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The fracture energy of brittle materials rises with crack velocity, and this effect is typically attributed to surface roughening from path instabilities. Here we show, using molecular dynamics simulations of silica glass with a…

Griffith thermodynamic energy balance is employed to analyze cleavage phenomenon from atomic level. Results show that the cleavage toughness, the strain energy release rate, and the surface energy can be defined by the bond strength (the…

Materials Science · Physics 2026-02-20 Faming Gao

The difference between free surface energy and fracture toughness in amorphous silica is studied via multi-scale simulations. We combine the homogenization of a molecular dynamics fracture model with a phase-field approach to track and…

Materials Science · Physics 2026-02-03 Gergely Molnár , Etienne Barthel

Understanding, predicting and eventually improving the resistance to fracture of silicate materials is of primary importance to design new glasses that would be tougher, while retaining their transparency. However, the atomic mechanism of…

Materials Science · Physics 2015-06-23 Yingtian Yu , Bu Wang , Young Jea Lee , Mathieu Bauchy

We present a direct calculation by molecular-dynamics computer simulation of the crystal/melt interfacial free energy, $\gamma$, for a system of hard spheres of diameter $\sigma$. The calculation is performed by thermodynamic integration…

Materials Science · Physics 2009-10-31 Ruslan L. Davidchack , Brian B. Laird

We derive sharp-interface models for one-dimensional brittle fracture via the inverse-deformation approach. Methods of Gamma-convergence are employed to obtain the singular limits of previously proposed models. The latter feature a local,…

Analysis of PDEs · Mathematics 2024-03-05 Timothy J. Healey , Roberto Paroni , Phoebus Rosakis

We compare the ability of various interaction potentials to predict the structural and mechanical properties of silica and sodium silicate glasses. While most structural quantities show a relatively mild dependence on the potential used,…

Disordered Systems and Neural Networks · Physics 2021-01-21 Zhen Zhang , Simona Ispas , Walter Kob

Dynamic fracture in a wide class of materials reveals "fracture energy" $\Gamma$ much larger than the expected nominal surface energy due to the formation of two fresh surfaces. Moreover, the fracture energy depends on the crack velocity,…

Materials Science · Physics 2009-11-11 Eran Bouchbinder , Anna Pomyalov , Itamar Procaccia

In this paper, a new method based on Greens function theory and Fourier transform analysis has been proposed for calculating band structure with high accuracy and low processing time. This method utilizes sampling of potential energy in…

Materials Science · Physics 2012-07-13 Milad Khoshnegar , Amir Hossein Hosseinia , Nima Arjmandi , Sina Khorasani

Surface/edge energy is typically modeled as a continuous function of orientation, $\gamma({\bf n})$. We put forward a simple geometric argument that suggests this picture is inadequate for crystals with a non-Bravais lattice structure. In…

Materials Science · Physics 2018-01-15 Tim Krumwiede , Tim Schulze

We use large-scale simulations to investigate the dynamic fracture of silica and sodium-silicate glasses under uniaxial tension. The stress-strain curves demonstrate that silica glass is brittle whereas the glasses rich in Na show…

Disordered Systems and Neural Networks · Physics 2023-02-15 Zhen Zhang , Simona Ispas , Walter Kob

We propose a method for the simulation of particle fragmentation based on the calculation of the energy landscape inside the particle. The landscape of strain energy is calculated in terms of internal stress using the principles of damage…

Soft Condensed Matter · Physics 2020-04-01 Yupeng Jiang , Fernando Alonso-Marroquin , Hans J Herrmann , Peter Mora

We have carried out systematic fracture experiments in a single edge notch geometry over a range of stretch rates on dual crosslink hydrogels made from polyvinyl alcohol chains chemically crosslinked with glutaraldehyde and physically…

Soft Condensed Matter · Physics 2016-06-30 Koichi Mayumi , Jingyi Guo , Tetsuharu Narita , Chung Yuen , Costantino Creton

Glasses are amorphous solids whose constituent particles are caged by their neighbors and thus cannot flow. This sluggishness is often ascribed to the free energy landscape containing multiple minima (basins) separated by high barriers.…

Disordered Systems and Neural Networks · Physics 2014-04-29 Patrick Charbonneau , Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We calculate the naive defect energy $\Delta E$ of Ising spin glass(SG) models in two dimensions using conjugate boundary conditions. We predict that, in the $\pm J$ model, the averaged value $\bar{\Delta E}$ converges to some non-zero…

Disordered Systems and Neural Networks · Physics 2009-10-31 Fumitaka Matsubara , Takayuki Shirakura , Michinori Siomi

Fracture toughness is a critical mechanical property of glasses, but a detailed understanding of its link to composition and structure is still missing. Here, focusing on the industrially important family of calcium aluminosilicate glasses,…

Establishing the composition-structure-property relationships for amorphous materials is critical for many important natural and engineering processes, including the dissolution of highly complex volcanic glasses. In this investigation, we…

Materials Science · Physics 2021-08-02 Kai Gong , Elsa Olivetti

The strengths of glasses are intricately linked to their atomic-level heterogeneity. Atomistic simulations are frequently used to investigate the statistical physics of this relationship, compensating for the limited spatiotemporal…

Materials Science · Physics 2024-08-13 Pengjie Shi , Zhiping Xu

We investigate connections between the continuum and atomistic descriptions of deformable crystals, using certain interesting results from number theory. The energy of a deformed crystal is calculated in the context of a lattice model with…

Mathematical Physics · Physics 2020-07-02 Phoebus Rosakis

The initial energy density produced in an ultrarelativistic heavy ion collision can, in the color glass condensate framework, be factorized into a product of the integrated gluon distributions of the nuclei. Although this energy density is…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Lappi
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