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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

Rock is a complicated material because of the inherent heterogeneity in mineral phases and composition, even when extracted from the same rock mass. The spatial variability in compositional and structural features prevent reproducible…

Geophysics · Physics 2019-09-16 Liyang Jiang , Hongkyu Yoon , Antonio Bobet , Laura J. Pyrak-Nolte

We report laboratory experiments and numerical simulations demonstrating that the anisotropic characteristics of rocks play a major role in the elongation of hydraulic fractures propagating in a plane perpendicular to bedding. Transverse…

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

An effective computational framework of an anisotropic phase field model is used to explore the effects of interface properties, effective critical energy release rates and hole shapes on the failure process of fibre-reinforced composites…

Materials Science · Physics 2022-12-06 Yuanfeng Yu , Xiaoya Zheng , Peng Li , Jinyou Xiao

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-15 Stella Brach

The goal of the current work is to explore direction-dependent damage initiation and propagation within an arbitrary anisotropic solid. In particular, we aim at developing anisotropic cohesive phase-field (PF) damage models by extending the…

Computational Engineering, Finance, and Science · Computer Science 2022-05-23 Shahed Rezaei , Ali Harandi , Tim Brepols , Stefanie Reese

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

The loading of a granular material induces anisotropies of the particle arrangement (fabric) and of the material's strength, incremental stiffness, and permeability. Thirteen measures of fabric anisotropy are developed, which are arranged…

Soft Condensed Matter · Physics 2018-12-21 Matthew R. Kuhn , WaiChing Sun , Qi Wang

Characterizing the local structural evolution is an essential step in understanding the nature of glass transition. In this work, we probe the evolution of Voronoi cell geometry in simple glass models, and find that the individual particle…

Soft Condensed Matter · Physics 2023-05-09 Huijun Zhang , Feng Liu , Yilong Han

The Voronoi model is a popular tool for studying confluent living tissues. It exhibits an anomalous glassy behavior even at very low temperatures or weak active self-propulsion, and at zero temperature the model exhibits a disordered solid…

Soft Condensed Matter · Physics 2021-09-30 D. E. P. Pinto , D. M. Sussman , M. M. Telo da Gama , N. A. M. Araujo

The exploitation of mineral resources in plateau regions is confronted with critical challenges including low blasting efficiency, excessive energy consumption,and compromised operational safety when dealing with low-temperature…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Hongbing Yu , Jiyu Wang , Xiaojun Zhang , Mingsheng Zhao

Under compressive stress, rock ``damage'' in the form of tensile microcracks is coupled to internal slip on microscopic interfaces, such as preexisting cracks and grain boundaries. In order to characterise the contribution of slip to the…

Geophysics · Physics 2022-11-23 Nicolas Brantut , Léo Petit

A new phase field model of microstructural evolution is presented that includes the effects of elastic strain energy. The model's thin interface behavior is investigated by mapping it onto a recent model developed by Echebarria et al (Phys…

Materials Science · Physics 2008-10-29 Michael Greenwood , Jeffrey J. Hoyt , Nikolas Provatas

Rock geophysical properties are widely reported to exhibit non-linear behaviours under low-stress conditions (below 10-20 MPa) before transitioning to the linear elastic stage, primarily due to the closure of microcracks and grain…

Geophysics · Physics 2025-09-16 Rui Li , Yi Yang , Wenbo Zhan , Jianhui Yang , Yingfang Zhou

We present an experimental and theoretical study of the shape of fragments generated by explosive and impact loading of closed shells. Based on high speed imaging, we have determined the fragmentation mechanism of shells. Experiments have…

Disordered Systems and Neural Networks · Physics 2011-03-28 F. Kun , F. K. Wittel , H. J. Herrmann , B. H. Kroplin , K. J. Maloy

In this paper we present a large-deformation formulation of the mechanics of remodeling. Remodeling is anelasticity with an internal constraint -- material evolutions that are mass and volume preserving. In this special class of material…

Soft Condensed Matter · Physics 2023-06-30 Aditya Kumar , Arash Yavari

Anisotropy in granular materials arises from both the internal fabric and the directionality of the stress state, yet separating these effects experimentally remains challenging. This study develops a first-order linearisation of the…

Soft Condensed Matter · Physics 2026-04-09 Mehdi Pouragha , Gertraud Medicus , Selvarajah Premnath , Siva Sivathayalan

A systematic study based on the self-consistent dynamical simulations is presented for the spontaneous evolution of an isolated thin solid droplet on a rigid substrate, which is driven by the surface drift diffusion induced by the…

Materials Science · Physics 2010-11-25 Tarik Omer Ogurtani , Aytac Celik , Ersin Emre Oren
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