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The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture, driven by a remotely applied load, is assumed to…

Classical Physics · Physics 2019-12-13 A. Piccolroaz , N. Gorbushin , G. S. Mishuris , M. J. Nieves

This paper investigates the optimization of 2D and 3D composite structures using machine learning (ML) techniques, focusing on fracture toughness and crack propagation in the Double Cantilever Beam (DCB) test. By exploring the intricate…

Materials Science · Physics 2024-06-25 Mohammad Naqizadeh Jahromi , Mohammad Ravandi

The propagation of cracks driven by a pressurized fluid emerges in several areas of engineering, including structural, geotechnical, and petroleum engineering. We present a robust numerical framework to simulate fluid-driven fracture…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Bianca Giovanardi , Santiago Serebrinsky , Raul Radovitzky

We revisit the problem of the stress distribution in a frictional sandpile under gravity, equipped with a new numerical model of granular assemblies with both normal and tangential (frictional) inter-granular forces. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2016-11-30 H. George E. Hentschel , Prabhat K. Jaiswal , Chandana Mondal , Itamar Procaccia , Jacques Zylberg

Material produced by current metal additive manufacturing processes is susceptible to variable performance due to imprecise control of internal porosity, surface roughness, and conformity to designed geometry. Using a double U-notched…

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

Disordered Systems and Neural Networks · Physics 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

Extreme mechanical processes such as strong lattice distortion and bond breakage during fracture are ubiquitous in nature and engineering, which often lead to catastrophic failure of structures. However, understanding the nucleation and…

Materials Science · Physics 2024-07-23 Pengjie Shi , Zhiping Xu

Slow crack propagation in ductile, and in certain brittle materials, appears to take place via the nucleation of voids ahead of the crack tip due to plastic yields, followed by the coalescence of these voids. Post mortem analysis of the…

Materials Science · Physics 2009-11-10 Itai Afek , Eran Bouchbinder , Eytan Katzav , Joachim Mathiesen , Itamar Procaccia

We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particles within a porous material. In this model, the macroscopic…

Analysis of PDEs · Mathematics 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean

In any domain involving some stressed solids, that is, from seismology to general engineering, the strength of matter is a paramount feature to understand. We here discuss the ability of a simple thermally activated sub-critical model, that…

We perform fracture experiments on nanoscale phase separated glasses and measure crack surface roughness by atomic force microscopy. The ability of tuning the phase domain size by thermal treatment allows us to test thoroughly the…

Other Condensed Matter · Physics 2009-05-13 Davy Dalmas , Anne Lelarge , Damien Vandembroucq

The fracture characteristics of LuPO4 rare-earth phosphate environmental barrier coating (EBC) material under molten calcium-magnesium aluminosilicate (CMAS) corrosion is quantified. EBCs are crucial for protecting SiC-based ceramic matrix…

Materials Science · Physics 2024-07-03 Subrato Sarkar , Rahul Rahul , Bishnu Pada Majee , Keith Bryce , Lucy Zhang , Liping Huang , Jie Lian , Suvranu De

The strength of quasi-brittle materials depends on the ensemble of defects inside the sample and on the way damage accumulates before failure. Using large scale numerical simulations of the random fuse model, we investigate the evolution of…

Statistical Mechanics · Physics 2015-06-16 Claudio Manzato , Mikko J. Alava , Stefano Zapperi

Cracks in clay are significant in geotechnical and geoenvironmental engineering (e.g., embankment erosion and stability of landfill cover systems). This article studies the mechanism of nucleation and growth of cracks in clay at the…

Materials Science · Physics 2022-01-19 Zhe Zhang , Xiaoyu Song

Damage nucleation from repeated dislocation absorption at a grain boundary is simulated with molecular dynamics. At the grain boundary-dislocation intersection site, atomic shuffling events determine how the free volume brought by the…

Materials Science · Physics 2014-08-26 Zhiliang Pan , Timothy J. Rupert

Fracture is a ubiquitous phenomenon in most composite engineering structures, and is often the responsible mechanism for catastrophic failure. Over the past several decades, many approaches have emerged to model and predict crack failure.…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Vinamra Agrawal , Brandon Runnels

Insight into the blockage vulnerability of evolving spatial networks is important for understanding transport resilience, robustness, and failure of a broad class of real-world structures such as porous media and utility, urban traffic, and…

Soft Condensed Matter · Physics 2024-10-21 Ali Molavi , Hossein Hamzehpour , Reza Shaebani

We develop a numerical methodology for the calculation of mode-I R-curves of brittle and elastoplastic lattice materials, and unveil the impact of lattice topology, relative density and constituent material behavior on the toughening…

Materials Science · Physics 2020-03-18 Meng-Ting Hsieh , Vikram S. Deshpande , Lorenzo Valdevit

Due to its computational robustness and versatility, the phase field fracture model has become the preferred tool for predicting a wide range of cracking phenomena. However, in its conventional form, its intrinsic tension-compression…

Materials Science · Physics 2022-08-23 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda
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