arXiv subjects

Alfonso H. W. Ngan

Publications and source records attributed to Alfonso H. W. Ngan.

4 recordsLinked to original sources

arXiv2025

A Mesoscale Model for Interface-Mediated Plasticity: Investigation of Ductile and Brittle Fracture

The presence of interfaces and grain boundaries significantly impacts the mechanical properties of materials, particularly when dealing with micro- or nano-scale samples. Distinct interactions between dislocations and grain boundaries can lead to entirely different overall plastic deformation characteristics. This paper employs a two-dimensional continuum dislocation dynamics model to investigate the mechanical properties of materials. To accurately depict the physical interactions between lattice dislocations and interfaces/grain boundaries, we apply a mesoscale interface boundary condition, considering various numerical cases, such as single and multiple slip systems. Apart from affecting strength and ductility, the accumulation of dislocations near the interface can induce local high stress, potentially resulting in brittle fracture near the interface. Consequently, materials experience a competition between ductile and brittle fracture modes during the loading process. A phenomenon known as the strain hardening rate up-turn is also investigated under different reaction constants, which can be explained by the competition between the rates of dislocation accumulation and reaction at the interface.

cond-mat.mtrl-sci↗

arXiv2023

A threshold dislocation dynamics method

The Merriman-Bence-Osher threshold dynamics method is an efficient algorithm to simulate the motion by mean curvature. It has the advantages of being easy to implement and with high efficiency. In this paper, we propose a threshold dynamics method for dislocation dynamics in a slip plane, in which the spatial operator is essentially an anisotropic fractional Laplacian. We show that this threshold dislocation dynamics method is able to give { two correct leading orders} in dislocation velocity, including both the $O(\log\varepsilon)$ local curvature force and the $O(1)$ nonlocal force due to the long-range stress field generated by the dislocations as well as the force due to the applied stress, where $\varepsilon$ is the dislocation core size, { if the time step is set to be $Δt=\varepsilon$. This generalizes the available result of threshold dynamics with the corresponding fractional Laplacian, which is on the leading order $O(\logΔt)$ local curvature velocity under the isotropic kernel.} We also propose a numerical method based on spatial variable stretching to correct the mobility and to rescale the velocity for efficient and accurate simulations, which can be applied generally to any threshold dynamics method. We validate the proposed threshold dislocation dynamics method by numerical simulations of various motions and interaction of dislocations.

math.NA↗

arXiv2023

Application of Rigorous Interface Boundary Conditions in Mesoscale Plasticity Simulations

The interactions between dislocations and interface/grain boundaries, including dislocation absorption, transmission, and reflection, have garnered significant attention from the research community for their impact on the mechanical properties of materials. However, the traditional approaches used to simulate grain boundaries lack physical fidelity and are often incompatible across different simulation methods. We review a new mesoscale interface boundary condition based on Burgers vector conservation and kinetic dislocation reaction processes. The main focus of the paper is to demonstrate how to unify this boundary condition with different plasticity simulation approaches such as the crystal plasticity finite element, continuum dislocation dynamics, and discrete dislocation dynamics methods. To validate our interface boundary condition, we implemented simulations using both the crystal plasticity finite element method and a two-dimensional continuum dislocation dynamics model. Our results show that our compact and physically realistic interface boundary condition can be easily integrated into multiscale simulation methods and yield novel results consistent with experimental observations.

physics.app-ph↗

arXiv2023

Mesoscale Description of Interface-Mediated Plasticity

Dislocation-interface interactions dictate the mechanical properties of polycrystalline materials through dislocation absorption, emission and reflection and interface sliding. We derive a mesoscale interface boundary condition to describe these, based on bicrystallography and Burgers vector reaction/conservation. The proposed interface boundary condition is built upon Burgers vector reaction kinetics and is applicable to any type of interfaces in crystalline materials with any number of slip systems. This approach is applied to predict slip transfer for any crystalline interface and stress state; comparisons are made to widely-applied empirical methods. The results are directly applicable to many existing dislocation plasticity simulation methods.

cond-mat.mtrl-sci↗