Microstructure evolution accounting for crystal plasticity in the context of the multiphase-field method. (English) Zbl 07893931
MSC:
74-XX
Found 227 Documents (Results 1–100)
Global solutions to an initial-boundary value problem of a phase-field model for motion of grain boundaries. (English) Zbl 1543.35088
Modeling of environmentally assisted intergranular crack propagation in polycrystals. (English) Zbl 1533.74070
Kobayashi-Warren-Carter system of singular type under dynamic boundary condition. (English) Zbl 1532.35279
Existence of solutions to a phase-field model of 3D grain boundary motion governed by a regularized 1-harmonic type flow. (English) Zbl 1518.35459
Concentration inequalities for the hydrodynamic limit of a two-species stochastic particle system. (English) Zbl 1512.74004
Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries. (English) Zbl 1503.35224
A duality-based coupling of Cosserat crystal plasticity and phase field theories for modeling grain refinement. (English) Zbl 1529.74078
A stochastic model of grain boundary dynamics: a Fokker-Planck perspective. (English) Zbl 1524.74379
Numerical study of grain growth in laser powder bed fusion additive manufacturing of metals. (English) Zbl 1540.74101
Grain growth and the effect of different time scales. (English) Zbl 1501.74014
Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 33-58 (2022).
Tilt grain boundaries of hexagonal structures: a spectral viewpoint. (English) Zbl 1497.65244
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Continuum model and numerical method for dislocation structure and energy of grain boundaries. (English) Zbl 1487.35363
Effect of nanoscale amorphization in nanocrystalline bimaterials on dislocation emission from the tip of colinear linear cracks. (English) Zbl 1490.74094
The dynamics of sliding, rolling and saltating sediments in oscillatory flows. (English) Zbl 1487.76099
Constrained optimization problems governed by PDE models of grain boundary motions. (English) Zbl 1487.35218
Finite element error analysis for a system coupling surface evolution to diffusion on the surface. (English) Zbl 1486.65165
Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation. (English) Zbl 1483.35110
New findings for the old problem: exact solutions for domain walls in coupled real Ginzburg-Landau equations. (English) Zbl 07452176
A three-dimensional continuum simulation method for grain boundary motion incorporating dislocation structure. (English) Zbl 07435296
Grain boundary grooving in a bicrystal with passivation coating. (English) Zbl 1521.74036
MSC:
74E20
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag. (English) Zbl 1484.34114
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. (English) Zbl 1483.35297
A curve shortening equation with time-dependent mobility related to grain boundary motions. (English) Zbl 1483.53109
Misorientation and grain boundary orientation dependent grain boundary response in polycrystalline plasticity. (English) Zbl 1479.74021
Theoretical insight of strengthening and hardening behavior in ultrafine-grained metals under high pressure. (English) Zbl 07412652
Effect of the elastic coefficient heterogeneity and crystallography on the grain growth stagnation. (English) Zbl 1525.74042
A single grain boundary parameter to characterize normal stress fluctuations in materials with elastic cubic grains. (English) Zbl 1480.74046
Thermo-electro-mechanical modeling of spark plasma sintering processes accounting for grain boundary diffusion and surface diffusion. (English) Zbl 1468.74005
Motion of grain boundaries with dynamic lattice misorientations and with triple junctions drag. (English) Zbl 1467.74020
RI-IGABEM for 2D viscoelastic problems and its application to solid propellant grains. (English) Zbl 1506.74469
Simulation of silver nanoparticles sintering at high temperatures based on theoretical evaluations of surface and grain boundary mobilities. (English) Zbl 07881087
A grain boundary model considering the grain misorientation within a geometrically nonlinear gradient-extended crystal viscoplasticity theory. (English) Zbl 1472.74032
Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions. (English) Zbl 1475.35373
Energy-dissipation in a coupled system of Allen-Cahn-type equation and Kobayashi-Warren-Carter-type model of grain boundary motion. (English) Zbl 1455.35025
A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure. (English) Zbl 1508.35184
Application of the grain boundary formulation and image processing-based algorithm in micro-mechanical analysis of piezoelectric ceramic. (English) Zbl 1482.74130
Second order threshold dynamics schemes for two phase motion by mean curvature. (English) Zbl 1436.65153
Fractional phase-field crystal modelling: analysis, approximation and pattern formation. (English) Zbl 1443.74160
A novel highly efficient Lagrangian model for massively multidomain simulation applied to microstructural evolutions. (English) Zbl 1442.74226
Grain boundary triple junction dynamics: a continuum disconnection model. (English) Zbl 1447.35321
Reviewer: Alain Brillard (Riedisheim)
A mathematical model for determination of the hydrogen concentration at which the deformation mechanism changes. (Ukrainian, English) Zbl 1463.76045
Reviewer: T. K. Sirazetdinov (Kazan’)
Numerical modeling of compressive failure mechanisms in ceramic materials at high strain rates. (English) Zbl 1440.74256
Diffusionless (chemically partitionless) crystallization and subsequent decomposition of supersaturated solid solutions in Sn-Bi eutectic alloy. (English) Zbl 1425.82031
Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2143, Article ID 20180204, 15 p. (2019).
