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We performed a set of numerical simulations to characterize the interplay of fracture network topology, upscaling, and mesh refinement on flow and transport properties in fractured porous media. We generated a set of generic…

计算工程、金融与科学 · 计算机科学 2023-02-23 Aleksandra A. Pachalieva , Matthew R. Sweeney , Hari Viswanathan , Emily Stein , Rosie Leone , Jeffrey D. Hyman

The existing theory of incompatible elastic sheets uses the deviation of the surface metric from a reference metric to define the strain tensor [Efrati et al., J. Mech. Phys. Solids {\bf 57}, 762 (2009)]. For a class of simple axisymmetric…

软凝聚态物质 · 物理学 2017-05-24 Oz Oshri , Haim Diamant

The focus of the article is on the analysis of a semi-infinite crack at the interface between two dissimilar anisotropic elastic materials, loaded by a general asymmetrical system of forces acting on the crack faces. Recently derived…

数学物理 · 物理学 2013-02-15 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

A rigid-plastic Cosserat model has been used to study dense, fully developed flow of granular materials through a vertical channel. Frictional models based on the classical continuum do not predict the occurrence of shear layers, at…

软凝聚态物质 · 物理学 2007-05-23 L. Srinivasa Mohan , Prabhu R. Nott , K. Kesava Rao

The permeability of two-dimensional fractures with self-affine fractal roughness is studied via analytic arguments and numerical simulations. The limit where the roughness amplitude is small compared with average fracture aperture is…

统计力学 · 物理学 2007-05-23 German Drazer , Joel Koplik

A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the…

mtrl-th · 物理学 2009-10-30 J. M. Rickman , Jorge Vinals

A model function relating effective stress to fracture permeability is developed from Hooke's law, implemented in the tensorial form of Darcy's law, and used to evaluate discharge rates and pressure distributions at regional scales. The…

流体动力学 · 物理学 2011-09-15 G. Preisig , F. J. Cornaton , P. Perrochet

We consider the problem of elastic diffraction tomography, which consists in reconstructing elastic properties (i.e. mass density and elastic Lam\'e parameters) of a weakly scattering medium from full-field data of scattered waves outside…

偏微分方程分析 · 数学 2022-12-07 Bochra Mejri , Otmar Scherzer

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

数值分析 · 数学 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti

The paper is concerned with the problem of a semi-infinite crack at the interface between two dissimilar elastic half-spaces, loaded by a general asymmetrical system of forces distributed along the crack faces. On the basis of the weight…

数学物理 · 物理学 2012-06-07 Andrea Piccolroaz , Gennady Mishuris

Finite element calculations of dynamic fracture based on embedding cohesive surfaces in a continuum indicate that the predictions are sensitive to the cohesive law used. Simulations were performed on a square block in plane strain with an…

材料科学 · 物理学 2007-05-23 Michael L. Falk , Alan Needleman , James R. Rice

Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture, driven by a remotely applied load, is assumed to…

经典物理 · 物理学 2019-12-13 A. Piccolroaz , N. Gorbushin , G. S. Mishuris , M. J. Nieves

The problem of a plane strain hydraulic fracture propagating in a layered formation is considered. Fracture toughness, in-situ stress, and leak-off coefficient are assumed to vary by layer, while the elastic properties are kept constant…

地球物理 · 物理学 2024-07-24 E. V. Dontsov

We study, both analytically and numerically, the dynamics of elastic boundaries such as crack fronts in fracture and surfaces of contact in solid on solid friction. The elastic waves in the solid give rise to kinks that move with a…

材料科学 · 物理学 2007-05-23 Sharad Ramanathan , Alexander Lobkovsky

The notion of a congruence of effective dislocation lines endowed with the nonvanishing local Burgers vector is introduced. Particularly, the class of congruences of principal Volterra-type effective dislocation lines associated with the…

数学物理 · 物理学 2010-03-17 Andrzej Trzesowski

The mechanical properties of crystals on curved substrates mix elastic, geometric and topological degrees of freedom. In order to elucidate the properties of such crystals we formulate the low-energy effective action that combines metric…

高能物理 - 理论 · 物理学 2024-02-26 Lazaros Tsaloukidis , José J. Fernández-Melgarejo , Javier Molina-Vilaplana , Piotr Surówka

Approximation of problems in linear elasticity having small shear modulus in a thin region is considered. Problems of this type arise when modeling ground motion due to earthquakes where rupture occurs in a thin fault. It is shown that,…

数值分析 · 数学 2024-09-25 Jing Liu , Xin Yang Lu , Noel J Walkington

We have designed a new experimental setup able to investigate fracture of soft materials at small scales. At high crack velocity, where energy is mostly dissipated through viscoelastic processes, we observe an increasingly large high strain…

软凝聚态物质 · 物理学 2015-01-08 Maxime Lefranc , Elisabeth Bouchaud

The transition from stick to slip at a dry frictional interface occurs through the breaking of the junctions between the two contacting surfaces. Typically, interactions between the junctions through the bulk lead to rupture fronts…

Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in finite samples. These general expressions are valid for anisotropic media as well. Specifically for the…

凝聚态物理 · 物理学 2017-02-08 Rodrigo Arias