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Textures in images can often be well modeled using self-similar processes while they may at the same time display anisotropy. The present contribution thus aims at studying jointly selfsimilarity and anisotropy by focusing on a specific…

Data Analysis, Statistics and Probability · Physics 2015-06-16 S. G. Roux , M. Clausel , B. Vedel , S. Jaffard , P. Abry

The geometrical structure of PLS shrinkages is here considered. Firstly, an explicit formula for the shrinkage vector is provided. In that expression, shrinkage factors are expressed a averages of a set of basic shrinkages that depend only…

Statistics Theory · Mathematics 2025-10-17 Paolo Foschi

Desiccation cracking in clayey soils occurs when they lose moisture, leading to an increase in their compressibility and hydraulic conductivity and hence significant reduction of soil strength. The prediction of desiccation cracking in…

Geophysics · Physics 2021-06-10 Khoa M. Tran , Ha H. Bui , Giang D. Nguyen

Understanding structure-function relationships is essential to advance the manufacturing of next-gen materials with desired properties and functionalities. Precise and rapid measurement of features like wrinkle size, droplet diameter, and…

Applied Physics · Physics 2025-05-08 André Guerra , Ziheng Wang , Samuel Mathews , Alejandro D. Rey , Kevin De France

The material properties of polycrystals are strongly affected by the evolution and coarsening of their internal grain structures. Yet, studying this process is challenging due to the complex interactions within grain boundary networks.…

Among systems that display generic scale invariance, those whose asymptotic properties are anisotropic in space (strong anisotropy, SA) have received a relatively smaller attention, specially in the context of kinetic roughening for…

Statistical Mechanics · Physics 2015-06-11 Edoardo Vivo , Matteo Nicoli , Rodolfo Cuerno

We study a theoretical model of mud cracks, that is, the fracture patterns resulting from the contraction with drying in a thin layer of a mixture of granules and water. In this model, we consider the slip on the bottom of this layer and…

patt-sol · Physics 2009-10-31 S. Kitsunezaki

A method of modelling the three-dimensional microstructure of random isotropic two-phase materials is proposed. The information required to implement the technique can be obtained from two-dimensional images of the microstructure. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts

The verification of whether small-scale turbulence is isotropic remains a grand challenge. The difficulty arises because the presence of small-scale anisotropy is tied to the dissipation tensor, whose components require the full…

Fluid Dynamics · Physics 2024-05-03 Subharthi Chowdhuri , Tirtha Banerjee

Rock formations often exhibit transversely anisotropic elastic behavior due to their layered structure. Such materials are characterized by five independent elastic constants. In the context of petroleum applications, it is often…

Geophysics · Physics 2024-07-24 E. V. Dontsov

Early age behaviour of concrete is based on complex multi-physical and multiscale phenomena. The predication of both cracking risk and residual stresses in hardened concrete structures is still a challenging task. We propose in this paper a…

Classical Physics · Physics 2008-12-18 Jihad Zreiki , Vincent Lamour , Mohend Chaouche , Micheline Moranville

Isomorphs are curves in the thermodynamic phase diagram along which structure and dynamics are invariant to a good approximation. There are two main ways to trace out isomorphs, the configurational-adiabat method and the…

Soft Condensed Matter · Physics 2023-04-21 Zahraa Sheydaafar , Jeppe C. Dyre , Thomas B. Schrøder

The soil compaction by vehicles is a major factor responsible for physical degradation of cultivated soils. Uniaxial confined compression tests are usually performed to characterise the compaction properties of soil. Two main forms of…

Geophysics · Physics 2008-12-31 Anh-Minh Tang , Yu-Jun Cui , Javad Eslami , Pauline Défossez

The sorption curve is an essential feature for the modelling of heat and mass transfer in porous building materials. Several models have been proposed in the literature to represent the amount of moisture content in the material according…

Applications · Statistics 2021-04-21 Julien Berger , Thibaut Colinart , Bruna R. Loiola , Helcio R. B. Orlande

The paper addresses the underlying source of two forms of induced anisotropy in granular materials: contact orientation anisotropy and contact force anisotropy. A rational, mathematical structure is reviewed for the manner in which fabric…

Soft Condensed Matter · Physics 2019-01-23 Matthew R. Kuhn

For 3D geometries, we consider stones (modeled as convex polyhedra) subject to weathering with planar slices of random orientation and depth successively removing material, ultimately yielding smooth and round (i.e. spherical) shapes. An…

Statistical Mechanics · Physics 2020-03-10 D. J. Priour

Changes in the extent of local concavity along with changes in surface roughness of binding sites of proteins have long been considered as useful markers to identify functional sites of proteins. However, an algorithm that describes the…

Biomolecules · Quantitative Biology 2011-11-29 Anirban Banerji

The determination of the mechanical properties of soils containing particles larger than the allowable size by standard laboratory equipment is problematic. It is indeed necessary to eliminate the coarsest fraction to carry out the tests,…

Geophysics · Physics 2020-01-06 N. Kouakou , O. Cuisinier , F. Masrouri , E. Lavallée , T. Le Borgne

We study the crushing strength of brittle materials whose internal structure (e.g., mineral particles or graining) presents a layered arrangement reminiscent of sedimentary and metamorphic rocks. Taking a discrete-element approach, we probe…

Soft Condensed Matter · Physics 2021-03-09 David Cantor , Carlos Ovalle , Emilien Azéma

We introduce a hierarchical nonparametric model for probability measures based on a multi-resolution transformation of probability distributions. The model allows a varying amount of shrinkage to be applied to data features of different…

Methodology · Statistics 2015-03-31 Li Ma