Effective resistances and Kirchhoff index in subdivision networks [PDF]
We define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network.
Carmona Mejías, Ángeles +2 more
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Effects of finite strains in fully coupled 3D geomechanical simulations [PDF]
Numerical modeling of geomechanical phenomena and geo-engineering problems often involves complex issues related to several variables and corresponding coupling effects.
De Marchi, Nico +2 more
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Non-unitarisable representations and random forests [PDF]
We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely ...
Epstein, Inessa, Monod, Nicolas
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Nordhaus-Gaddum-Type Results for Resistance Distance-Based Graph Invariants
Two decades ago, resistance distance was introduced to characterize “chemical distance” in (molecular) graphs. In this paper, we consider three resistance distance-based graph invariants, namely, the Kirchhoff index, the additive degree-Kirchhoff index ...
Das Kinkar Ch., Yang Yujun, Xu Kexiang
doaj +1 more source
A mathematical framework for finite strain elastoplastic consolidation. Part 1: Balance laws, variational formulation, and linearization [PDF]
A mathematical formulation for finite strain elasto plastic consolidation of fully saturated soil media is presented. Strong and weak forms of the boundary-value problem are derived using both the material and spatial descriptions.
Alarcón Álvarez, Enrique +1 more
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A finite strain thermo-mechanically coupled material model for semi-crystalline polymers [PDF]
In this work, a thermo-mechanically coupled constitutive model for semicrystalline polymers is derived in a thermodynamically consistent manner. In general, the macroscopic material behaviour of this class of materials is dictated by the underlying ...
Felder, Sebastian +6 more
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Fast Computation of Fourier Integral Operators [PDF]
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations.
Candes, Emmanuel +2 more
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On rate-dependent dissipation effects in electro-elasticity [PDF]
This paper deals with the mathematical modelling of large strain electro-viscoelastic deformations in electro-active polymers. Energy dissipation is assumed to occur due to mechanical viscoelasticity of the polymer as well as due to time-dependent ...
Saxena, Prashant +2 more
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A simplified approach to quantitative coded aperture X-ray phase imaging [PDF]
We recently demonstrated how quantitative X-ray phase contrast imaging may be performed with laboratory sources using the coded aperture technique. This technique required the knowledge of system parameters such as, for example, the source focal spot ...
Hagen, CK +3 more
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Kirchhoff Index As a Measure of Edge Centrality in Weighted Networks: Nearly Linear Time Algorithms
Most previous work of centralities focuses on metrics of vertex importance and methods for identifying powerful vertices, while related work for edges is much lesser, especially for weighted networks, due to the computational challenge. In this paper, we
Li, Huan, Zhang, Zhongzhi
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