Results 171 to 180 of about 8,834,308 (229)
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An explicit phase field method for brittle dynamic fracture
Computers & structures, 2019In this paper, we propose an explicit phase field model for dynamic brittle fracture. The mechanical field is integrated with a Verlet-velocity scheme, while the phase field is incremented with sub-steps at each step.
H. Ren +3 more
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Modelling distinct failure mechanisms in composite materials by a combined phase field method
, 2020A numerical computational framework that combines a phase field model (PFM) and cohesive element (CE) for modelling progressive failure in composite material is proposed.
Peng Zhang +4 more
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Phase-field methods for interfacial boundaries
Physical Review B, 1986A Landau-Ginzburg approach to an interface with finite thickness incorporates surface tension, anisotropy, curvature, and dynamics of the interface along with supercooling. Various aspects are rigorous.
, Caginalp, , Fife
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2015
The phase-field method to modeling microstructure evolution in materials is introduced in this chapter. It can be employed to model, understand, and predict complex material behaviors at meso-scale (on the order of nano- to micro-meter size), and it covers application-relevant time scales (on the order of seconds to years).
Nan Wang, Long-Qing Chen
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The phase-field method to modeling microstructure evolution in materials is introduced in this chapter. It can be employed to model, understand, and predict complex material behaviors at meso-scale (on the order of nano- to micro-meter size), and it covers application-relevant time scales (on the order of seconds to years).
Nan Wang, Long-Qing Chen
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A variational phase field method for curve smoothing
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liyong Zhu +3 more
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2006
The phase field method (PFM) can be used as an approach to dislocation dynamics simulations alternative to the line DD method discussed in Chapter 10. The degrees of freedom in PFM are continuous smooth fields occupying the entire simulation volume, and dislocations are identified with locations where the field values change rapidly.
Vasily Bulatov, Wei Cai
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The phase field method (PFM) can be used as an approach to dislocation dynamics simulations alternative to the line DD method discussed in Chapter 10. The degrees of freedom in PFM are continuous smooth fields occupying the entire simulation volume, and dislocations are identified with locations where the field values change rapidly.
Vasily Bulatov, Wei Cai
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A hybrid adaptive finite element phase‐field method for quasi‐static and dynamic brittle fracture
International Journal for Numerical Methods in Engineering, 2019The phase‐field approach has unique advantages in describing fracture phenomena, which has received extensive attention in the past decade. Nevertheless, the phase‐field modeling of fracture is computationally demanding, due to the high temporal‐spatial ...
Fucheng Tian +4 more
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Engineering Fracture Mechanics, 2019
An adaptive phase field method is proposed for crack propagation in brittle materials under quasi-static loading. The adaptive refinement is based on the recovery type error indicator, which is combined with the quadtree decomposition.
Hirshikesh +4 more
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An adaptive phase field method is proposed for crack propagation in brittle materials under quasi-static loading. The adaptive refinement is based on the recovery type error indicator, which is combined with the quadtree decomposition.
Hirshikesh +4 more
semanticscholar +1 more source
A brief introduction to phase field method
AIP Conference Proceedings, 2010In this tutorial paper we will give a brief introduction of phase field method as a mathematical tool for describing interfaces and their motion. This method was originally developed as a model of solidification, which enabled us to simulate complicated structures like dendritic crystals easily.
Ryo Kobayashi +3 more
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A phase-field method for elastic mechanics with large deformation
Journal of Computational Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiacheng Xu, Dan Hu, Han Zhou 0006
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