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Evolution of Phase Transitions

2006-05-08 Science
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Release : 2006-05-08
Genre : Science
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Evolution of Phase Transitions by : Rohan Abeyaratne

Download or read book Evolution of Phase Transitions written by Rohan Abeyaratne. This book was released on 2006-05-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Evolution of Phase Transitions

2006 Continuum mechanics
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Release : 2006
Genre : Continuum mechanics
Kind : eBook
Book Rating : 640/5 ( reviews)

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Book Synopsis Evolution of Phase Transitions by : Rohan Abeyaratne

Download or read book Evolution of Phase Transitions written by Rohan Abeyaratne. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: This is an essential work 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.

Phase Transitions

2011-08-14 Mathematics
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Release : 2011-08-14
Genre : Mathematics
Kind : eBook
Book Rating : 753/5 ( reviews)

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Book Synopsis Phase Transitions by : Ricard V. Solé

Download or read book Phase Transitions written by Ricard V. Solé. This book was released on 2011-08-14. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas. How might phase transitions shed light on important problems in biological and ecological complex systems? Exploring the origins and implications of sudden changes in nature and society, Phase Transitions examines different dynamical behaviors in a broad range of complex systems. Using a compelling set of examples, from gene networks and ant colonies to human language and the degradation of diverse ecosystems, the book illustrates the power of simple models to reveal how phase transitions occur. Introductory chapters provide the critical concepts and the simplest mathematical techniques required to study phase transitions. In a series of example-driven chapters, Ricard Solé shows how such concepts and techniques can be applied to the analysis and prediction of complex system behavior, including the origins of life, viral replication, epidemics, language evolution, and the emergence and breakdown of societies. Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.

Phase Transitions in Materials

2014-08-14 Science
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Release : 2014-08-14
Genre : Science
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Phase Transitions in Materials by : Brent Fultz

Download or read book Phase Transitions in Materials written by Brent Fultz. This book was released on 2014-08-14. Available in PDF, EPUB and Kindle. Book excerpt: A clear, concise and rigorous textbook covering phase transitions in the context of advances in electronic structure and statistical mechanics.

Phase Change in Mechanics

2012-02-07 Mathematics
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Release : 2012-02-07
Genre : Mathematics
Kind : eBook
Book Rating : 095/5 ( reviews)

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Book Synopsis Phase Change in Mechanics by : Michel Frémond

Download or read book Phase Change in Mechanics written by Michel Frémond. This book was released on 2012-02-07. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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