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In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive…

Computational Engineering, Finance, and Science · Computer Science 2020-03-11 Hirshikesh , Emilio Martínez-Pañeda , Sundararajan Natarajan

The propagation front of a crack generates large strain gradients and it is therefore a strong source of gradient-induced polarization (flexoelectricity). Herein, we demonstrate that, in piezoelectric materials, a consequence of…

Materials Science · Physics 2019-04-10 Kumara Cordero-Edwards , Hoda Kianirad , Jordi Sort , Carlota Canalias , Gustau Catalan

Natural materials often feature a combination of soft and stiff phases, arranged to achieve excellent mechanical properties, such as high strength and toughness. Many natural materials have even independently evolved to have similar…

Soft Condensed Matter · Physics 2025-07-03 Chelsea Fox , Kyrillos Bastawros , Tommaso Magrini , Chiara Daraio

In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness, i.e. a propagating fractal crack reaches a terminal…

Materials Science · Physics 2010-04-28 Arash Yavari , Hamed Khezrzadeh

The dynamics of tensile crack fronts restricted to advance in a plane are studied. In an ideal linear elastic medium, a propagating mode along the crack front with a velocity slightly less than the Rayleigh wave velocity, is found to exist.…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sharad Ramanathan , Daniel S. Fisher

Stress enhancement in the vicinity of brittle cracks makes the macro-scale failure properties extremely sensitive to the micro-scale material disorder. Therefore: (i) Fracturing systems often display a jerky dynamics, so-called crackling…

Statistical Mechanics · Physics 2010-01-04 D. Bonamy

We report a novel mode of oscillatory crack propagation when a cutting tip is driven through a thin brittle polymer film. The phenomenon is so robust that it can easily be reproduced at hand (using CD packaging material for example).…

Condensed Matter · Physics 2020-07-14 Benoit Roman , Pedro M. Reis , Basile Audoly , Simon De Villiers , Vincent Viguie , Denis Vallet

We investigate interface failure of model materials representing architected thin films in contact with heterogeneous substrates. We find that, while systems with statistically isotropic distributions of impurities derive their fracture…

Materials Science · Physics 2024-05-30 Christian Greff , Paolo Moretti , Michael Zaiser

Straight cracks are observed in thin coatings under residual tensile stress, resulting into the classical network pattern observed in china crockery, old paintings or dry mud. Here, we present a novel fracture mechanism where delamination…

Soft Condensed Matter · Physics 2014-08-22 Joel Marthelot , Benoit Roman , Jose Bico , Jeremie Teisseire , Davy Dalmas , Francisco Melo

Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagation. Here for the first time we explore the path that is…

Disordered Systems and Neural Networks · Physics 2011-03-25 J. S. Andrade , E. A. Oliveira , A. A. Moreira , H. J. Herrmann

3D-printed digital materials whose mechanical behavior travels between those from thermoplastic to rubbery polymers have become increasingly important. However, their mechanical functionalities have not been fully exploited due to intrinsic…

Soft Condensed Matter · Physics 2026-03-18 Seunghwan Lee , Gisoo Lee , Seounghee Yun , Sumin Lee , Jeonyoon Lee , Hansohl Cho

We investigate the role of architected thin films in the interfacial failure properties of bi-layer composites. Our results show that, while graded structures can be used to prescribe failure at the interface, they do not offer significant…

Materials Science · Physics 2026-03-10 Christian Greff , Leon Pyka , Michael Zaiser , Paolo Moretti

We study the crackling noise emerging during single crack propagation in a specimen under three-point bending conditions. Computer simulations are carried out in the framework of a discrete element model where the specimen is discretized in…

Disordered Systems and Neural Networks · Physics 2011-04-28 Gabor Timar , Ferenc Kun

During brittle crack propagation, a smooth crack front curve frequently becomes disjoint, generating a stepped crack and a material ligament that unites the newly formed crack fronts. These universal features fundamentally alter the…

Computational Engineering, Finance, and Science · Computer Science 2025-07-30 Xinyue Wei , John M. Kolinski

Entangled networks are ubiquitous in tissues, polymers, and fabrics. However, their mechanics remain insufficiently understood due to the complexity of the topological constraints at the network level. Here, we develop a mathematical…

Soft Condensed Matter · Physics 2025-09-23 Juntao Huang , Jiabin Liu , Shaoting Lin

Atomic-scale investigation on mechanical behaviors is highly necessary to fully understand the fracture mechanics especially of brittle materials, which are determined by atomic-scale phenomena (e.g., lattice trapping). Here, exfoliated…

Materials Science · Physics 2020-12-03 Jung Hwa Kim , Xinyue Dai , Feng Ding , Zonghoon Lee

Crack growth is the basic mechanism leading to the failure of brittle materials. Engineering addresses this problem within the framework of continuum mechanics, which links deterministically the crack motion to the applied loading. Such an…

Statistical Mechanics · Physics 2018-12-26 Jonathan Barés , Daniel Bonamy

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

Mathematical Physics · Physics 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

Strengthening of materials and preventing abrupt fracture are really challenging jobs in the field of engineering and material science. Such problems can be resolved by using composite materials. In this work, we have studied the fracture…

Materials Science · Physics 2016-02-15 Subhadeep Roy , Sanchari Goswami

Multi-phase materials, such as composite materials, exhibit multiple competing failure mechanisms during the growth of a macroscopic defect. For the simulation of the overall fracture process in such materials, we develop a two-phase spring…

Statistical Mechanics · Physics 2020-12-15 Rajat Pratap Singh Parihar , Dhiwakar V. Mani , Anuradha Banerjee , R. Rajesh
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