A three-dimensional multiscale model of intergranular hydrogen-assisted cracking
We present a three-dimensional model of intergranular hydrogen-embrittlement (HE) that
accounts for:(i) the degradation of grain-boundary strength that arises from hydrogen …
accounts for:(i) the degradation of grain-boundary strength that arises from hydrogen …
Critical events, entropy, and the grain boundary character distribution
Mesoscale experiment and simulation permit harvesting information about both geometric
features and texture in polycrystals. The grain boundary character distribution (GBCD) is an …
features and texture in polycrystals. The grain boundary character distribution (GBCD) is an …
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective
Many technologically useful materials are polycrystals composed of small monocrystalline
grains that are separated by grain boundaries of crystallites with different lattice orientations …
grains that are separated by grain boundaries of crystallites with different lattice orientations …
[PDF][PDF] An entropy based theory of the grain boundary character distribution
Cellular networks are ubiquitous in nature. They exhibit behavior on many different length
and time scales and are generally metastable. Most technologically useful materials are …
and time scales and are generally metastable. Most technologically useful materials are …
[HTML][HTML] Statistical mechanics of normal grain growth in one dimension: A partial integro-differential equation model
FSL Ng - Acta Materialia, 2016 - Elsevier
We develop a statistical-mechanical model of one-dimensional normal grain growth that
does not require any drift-velocity parameterization for grain size, such as used in the …
does not require any drift-velocity parameterization for grain size, such as used in the …
Continuous-time random walks on bounded domains
N Burch, RB Lehoucq - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
A useful perspective to take when studying anomalous diffusion processes is that of a
continuous-time random walk and its associated generalized master equation. We derive …
continuous-time random walk and its associated generalized master equation. We derive …
Numerical analysis of the vertex models for simulating grain boundary networks
Polycrystalline materials undergoing coarsening can be represented as evolving networks
of grain boundaries, whose statistical characteristics describe macroscopic properties. The …
of grain boundaries, whose statistical characteristics describe macroscopic properties. The …
[HTML][HTML] Grain boundary diffusion in terms of the tempered fractional calculus
RT Sibatov, VV Svetukhin - Physics Letters A, 2017 - Elsevier
Mathematical treatment of grain-boundary diffusion based on the model first proposed by
Fisher is usually formulated in terms of normal diffusion equations in a two-component …
Fisher is usually formulated in terms of normal diffusion equations in a two-component …
Parameter identification and uncertainty quantification in stochastic state space models and its application to texture analysis
B Pedretscher, B Kaltenbacher, O Pfeiler - Applied Numerical Mathematics, 2019 - Elsevier
In this paper, a computational framework, which enables efficient and robust parameter
identification, as well as uncertainty quantification in state space models based on Itô …
identification, as well as uncertainty quantification in state space models based on Itô …
[PDF][PDF] Geometric growth and character development in large metastable networks
Cellular networks are ubiquitous in nature. They exhibit behavior on many different length
and time scales and are generally metastable. Most technologically useful materials are …
and time scales and are generally metastable. Most technologically useful materials are …