Results 201 to 210 of about 1,331,680 (246)
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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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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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Layered Phase Field Approach to Shells
2020Fracture is one of the most commonly encountered failure modes of engineering materials and structures. Prevention of cracking-induced failure is, therefore, essential to save lives and contain costs and should be considered a social commitment. However, the understanding of nucleation and propagation of complex crack patterns in real structures is ...
Brunetti M., Freddi F., Sacco E.
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2005
The phase-field method is a powerful simulation tool to describe xxx the complex evolution of interfaces in a wide range of contexts without explicitly tracking these interfaces. Its main application to date has been to problems in materials science where the evolution of interfaces and defects in the interior or on the surface of a material has a ...
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The phase-field method is a powerful simulation tool to describe xxx the complex evolution of interfaces in a wide range of contexts without explicitly tracking these interfaces. Its main application to date has been to problems in materials science where the evolution of interfaces and defects in the interior or on the surface of a material has a ...
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2011
The term phase field has recently become known across many fields of materials science. The meaning of phase field is the spatial and temporal order parameter field defined in a continuum-diffused interface model. By using the phase field order parameters, many types of complex microstructure changes observed in materials science are described ...
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The term phase field has recently become known across many fields of materials science. The meaning of phase field is the spatial and temporal order parameter field defined in a continuum-diffused interface model. By using the phase field order parameters, many types of complex microstructure changes observed in materials science are described ...
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Dislocation Dynamics — Phase Field
2005Dislocation, as an important category of crystal defects, is defined as a one-dimensional line (curvilinear in general) defect. It not only severely distorts the atomic arrangement in a region (called core) around the mathematical line describing its geometrical configuration, but also in a less severe manner (elastically) distorts the lattice beyond ...
Yu U. Wang +2 more
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Phase-Field Microstructure Modeling
2009Abstract This article discusses the fundamental aspects of phase-field microstructure modeling. It describes the evolution of microstructure modeling, including nucleation, growth, and coarsening. The article reviews two approaches used in the modeling nucleation of microstructure: the Langevin force approach and explicit nucleation ...
Chen Shen, Yunzhi Wang
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Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges
Progress in Materials Science, 2022Damien Tourret, Javier LLorca
exaly
From classical thermodynamics to phase-field method
Progress in Materials Science, 2022L-Q Chen, Yuhong Zhao
exaly
Generalized phase field theories
1994Abstract: "Using balance laws for microforce and energy in conjunction with constitutive equations consistent with the second law, a general phase-field theory of solidification is developed in which gradients of the order parameter enter the constitutive equations for the internal energy and the entropy.
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