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Configurational Forces on Elastic Line Singularities
Journal of Applied Mechanics, 2018Configurational forces acting on two-dimensional (2D) elastic line singularities are evaluated by path-independent J-, M-, and L-integrals in the framework of plane strain linear elasticity. The elastic line singularities considered in this study are the edge dislocation, the line force, the nuclei of strain, and the concentrated couple moment that are
Youjung Seo +3 more
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Singularities of the nodal set of segregated configurations
Calculus of Variations and Partial Differential Equations, 2015This study is motivated by the segregating behaviour, that is \(u_{i,\kappa} u_{j,\kappa} \to 0\) as \(\kappa \to + \infty\) (\(i\neq j\)), of uniformly bounded solutions to the singularly perturbed elliptic system \( -\Delta u_i=f_i(u_i)-\kappa u_i \sum_{j\neq i}g_{ij}(u_j),\) \(u_i\geq 0\), in an open, bounded smooth domain of \(\mathbb{R}^n\) (\(n ...
Zhang, Shan, Liu, Zuhan
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Spin configurations near singularities in micromagnetism
Physics Letters A, 1980Abstract The configurations near singularities in Heisenberg ferromagnet are found. The possibility of the existence of wall magnetic defects is predicted.
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On the singular configurations of statically determinate structures
International Journal of Mechanical Sciences, 1965Abstract This paper shows how singular configurations of statically determinate plane structures can be determined. When the structure is a linkage, such configurations entail degrees of freedom “in the small”, which make it act as a mechanism for infinitesimal motions.
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Finite-time cosmological singularities and the possible fate of the Universe
Physics Reports, 2023Supriya Pan +2 more
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