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Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity

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0 Published in 2019 at "International Journal of Solids and Structures"

DOI: 10.1016/j.ijsolstr.2018.09.029

Abstract: Abstract Strain Gradient Elasticity (SGE) is now often used in mechanics and physics, owing to its capability to model some non-classical phenomena, such as size effects, in materials and structures. However, certain fundamental questions about… read more here.

Keywords: strain gradient; order; symmetry classes; symmetry ... See more keywords

Symmetry classes of tensors associated with certain groups

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0 Published in 2020 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2020.05.016

Abstract: Abstract For n ≥ 1 , the group U 6 n = 〈 a , b : a 2 n = b 3 = 1 , a − 1 b a = b − 1… read more here.

Keywords: classes tensors; certain groups; associated certain; symmetry classes ... See more keywords

Unified understanding of symmetry indicators for all internal symmetry classes

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0 Published in 2018 at "Physical Review B"

DOI: 10.1103/physrevb.98.115150

Abstract: The interplay between symmetry and topology in electronic band structures has been one of the central subjects in condensed-matter physics. Recently, it has been getting clear that a wide variety of useful information about the… read more here.

Keywords: understanding symmetry; unified understanding; symmetry classes; symmetry indicators ... See more keywords

Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops.

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1 Published in 2017 at "Physical Review E"

DOI: 10.1103/physreve.96.062207

Abstract: We consider two coupled quantum tops with angular momentum vectors L and M. The coupling Hamiltonian defines the Feingold-Peres model, which is a known paradigm of quantum chaos. We show that this model has a… read more here.

Keywords: nonstandard symmetry; feingold peres; class; symmetry classes ... See more keywords

Symmetry Classes and Matrix Representations of the 2D Flexoelectric Law

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1 Published in 2020 at "Symmetry"

DOI: 10.3390/sym12040674

Abstract: We determine the different symmetry classes of bi-dimensional flexoelectric tensors. Using the harmonic decomposition method, we show that there are six symmetry classes. We also provide the matrix representations of the flexoelectric tensor and of… read more here.

Keywords: representations flexoelectric; symmetry classes; flexoelectric law; symmetry ... See more keywords