Thermodynamics of stressed solids: Slow deformation and roughening of material interfaces

At every turn in nature we are confronted with complex patterns. Patterns often formed in multiphase systems by an intricate dynamics of mass transport, e.g. diffusion and/or advection, and mass exchange between individual phases. Here we consider instabilities of phase boundaries in idealized stres...

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Bibliographic Details
Published inThe European physical journal. ST, Special topics Vol. 178; no. 1; pp. 123 - 132
Main Authors Angheluta, L., Mathiesen, J.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.11.2009
Subjects
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Order Phase Transition
Stability Diagram
Airy Stress Function
European Physical Journal Special Topic
Linear Stability Analysis
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Summary:At every turn in nature we are confronted with complex patterns. Patterns often formed in multiphase systems by an intricate dynamics of mass transport, e.g. diffusion and/or advection, and mass exchange between individual phases. Here we consider instabilities of phase boundaries in idealized stressed multiphase systems. Specifically, we study the growth of small perturbations of surfaces by considering mass transport from regions, where the stress and chemical potential is high, to surrounding regions where the stress and chemical potential is low. We present a linear stability analysis for various stress configurations and their corresponding stability diagrams.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2010-01185-3