MSC:
82D30
Micromechanical studies of strain rate dependent compressive strength in brittle polycrystalline materials. (English) Zbl 07072983
Quasilinear type Kobayashi-Warren-Carter system including dynamic boundary condition. (English) Zbl 1470.35200
A class of parabolic systems associated with optimal controls of grain boundary motions. (English) Zbl 1470.35213
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation. (English) Zbl 1419.82068
A free boundary problem with two moving boundaries modeling grain hydration. (English) Zbl 1391.35430
A computational study on the microstructural evolution in near-surface copper grain boundary structures due to femtosecond laser processing. (English) Zbl 1451.78001
Investigation of the shape, dimensions and DEM modeling method of maize grains. (English) Zbl 1451.65165
Li, Xikui (ed.) et al., Proceedings of the 7th international conference on discrete element methods, DEM 7, Dalian, China, August 1–4, 2016. In 2 volumes. Singapore: Springer. Springer Proc. Phys. 188, 1287-1295 (2017).
A gradient crystal plasticity theory for large deformations with a discontinuous accumulated plastic slip. (English) Zbl 1398.74048
An automatic method for generating carbon nanostructure atomistic models using hexagonal meshes with properly distributed defects. (English) Zbl 1378.82061
Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. (English) Zbl 1365.65218
Description of the 3D morphology of grain boundaries in aluminum alloys using tessellation models generated by ellipsoids. (English) Zbl 1361.94019
MSC:
94A08
Relations between grain boundary character distribution, misorientation distribution and two-point orientation distribution. (English) Zbl 1423.76417
Critical Casimir effect in the Ising strips with standard normal and ordinary boundary conditions and the grain boundary. (English) Zbl 1400.82092
MSC:
82B35
Generalised Voronoi tessellation for generating microstructural finite element models with controllable grain-size distributions and grain aspect ratios. (English) Zbl 1352.74035
Generalized grain cluster method for multiscale response of multiphase materials. (English) Zbl 1329.74057
Continuum framework for dislocation structure, energy and dynamics of dislocation arrays and low angle grain boundaries. (English) Zbl 1328.74011
MSC:
74A45
Phase-field systems for grain boundary motions under isothermal solidifications. (English) Zbl 1333.35125
Reviewer: Mersaid Aripov (Tashkent)
The influence of the exterior surface on grain boundary mobility measurements. (English) Zbl 1302.74107
A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces. (English) Zbl 1286.74066
Global attractors for non-autonomous phase-field systems of grain boundary motion with constraint. (English) Zbl 1291.35012
A fast Poisson solver by Chebyshev pseudospectral method using reflexive decomposition. (English) Zbl 1488.65690
An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations. (English) Zbl 1298.65144
Numerical simulation and linear well-posedness analysis for a class of three-phase boundary motion problems. (English) Zbl 1242.65168
Global attractor of the multivalued semigroup associated with a phase-field model of grain boundary motion with constraint. (English) Zbl 1306.35055
On dislocation models of grain boundaries. (English) Zbl 1272.74025
MSC:
74A60
Effect of grain boundary diffusion acceleration during structural superplasticity of nano- and microcrystalline materials. (Russian, English) Zbl 1249.74019
Dokl. Akad. Nauk, Ross. Akad. Nauk 440, No. 4, 469-471 (2011); translation in Dokl. Phys. 56, No. 10, 520-522 (2011).
Reviewer: Andrei Zemskov (Moskva)
The structure and energetics of, and the plasticity caused by, Eshelby dislocations. (English) Zbl 1452.74006
Simulation of polycrystal deformation with grain and grain boundary effects. (English) Zbl 1426.74133
A duality-based method for generating geometric representations of polycrystals. (English) Zbl 1235.74369
MSC:
74S30
74E15
Stress concentrations, diffusionally accommodated grain boundary sliding and the viscoelasticity of polycrystals. (English) Zbl 1228.74020
Plasticity of crystals and interfaces: from discrete dislocations to size-dependent continuum theory. (English) Zbl 1299.74002
Mesomechanics of material strengthening by nanodisperse inclusions. (English. Russian original) Zbl 1272.74027
J. Appl. Mech. Tech. Phys. 51, No. 4, 555-568 (2010); translation from Prikl. Mekh. Tekh. Fiz. 51, No. 4, 127-142 (2010).
Deformation behavior and stress states of a diffusional creeping polycrystal with bimodal grain-size distribution. (English) Zbl 1269.74046
MSC:
74E15
Assessment of plastic heterogeneity in grain interaction models using crystal plasticity finite element method. (English) Zbl 1426.74101
Activation volume and deviation from Cottrell-Stokes law at small grain size. (English) Zbl 1426.74107
Large-time behavior of solutions to a phase-field model of grain boundary motion with constraint. (English) Zbl 1211.35048
Aiki, T. (ed.) et al., Current advances in nonlinear analysis and related topics. Collected papers of the conference on nonlinear evolution equations and related topics, Tokyo, Japan, October 10–12, 2009, the 4th Polish-Japanese days on current advances in applied nonlinear analysis and mathematical modelling issues, Warsaw, Poland, May 18–21, 2009 and the RIMS conference on nonlinear evolution equations and mathematical modeling, Kyoto, Japan, October 20–24, 2009. Tokyo: Gakkōtosho (ISBN 978-4-7625-0457-0/hbk). GAKUTO International Series. Mathematical Sciences and Applications 32, 389-403 (2010).
Reviewer: Dumitru Motreanu (Perpignan)
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