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We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

Applied Physics · Physics 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

Dynamic crack propagation drives catastrophic solid failures. In many amorphous brittle materials, sufficiently fast crack growth involves small-scale, high-frequency microcracking damage localized near the crack tip. The ultra-fast…

Materials Science · Physics 2012-03-30 Claudia Guerra , Julien Scheibert , Daniel Bonamy , Davy Dalmas

A nonlocal model of peridynamic type for dynamic brittle damage is introduced consisting of two phases, one elastic and the other inelastic. Evolution from the elastic to the inelastic phase depends on material strength. Existence and…

Analysis of PDEs · Mathematics 2024-04-02 Robert P. Lipton , Debdeep Bhattacharya

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

Materials Science · Physics 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

The efficiency of thermal pressurisation as a dynamic weakening mechanism relies on the thermal and hydraulic properties of the rocks forming the fault core. Here, we assess the effectiveness of thermal pressurisation by comparing…

Geophysics · Physics 2019-01-03 Nicolas Brantut , Thomas M. Mitchell

The brittle fragmentation of spheres is studied numerically by a 3D Discrete Element Model. Large scale computer simulations are performed with models that consist of agglomerates of many spherical particles, interconnected by beam-truss…

Materials Science · Physics 2015-09-04 Falk K. Wittel , Humberto A. Carmona , Ferenc Kun , Hans J. Herrmann

Shear strain localization refers to the phenomenon of accumulation of material deformation in narrow slip zones. Many materials exhibit strain localization under different spatial and temporal scales, particularly rocks, metals, soils, and…

Geophysics · Physics 2023-05-04 Yury Alkhimenkov , Lyudmila Khakimova , Ivan Utkin , Yury Podladchikov

Our research objective is to understand the influence of geochemistry on the fracture behavior of organic-rich shale at multiple length-scales. Despite an increasing focus on the fracture behavior of organic-rich shale, the relationships…

Materials Science · Physics 2018-11-27 Ange-Therese Akono , Pooyan Kabir

Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness, dissipative mechanisms present in the bulk material and…

Materials Science · Physics 2023-11-27 Franz Dammaß , Karl A. Kalina , Marreddy Ambati , Markus Kästner

In this paper, we'll hunt for ordered crystal structures that may be stable, and that would explain the brittleness of electrical steel. I.e we wish to find crystals with negative formation energy, if it turns out that these structures are…

Materials Science · Physics 2024-07-16 Arthur Adriaens , Cedric Ooms , Corentin Mergny

Ever since the very first human-made knapped tools, the control of fracture propagation in brittle materials has been a vector of technological development. Nowadays, a broad range of applications relies on crack propagation control, from…

Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state then yields plastically. Major unresolved questions concern whether any material will yield smoothly…

Statistical Mechanics · Physics 2022-11-23 Joseph Pollard , Suzanne M Fielding

There is growing interest in conducting small-scale tests to gain additional insight into the fracture behaviour of components across a wide range of materials. For example, micro-scale mechanical tests inside of a microscope (\emph{in…

Computational Engineering, Finance, and Science · Computer Science 2025-06-04 C. Cui , L. Cupertino-Malheiros , Z. Xiong , E. Martínez-Pañeda

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

Computational Engineering, Finance, and Science · Computer Science 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

Stress-strain plots based on nanoindentation load-depth curves reflected cracking phenomenon. A transition from ductile to brittle fracture was observed on increasing the depth or load of indenter penetration. A new approach with shape…

Materials Science · Physics 2018-03-26 A. S. Bhattacharyya , S Priyadarshi , S. Sonu , S. Shivam , S. Anshu

Brittle-ductile transition (BDT) is an important characteristic of amorphous (and semicrystalline) polymers. For a given strain rate, at temperatures above BDT, the polymers exhibit strain softening followed by yield and strain hardening,…

Soft Condensed Matter · Physics 2026-05-07 Valeriy V. Ginzburg , Oleg Gendelman , Alessio Zaccone

The common notion suggests that metallic glasses (MGs) are a homogeneous solid at the macroscopic scale; however, recent experiments and simulations indicate that MGs contain nano-scale elastic heterogeneities. Despite the fundamental…

Materials Science · Physics 2019-09-27 B. A. Sun , Y. C. Hu , D. P. Wang , P. Wen , W. H. Wang , C. T. Liu , Y. Yang

Froth flotation predominantly separates particles according to their differences in wettability. However, other particle properties such as size, shape or density significantly influence the separation outcome as well. Froth flotation is…

Materials Science · Physics 2024-01-24 Johanna Sygusch , Thomas Wilhelm , Orkun Furat , Kai Bachmann , Volker Schmidt , Martin Rudolph

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

Materials Science · Physics 2020-04-22 Amit Acharya

Linear Elastic Fracture Mechanics (LEFM) provides a consistent framework to evaluate quantitatively the energy flux released to the tip of a growing crack. Still, the way in which the crack selects its velocity in response to this energy…

Materials Science · Physics 2016-02-26 Davy Dalmas , Claudia Guerra , Julien Scheibert , Daniel Bonamy
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