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The phenomenon of arrest of an unstably-growing crack due to a curved weak interface is investigated. The weak interface can produce the deviation of the crack path, trapping the crack at the interface, leading to stable crack growth for…

Materials Science · Physics 2020-09-15 M. T. Aranda , I. G. Garcia , J. Reinoso , V. Mantic , M. Paggi

The presence of interfaces and grain boundaries significantly impacts the mechanical properties of materials, particularly when dealing with micro- or nano-scale samples. Distinct interactions between dislocations and grain boundaries can…

Materials Science · Physics 2025-05-08 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitzb , Jian Hana

Understanding phase transitions requires not only identifying order parameters but also characterizing how their correlations behave across scales. By quantifying how fluctuations at distinct spatial or temporal points are related,…

Statistical Mechanics · Physics 2025-11-27 Ismael S. S. Carrasco , Henrique A. de Lima , Fernando A. Oliveira

The stress triaxiality and the Lode angle parameter are two well established stress invariants for the characterization of damage evolution. This work assesses the limits of this tuple by using it for damage predictions in a continuum…

Computational Engineering, Finance, and Science · Computer Science 2025-02-27 K. Feike , P. Kurzeja , J. Mosler , K. Langenfeld

We study theoretically the edge fracture instability in sheared complex fluids, by means of linear stability analysis and direct nonlinear simulations. We derive an exact analytical expression for the onset of edge fracture in terms of the…

Soft Condensed Matter · Physics 2017-07-19 Ewan J. Hemingway , Halim Kusumaatmaja , Suzanne M. Fielding

This study investigates one of the central problems of dynamic fracture mechanics, namely the dependence of the instantaneous stress intensity factor (SIF) on the crack propagation velocity. For this purpose, the well-known experiments by…

Materials Science · Physics 2026-05-29 M. Ignatev , P. Weißgraeber , E. Oterkus , L. Radtke

The spontaneous nucleation of accelerating slip along slowly driven frictional interfaces is central to a broad range of geophysical, physical and engineering systems, with particularly far-reaching implications for earthquake physics. A…

Materials Science · Physics 2018-07-20 Michael Aldam , Marc Weikamp , Robert Spatschek , Efim A. Brener , Eran Bouchbinder

Fault-damage zones comprise multiscale fracture networks that may slip dynamically and interact with the main fault during earthquake rupture. Using 3D dynamic rupture simulations and scale-dependent fracture energy, we examine dynamic…

We investigate the fracture of Li-ion battery cathodic particles using a thermodynamically consistent phase-field approach that can describe arbitrarily complex crack paths and captures the full coupling between Li-ion diffusion, stress,…

Materials Science · Physics 2019-08-23 Ataollah Mesgarnejad , Alain Karma

When parameters of a dynamical system change sufficiently fast, critical transitions can take place even in the absence of bifurcations. This phenomenon is known as rate-induced tipping and has been reported in a variety of systems, from…

Chaotic Dynamics · Physics 2026-01-26 Jason Qianchuan Wang , Yi Zheng , Eduardo G. Altmann

This paper presents a modeling framework to describe the driving mechanisms of cyclic failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A variational model is devised using the energetic…

Numerical Analysis · Mathematics 2020-11-10 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Geert Degrande , Stijn François

Conforming materials to rigid substrates with Gaussian curvature --- positive for spheres and negative for saddles --- has proven a versatile tool to guide the self-assembly of defects such as scars, pleats, folds, blisters, and liquid…

Soft Condensed Matter · Physics 2017-10-03 Noah P. Mitchell , Vinzenz Koning , Vincenzo Vitelli , William T. M. Irvine

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

Materials Science · Physics 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

Rapid progress in additive manufacturing methods has created a new class of ultralight and strong architected metamaterials that resemble periodic truss structures. The mechanical performance of these metamaterials with a very large number…

Materials Science · Physics 2021-06-09 Angkur Jyoti Dipanka Shaikeea , Huachen Cui , Mark R. O'Masta , Xiaoyu , Zheng , Vikram S. Deshpande

In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying heterogeneous structure in the discrete setting. Such…

Analysis of PDEs · Mathematics 2021-11-03 Laura Lauerbach , Stefan Neukamm , Mathias Schäffner , Anja Schlömerkemper

This paper presents an experimental study of the fretting crack nucleation threshold, expressed in terms of loading conditions, with a cylinder/plane contact. The studied material is a damage tolerant aluminium alloy widely used in the…

Materials Science · Physics 2007-10-22 Henry Proudhon , Siegfried Fouvry , Jean-Yves Buffiere

Ion-beam irradiation of an amorphizable material such as Si or Ge may lead to spontaneous pattern formation, rather than flat surfaces, for irradiation beyond some critical angle against the surface normal. It is observed experimentally…

Materials Science · Physics 2022-11-01 Tyler Evans , Scott Norris

Stress corrosion cracking (SCC) is a form of failure in metals that is present mostly in systems where humidity contact and mechanical load play a key role. Therefore, prediction of the combined effect is desired. There are models based on…

Materials Science · Physics 2021-11-10 Jorge G. Diaz

Plastically deforming crystals exhibit scale-free fluctuations that are similar to those observed in driven disordered elastic systems close to depinning, but the nature of the yielding critical point is still debated. Here, we study the…

Statistical Mechanics · Physics 2018-01-03 Markus Ovaska , Arttu Lehtinen , Mikko J. Alava , Lasse Laurson , Stefano Zapperi

Strongly anisotropic geomaterials undergo fracture under compressive loading. This paper applies a phase-field fracture model to study this fracture process. While phase-field fracture models have several advantages, they provide unphysical…