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Using a two dimensional lattice model we investigate the crack growth under the influence of remote tensile forces as well as due to an internally applied pressure (hydraulic fracturing). For homogeneous elastic properties we present…

Condensed Matter · Physics 2008-12-18 Frank Tzschichholz

An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain measurements, the material properties are obtained by…

Optimization and Control · Mathematics 2023-03-28 Facundo N. Airaudo , Rainald Löhner , Roland Wüchner , Harbir Antil

Bayesian shrinkage methods have generated a lot of recent interest as tools for high-dimensional regression and model selection. These methods naturally facilitate tractable uncertainty quantification and incorporation of prior information.…

Computation · Statistics 2017-04-17 Bala Rajaratnam , Doug Sparks , Kshitij Khare , Liyuan Zhang

Besides the chemical constituents, it is the lattice geometry that controls the most important material properties. In many interesting compounds, the arrangement of elements leads to pronounced anisotropies, which reflect into a varying…

Strongly Correlated Electrons · Physics 2021-01-27 Benjamin Klebel , Thomas Schäfer , Alessandro Toschi , Jan M. Tomczak

We developed a method for measuring the similarity between materials, focusing on specific physical properties. The obtained information can be utilized to understand the underlying mechanisms and to support the prediction of the physical…

We introduce directional regularity, a new definition of anisotropy for multivariate functional data. Instead of taking the conventional view, which determines anisotropy as a notion of smoothness along a dimension, directional regularity…

Methodology · Statistics 2026-05-05 Omar Kassi , Sunny G. W. Wang

The permeability anisotropy that results from a shear displacement 'u' between the complementary self-affine walls of a rough fracture is investigated. Experiments in which a dyed fluid displaces a transparent one as it is radially injected…

Soft Condensed Matter · Physics 2007-05-23 H. Auradou , G. Drazer , J. P. Hulin , J. Koplik

Nonlinear plant-scale interactions controlling the soil-water balance are generally not valid at larger spatial scales due to spatial heterogeneity in rainfall and vegetation type. The relationships between spatially averaged variables are…

We investigate the down-hill creep of a layer of granular material on a slope caused by an oscillatory variation of the size of the particles. The material is modeled as an athermal two dimensional polydisperse system of soft disks under…

Soft Condensed Matter · Physics 2022-08-31 E. A. Jagla

The shear strength of cohesionless granular materials is generally attributed to the compactness or anisotropy of their microstructure. An open issue is how such compact or anisotropic microstructures, and thus the shear strength, depend on…

Soft Condensed Matter · Physics 2013-02-13 Farhang Radjai

Understanding the interplay between concurrent length scales is a fundamental issue in many problems involving friction between sliding interfaces, from tribology to the study of earthquakes and seismic faults. On the one hand, a…

Applied Physics · Physics 2022-10-21 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

This paper presents an analytical study about the behavior of arbitrary shaped and sized non-cohesive two-dimensional granular materials. Several mechanical properties and relations are unraveled by connecting micro and macro scales in an…

Geophysics · Physics 2013-02-06 Alex X. Jerves , José E. Andrade

There is no universal model for thixotropy, and comparing thixotropic effects between different fluids is a subtle yet challenging problem. We introduce a generalized (model-insensitive) framework for comparing thixotropic properties based…

Soft Condensed Matter · Physics 2023-11-28 Samya Sen , Randy H. Ewoldt

The soil-water characteristic curve (SWCC) is the most fundamental relationship in unsaturated soil mechanics, relating the amount of water in the soil to the corresponding matric suction. From experimental evidence, it is known that SWCC…

Soft Condensed Matter · Physics 2025-01-03 Reihaneh Hosseini , Krishna Kumar , Jean-Yves Delenne

With the rapidly growing number of cosmic microwave background measurements on various scales, there is real hope that the number of acceptable models for structure formation will be limited to a very few in the near future. Yet any given…

Astrophysics · Physics 2007-05-23 Wayne Hu

The idea of slicing divergences has been proven to be successful when comparing two probability measures in various machine learning applications including generative modeling, and consists in computing the expected value of a `base…

Machine Learning · Statistics 2022-01-05 Kimia Nadjahi , Alain Durmus , Lénaïc Chizat , Soheil Kolouri , Shahin Shahrampour , Umut Şimşekli

Fruits and vegetables are usually composed of exocarp and sarcocarp and they take a variety of shapes when they are ripe. Buckled and wrinkled fruits and vegetables are often observed. This work aims at establishing the geometrical…

Soft Condensed Matter · Physics 2014-12-04 Hui-Hui Dai , Yang Liu

Most of the damaging geo-hazards recorded in modern history are caused by soil swelling or expansion. Therefore, proper evaluation of a soils capacity to swell is very crucial for the achievement of a secure and safe foundation for civil…

Geophysics · Physics 2021-10-12 Eyo Eyo U , Uche Onyekpe

Granular materials often present correlations between particle size and shape due to their geological formation and mechanisms of weathering and fragmentation. It is known that particle shape strongly affects shear strength. However, the…

Soft Condensed Matter · Physics 2022-03-14 Sergio Carrasco , David Cantor , Carlos Ovalle

This paper is focused on soil subsidence of small extend and amplitude caused by tunnel boring or the collapse of underground cavities, whether natural or man-made. The impact of the movements of the ground on existing structures is…

Geophysics · Physics 2008-10-30 Matthieu Caudron , Marwan Al Heib , Fabrice Emeriault