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Mechanics of Solids with Phase Changes

Author: M. Berveiller

Publisher: Springer

Published: 2014-05-04

Total Pages: 320

ISBN-13: 3709126606

The book is mainly devoted to the thermomechanical behavior of materials during solid-solid phase transformations. The physical mechanisms including diffusion, martensitic transformation and plasticity are described from material science point of view. The global behaviour is deduced from methods of classical as well as irreversible thermodynamics and continuum and micro mechanics. Mainly metals, both non ferrous and ferrous alloys but also geological problems are dealt with. Special attention is given to transformation induced plasticity and shape memory alloys. Three chapters are concerned with practical applications (heat treatment, smart structures, residual stresses).

Phase Change in Mechanics

Author: Michel Frémond

Publisher: Springer Science & Business Media

Published: 2012-02-07

Total Pages: 313

ISBN-13: 3642246095

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Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Phase Change in Mechanics

Author: Michel Frémond

Publisher: Springer

Published: 2012-02-16

Total Pages: 303

ISBN-13: 9783642246104

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Phase Transformations and Material Instabilities in Solids

Author: Morton Gurtin

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 228

ISBN-13: 0323159729

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Phase Transformations and Material Instabilities in Solids contains the proceedings of an interdisciplinary conference on phase transitions and material instabilities in solids, conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 11-13, 1983 in Madison, Wisconsin. The papers explore phase transformations and material instabilities in solids and cover topics ranging from equilibrium shapes of surfaces to morphological instabilities and dendrite formation. Shock-induced phase transitions are also considered. Comprised of 11 chapters, this book begins with a discussion on material instabilities and the calculus of variations, followed by an analysis of mechanical analogs of coexistent phases. A model for the formation of shear bands in simple shear that involves the description of irreversible mechanical shear and the resulting heat release is then presented. Subsequent chapters focus on the Cauchy and Born hypotheses for crystals; the arrangement of coherent phases in a loaded body; one-dimensional shock layers in Korteweg fluids; and dynamics of first-order phase transitions. The final chapter deals with equilibrium shapes of surfaces and grain boundaries. This monograph will be of interest to students, practitioners, and researchers in mathematics and statistical physics.

Evolution of Phase Transitions

Author: Rohan Abeyaratne

Publisher: Cambridge University Press

Published: 2006-05-08

Total Pages: 272

ISBN-13: 9781139449243

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This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.

Solid Mechanics

Author: Anup Goel

Publisher:

Published: 2020-10-16

Total Pages: 782

ISBN-13: 9789333221924

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Solid mechanics is the branch of continuum mechanics that studies the behaviour of solid materials, especially their deformation under the action of forces, temperature changes, phase changes and other external and internal agents.Solid mechanics is fundamental for civil engineering, mechanical engineering and aerospace engineering. Solid mechanics extensively uses tensors to describe stresses, strains and relation between them.Solid mechanics examines the shear stress, bending stress, deformation and the failure of solid materials and structures.Solid mechanics is a vast subject because of the wide range of solid materials available and their multiple applicationsThe study of solid mechanics includes various methods to calculate the stresses and strains in structural members such as beams, columns and shafts.Solid mechanics is also known as Mechanics of solids or Mechanics of structures or Strength of materials.Our hope is that this book, through its careful explanations of concepts, practical examples and figures bridges the gap between knowledge and proper application of that knowledge.

Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition)

Author: Binder Kurt

Publisher: World Scientific Publishing Company

Published: 2011-01-31

Total Pages: 564

ISBN-13: 9813107537

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This book gives a pedagogical introduction to the physics of amorphous solids and related disordered condensed matter systems. Important concepts from statistical mechanics such as percolation, random walks, fractals and spin glasses are explained. Using these concepts, the common aspects of these systems are emphasized, and the current understanding of the glass transition and the structure of glasses are concisely reviewed. This second edition includes new material on emerging topics in the field of disordered systems such as gels, driven systems, dynamical heterogeneities, growing length scales etc. as well as an update of the literature in this rapidly developing field.

Phase Transitions in Solids

Author: Chintamani Nagesa Ramachandra Rao

Publisher: McGraw-Hill Companies

Published: 1978

Total Pages: 346

ISBN-13:

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Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids

Author: John M. Ball

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 477

ISBN-13: 3642599389

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A traditional way to honor distinguished scientists is to combine collections of papers solicited from friendly colleagues into dedicatory volumes. To honor our friend and colleague Mort Gurtin on the occasion of his sixty-fifth birthday, we followed a surer path to produce a work of intrinsic and lasting scientific value: We collected pa pers that we deemed seminal in the field of evolving phase interfaces in solids, a field to which Mort Gurtin himself has made fundamental contributions. Our failure for lack of space to include in this volume every paper of major significance is mitigated by the ma gisterial introduction prepared by Eliot Fried, which assesses the contributions of nu merous works. We hope that this collection will prove useful and stimulating to both researchers and students in this exciting field. August 1998 JohnM. Ball David Kinderlehrer Paulo Podio-Guidugli Marshall Slemrod Contents Introduction: Fifty Years of Research on Evolving Phase Interfaces By Eliot Fried. 0 •••••••••••••••••••••••••••••••••••••••••••••••• 0 ••••• 1 I. Papers on Materials Science Surface Tension as a Motivation for Sintering By C. Herring 33 Two-Dimensional Motion of Idealized Grain Boundaries By W. W. Mullins 0 ••••••••••• 0 ••••••••••••••••••• 70 Morphological. Stability of a Particle Growing by Diffusion or Heat Flow By w. w. Mullins and R. F. Sekerka 75 Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics By J. D. Eshelby 82 The Interactions of Composition and Stress in Crystalline Solids By F. e. Larche and 1. W. Cahn 120 II.

The Physics of Phase Transitions

Author: Pierre Papon

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 410

ISBN-13: 3662049899

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The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.