A unified treatment of evolving interfaces accounting for small deformations and atomic transport: grain-boundaries, phase transitions, epitaxy

Eliot Fried, Morton E. Gurtin · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign) · 2003

Explore this paper's citation graph

Type: article
Published: 2003-05-01
Cited by: 52
References: 172
Access: Open access
OpenAlex: https://openalex.org/W225401714
Semantic Scholar: https://api.semanticscholar.org/CorpusID:118773788

Keywords

Grain boundary, Epitaxy, Phase transition, Materials science, Condensed matter physics

References

The totality of soft-states in a neo-classical nematic elastomerDonald E. Carlson, Eliot Fried, Shaun Sellers — 2002
Crack propagation in continuous mediaГ. П. Черепанов — 1967
Material Inhomogeneities in ElasticityGérard A. Maugin — 2020
Thermodynamik der Irreversiblen ProzesseRolf Haase — 1963
Computational studies of the effect of rotation on convection during protein crystallizationPratik Bhattacharjee, Daniel N. Riahi — 2003
A stability analysis and some numerical computations for thermal convection with a variable buoyancy factorFei Dong, Albert T. Hsui, Daniel N. Riahi — 2001
Elastic waves in cylindrical waveguides of arbitrary cross sectionVesna Damljanović, Richard L. Weaver — 2001
Atomistic scale experimental observations and micromechanical/continuum models for the effect of hydrogen on the mechanical behavior of metalsPetros Sofronis, I.M. Robertson — 2001
Transformations in metalsP.G. Shewmon — 1969
On Internal Constraints in Continuum MechanicsDonald E. Carlson, Eliot Fried, Daniel A. Tortorelli — 2002
Configurational Forces as Basic Concepts of Continuum PhysicsMorton E. Gurtin — 1999
Thermodynamics in Materials ScienceRobert DeHoff — 1993
Thermomechanics of Evolving Phase Boundaries in the PlaneM. Gurtin — 1993
Information and the Study of Turbulence and Complex FlowRonald J. Adrian — 2002
Coherent Solid-State Phase Transitions with Atomic Diffusion: A Thermomechanical TreatmentEliot Fried, Morton E. Gurtin — 1999
Multiphase thermomechanics with interfacial structureMorton E. Gurtin, Allan Struthers — 1990
Spanwise growth of vortex structure in wall turbulenceRonald J. Adrian, S. Balachandar, Z. C. Lin — 2001
On the driving traction acting on a surface of strain discontinuity in a continuumRohan Abeyaratne, James K. Knowles — 1990
On heterogeneous equilibrium op nonlinear elastic phases and chemical potential tensorsU.A. Grinfel'd — 1981
Finite deformation by mechanical twinningRichard D. James — 1981

Cited by

A hybrid level-set method in two and three dimensions for modeling detonation and combustion problems in complex geometriesSunhee Yoo, D. Scott Stewart — 2004
Modeling flows in protein crystal growthDaniel N. Riahi — 2004
Nonlinear compositional convection in mushy layersDaniel N. Riahi — 2005
On flow of binary alloys during crystal growthDaniel N. Riahi — 2003
A Front-Tracking Method for Motion by Mean Curvature with SurfactantMing‐Chih Lai, Che Wei Hsu, Huaxiong Huang — 2009
Mathematical modeling of wind forcesDaniel N. Riahi — 2007
Mathematical Modeling of Flow Control Using Magnetic Fluid and FieldPratik Bhattacharjee, Daniel N. Riahi — 2007
Kinetics of thermally induced swelling of hydrogelsHuidi Ji, Hashem M. Mourad, Eliot Fried — 2006
Localized turbulent flows on scouring granular beds.Gustavo Gioia, Fabián A. Bombardelli — 2005
Evolution of surface waviness in thin films via volume and surface diffusionRahul Panat, K. Jimmy Hsia, David G. Cahill — 2005
Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfacesPaolo Cermelli, Eliot Fried, Morton E. Gurtin — 2005
Free-energy density functions for nematic elastomersEliot Fried — 2004
Transition from laminar to turbulent flow in liquid filled microtubesKendra V. Sharp, R. J. Adrian — 2004
Orientational order and finite strain in nematic elastomers.Eliot Fried, Shaun Sellers — 2005
Rumpling instability in thermal barrier systems under isothermal conditions in vacuumRahul Panat, K. Jimmy Hsia, Joseph Oldham — 2005
Mind the Gap: The Shape of the Free Surface of a Rubber-Like Material in Proximity to a Rigid ContactorEliot Fried, Russell E. Todres — 2005
Sharp-Interface Nematic–Isotropic Phase Transitions without FlowPaolo Cermelli, Eliot Fried, Morton E. Gurtin — 2004
Inertial Effects on Rotating Flow in a Porous LayerDaniel N. Riahi — 2007
Multi-scale modeling of solid rocket motors: Time integration methods from computational aerodynamics applied to stable quasi-steady motor burningD. Scott Stewart, K. C. Tang, Sunhee Yoo — 2005
Surface Stress and Reversing Size Effect in the Initial Yielding of Ultrathin FilmsGustavo Gioia, Xuanjun Dai — 2006

Related papers

Computational studies of the effect of rotation on convection during protein crystallizationPratik Bhattacharjee, Daniel N. Riahi — 2003
The configurational and standard force balances are not always statements of a single lawEliot Fried — 2003
In situ poly(urea-formaldehyde) microencapsulation of dicyclopentadieneEric Brown, Michael R. Kessler, Nancy R. Sottos — 2003
On nonlinear convection in mushy layers. Part 2. Mixed oscillatory and stationary modes of convectionDaniel N. Riahi — 2004
Experimental investigation of the bond-coat rumpling instability under isothermal and cyclic thermal histories in thermal barrier systemsRahul Panat, K. Jimmy Hsia — 2004
Nonlinear steady convection in rotating mushy layersDaniel N. Riahi — 2003
Topological fluid mechanics of point vortex motionsPhilip Boyland, Mark A. Stremler, Hassan Aref — 1999
Effect of rotation on surface tension driven flow during protein crystallizationPooja Bhattacharjee, Daniel N. Riahi — 2003
On Internal Constraints in Continuum MechanicsDonald E. Carlson, Eliot Fried, Daniel A. Tortorelli — 2002
The totality of soft-states in a neo-classical nematic elastomerDonald E. Carlson, Eliot Fried, Shaun Sellers — 2002