Results 41 to 50 of about 1,659,732 (316)
Phase-Field Crystals with Elastic Interactions [PDF]
Physical Review Letters, 2006 We report on a novel extension of the recent phase-field crystal (PFC) method introduced in [Elder et al., Phys. Rev. Lett., Vol. 88, 245701:1-4 (2002)], which incorporates elastic interactions as well as crystal plasticity and diffusive dynamics. In our model, elastic interactions are mediated through wave modes that propagate on time scales many ...
Stefanovic, Peter +2 more
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CoRRPeridynamics formulates the balance of linear momentum as an integro-differential equation, making it naturally suited for fracture modeling without special treatment of discontinuities. The bond-associated correspondence formulation provides a highly accurate peridynamic framework by computing bond-wise deformation gradients that are free of zero ...
Kai Partmann +3 more
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“Phase diagram” of a mean field game [PDF]
Physica A: Statistical Mechanics and its Applications, 2016 Mean field games were introduced by J-M.Lasry and P-L. Lions in the mathematical community, and independently by M. Huang and co-workers in the engineering community, to deal with optimization problems when the number of agents becomes very large. In this article we study in detail a particular example called the 'seminar problem' introduced by O ...
Swiecicki, Igor +2 more
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, 2023 This open access textbook fills a gap, in that it introduces readers to the theory and applications of the Phase-Field technique. Phase Field, over the years, has emerged as a standard tool for materials research, just as the Finite-Element technique has in structure mechanics.
Steinbach, Ingo, Salama, Hesham
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Analogues of Non-Gibbsianness in Joint Measures of Disordered Mean Field Models [PDF]
, 2002 It is known that the joint measures on the product of spin-space and disorder space are very often non-Gibbsian measures, for lattice systems with quenched disorder, at low temperature.
Külske, Christof, Külske, Christof,
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, 2022 Electrochemical models at different scales and varying levels of complexity have been used in the literature to study the evolution of the anode surface in lithium metal batteries.
MP Gururajan +7 more
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Journal of the Mechanical Behavior of Materials, 2017 A coupled multiphysics phase field framework is proposed to model anodic dissolution induced by stress corrosion fracture growth at microstructual level.
Nguyen Thanh-Tung +5 more
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Second order phase field asymptotics for multi-component systems [PDF]
, 2006 An asymptotic analysis of a phase field model for solidification in multicomponent alloy systems is presented. In the limit of vanishing interface thickness the related sharp interface model is approximated to second order by taking a non-constant ...
Stinner, Björn, Garcke, Harald
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Phase-field approach for faceted solidification [PDF]
Physical Review E, 2003 We extend the phase-field approach to model the solidification of faceted materials. Our approach consists of using an approximate gamma-plot with rounded cusps that can approach arbitrarily closely the true gamma-plot with sharp cusps that correspond to faceted orientations.
Debierre, J-M +3 more
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Study on fracture of hyperelastic Kirchhoff-Love plates and shells by phase field method
Xibei Gongye Daxue XuebaoThin walled structures such as plates and shells are widely used in many engineering fields. To Predict its fracture behavior is of great significance for integrity design and strength evaluation of engineering structures.
PENG Fan +4 more
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