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Physical Review D, 1990
By considering the effect of unitary transformations on the path integral for a gauge field interacting with a fermion over a suitable manifold, we generalize the Berry phase to field theory. The resulting framework is gauge invariant and offers insight into some problems.
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By considering the effect of unitary transformations on the path integral for a gauge field interacting with a fermion over a suitable manifold, we generalize the Berry phase to field theory. The resulting framework is gauge invariant and offers insight into some problems.
openaire +2 more sources
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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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 ...
openaire +1 more source
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
Phase transitions in 2D materials
Nature Reviews Materials, 2021Wenbin Li, Xiaofeng Qian, Ju Li
exaly