Phase field crystal model simulation of transonic dislocations and mode Ⅱ crack propagationThe mobility law of an edge dislocation under high strain rates is studied using the phase field crystal model. The transonic dislocation previously accessible only by molecular dynamics method is observed. It ...
Phase fieldPolycrystalsComplex crack networksCohesive zone modelA new multi-phase-field method is developed for modeling the fracture of polycrystals at the mi-crostructural level. Inter and transgranular cracking, as well as anisotropic effects of both elasticity and preferential cleavage directions ...
The phase-field method is a powerful and versatile computational approach for modeling the evolution of microstructures and associated properties for a wide variety of physical, chemical, and biological systems. However, existing high-fidelity phase-field models are inherently computationally expensive, req...
The crack path is determined along with the displacement field by seeking the fracture path as a consequence of maximum dissipation. Additionally, this approach features a well-defined amount of fracture dissipation, which is independent of a sufficiently fine mesh and regularization length (de Borst...
This paper presents a family of phase-field models for the coupled simulation of the microstructure formation and evolution, and the nucleation and propaga
Phase-field method (PFM) has become a mainstream computational method for predicting the evolution of nano and mesoscopic microstructures and properties during materials processes. The paper briefly reviews latest progresses in applying PFM to understanding the thermodynamic driving forces and mechanisms unde...
coarsening,domain evolution in thin(lms)pattern formation on surfaces,dislocation microstructures,crack propagation,and electromigration. INTRODUCTION Microstructures are compositional and structural inhomogeneities that arise dur-ing processing of materials.Microstructure evolution is common in many,elds including ...
The phase-field method is a popular modeling technique used to describe the dynamics of microstructures and their physical properties at the mesoscale. However, because in these simulations the microstructure is described by a system of continuous variables evolving both in space and time, phase-field...
The model is flexible and can be applied to simulate various phenomena, for instances, epitaxial growth, material hardness, grain growth, reconstructive phase transitions, and crack propagations. From the numerical point of view, to solve the phase field system, it is especially desirable to ...
When the above procedure is followed, there is no tendency for the crystals to crack. The grown crystal may be mounted and sliced lengthwise with a diamond saw so as to obtain optical samples therefrom. An alternative method for doping lithium niobate with iron or manganese is to evaporate a...