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Antisymmetric relation

About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.


Papers
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Journal ArticleDOI
TL;DR: In this article, a detailed account of plane incremental vibrations of a rectangular plate of incompressible isotropic elastic material subject to an underlying homogeneous pure strain is given. And the emergence of quasi-static modes of deformation, corresponding to zero frequency, is accorded special attention.

60 citations

Journal ArticleDOI
TL;DR: In this paper, the extended J-integral for 3D linear elastostatic crack problems and its application to mixed mode problems is investigated, and the range of validity of the decomposition method is also discussed in the framework of linear elastic fracture mechanics.
Abstract: The extended J-integral for 3D linear elastostatic crack problems and its application to mixed mode problems is investigated. In 3D, the decomposition of the J-integral into its parts corresponding to the symmetric mode I and both antisymmetric modes II and III is derived explicitly. The range of validity of the decomposition method is also discussed in the framework of linear elastic fracture mechanics (LEFM). It is shown analytically that in a general mixed mode case the antisymmetric part of the J-integral can be split into the parts associated with mode II and mode III only in the crack near-field.

60 citations

Journal ArticleDOI
TL;DR: In this paper, the authors consider Lorentz invariant scalar-tensor teleparallel gravity theories with a Lagrangian built from the torsion scalar, a scalar field, its kinetic term and a derivative coupling between the Torsion and the scalar fields.
Abstract: We consider Lorentz invariant scalar-tensor teleparallel gravity theories with a Lagrangian built from the torsion scalar, a scalar field, its kinetic term and a derivative coupling between the torsion and the scalar field. The field equations of the theory are derived and the relation between the spin connection and the antisymmetric part of the tetrad field equations is found explicitly, which is an important consistency result for Lorentz invariant teleparallel theories of gravity. Afterwards we study the behavior of this class of theories under conformal transformations and find that such transformations map different theories in this class onto each other.

60 citations

Journal Article
TL;DR: In this paper, a multidimensional model with one curved factor space and n Ricci-flat internal spaces is considered, with arbitrary numbers of dilatonic scalar fields and antisymmetric forms of both electric and magnetic types associated with p-branes in theories like M-theory.
Abstract: A multidimensional model with (at most) one curved factor space and n Ricci-flat internal spaces is considered, with arbitrary numbers of dilatonic scalar fields and antisymmetric forms of both electric and magnetic types, associated with p-branes in theories like M-theory. The problem setting covers, in particular, homogeneous cosmologies, static, spherically symmetric and Euclidean models. Exact solutions are obtained when the p-brane dimensions and the dilatonic couplings obey orthogonality conditions in minisuperspace. Conditions for black hole and wormhole existence among static models are formulated. For black holes, a kind of no-hair theorem, leading to F-form selection, is obtained; it is shown that even in spaces with multiple times a black hole may only exist with its unique, one-dimensional time; infinite Hawking temperature is explicitly shown to imply a curvature singularity at an assumed horizon, and such cases among extreme black-hole solutions are indicated.

60 citations

Journal ArticleDOI
TL;DR: In this paper, a full-scale experimental investigation into the strength and behaviour of prestressed steel stayed columns in compression has been conducted, including full load versus end-shortening curves, for a total of 18 test specimens.

60 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023145
2022286
2021109
2020112
2019118
2018122