][29] include the following: (i) relatively few.