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We describe a new phenomenon in models of coalescence and fragmentation, that of gel-shatter cycles. These are dynamical, unforced, stochastic cycles in which slow, approximately deterministic coalescence up to and beyond gelation is…

动力系统 · 数学 2021-05-26 Brennen T. Fagan , Niall J. MacKay , Dmitri O. Pushkin , A. Jamie Wood

The problem of dynamic symmetric branching of an initial single brittle crack propagating at a given speed under plane loading conditions is studied within a continuum mechanics approach. Griffith's energy criterion and the principle of…

材料科学 · 物理学 2007-05-23 E. Katzav , M. Adda-Bedia , R. Arias

We study the genesis and the selective propagation of complex crack networks induced by thermal shock or drying of brittle materials. We use a quasi-static gradient damage model to perform large scale numerical simulations showing that the…

材料科学 · 物理学 2022-03-10 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Paul Sicsic

A droplet of surfactant spreading on an ultrasoft ($E \lesssim 100$ Pa) gel substrate will produce capillary fractures at the gel surface; these fractures originate at the contact-line and propagate outwards in a starburst pattern. There is…

软凝聚态物质 · 物理学 2016-08-24 Marion Grzelka , Joshua B. Bostwick , Karen E. Daniels

This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

数值分析 · 数学 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

The relevant parameters at the microstructure scale that govern the macroscopic toughness of disordered brittle materials are investigated theoretically. We focus on planar crack propagation and describe the front evolution as the…

无序系统与神经网络 · 物理学 2014-02-25 Vincent Démery , Laurent Ponson , Alberto Rosso

We formulate a minimal ansatz for local stress distribution in a solid that includes the possibility of strongly anharmonic short-length motions. We discover a broken-symmetry metastable phase that exhibits an aperiodic, frozen-in stress…

无序系统与神经网络 · 物理学 2014-10-21 Dmytro Bevzenko , Vassiliy Lubchenko

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

软凝聚态物质 · 物理学 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

Prediction of hydrogen embrittlement requires a robust modelling approach and this will foster the safe adoption of hydrogen as a clean energy vector. A generalised computational model for hydrogen embrittlement is here presented, based on…

计算工程、金融与科学 · 计算机科学 2025-03-04 A. Díaz , J. M. Alegre , I. I. Cuesta , E. Martínez-Pañeda

Charged colloidal crystals exhibit a subtle interplay between electrostatic screening and elastic deformation. In an anisotropic elastic medium the coupling between dilation and the local ionic environment becomes direction dependent,…

软凝聚态物质 · 物理学 2026-04-21 Hao Wu , Zhong-Can Ou-Yang

We provide a clear energetic insight into the catastrophic nature of the so-called creasing and pull-in instabilities in soft electro-active elastomers. These phenomena are ubiquitous for thin electro-elastic plates and are a major obstacle…

软凝聚态物质 · 物理学 2017-02-22 Giuseppe Zurlo , Michel Destrade , Domenico DeTommasi , Giuseppe Puglisi

Cell crawling requires the generation of intracellular forces by the cytoskeleton and their transmission to an extracellular substrate through specific adhesion molecules. Crawling cells show many features of excitable systems, such as…

生物物理 · 物理学 2020-06-02 Pierre Sens

Griffith's energetic criterion, or `energy balance', has for a century formed the basis for fracture mechanics; the energy flowing into a crack front is precisely balanced by the dissipation (fracture energy) at the front. If the crack…

软凝聚态物质 · 物理学 2022-02-09 Meng Wang , Mokhtar Adda-Bedia , John M. Kolinski , Jay Fineberg

A new model is presented to predict hydrogen-assisted fatigue. The model combines a phase field description of fracture and fatigue, stress-assisted hydrogen diffusion, and a toughness degradation formulation with cyclic and hydrogen…

计算工程、金融与科学 · 计算机科学 2024-05-21 C. Cui , P. Bortot , M. Ortolani , E. Martínez-Pañeda

Dynamic fracture experiments were performed in PMMA over a wide range of velocities and reveal that the fracture energy exhibits an abrupt 3-folds increase from its value at crack initiation at a well-defined critical velocity, below the…

经典物理 · 物理学 2010-02-15 Julien Scheibert , Claudia Guerra , Fabrice Célarié , Davy Dalmas , Daniel Bonamy

Fracture in a disordered lattice system is studied. In our system, particles are initially arranged on the triangular lattice and each nearest-neighbor pair is connected with a randomly chosen soft or hard Hookean spring. Every spring has…

软凝聚态物质 · 物理学 2013-05-29 Chiyori Urabe , Shinji Takesue

The crux of the present study is to analyze the Mode I crack propagation behavior in a pre-stressed monoclinic crystalline strip of finite thickness and infinite extent. The investigation focuses on the effects of collinear Griffith cracks…

材料科学 · 物理学 2025-04-25 Diksha , Soniya Chaudhary , Pawan Kumar Sharma

Modeling hydrogen embrittlement (HE) is a long-standing engineering challenge, which has experienced significant developments in recent years. Yet, there is a gap in modeling the effect of the kinetics of hydrogen segregation at…

材料科学 · 物理学 2026-04-08 Abdelrahman Hussein , Yann Charles , Jukka Kömi , Vahid Javaheri

Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies in the form of wrinkling, folding, and creasing. The current work focusses on the mechanics behind growth-induced wrinkling instabilities in…

斑图形成与孤子 · 物理学 2022-06-28 Sumit Mehta , Gangadharan Raju , Prashant Saxena

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

统计力学 · 物理学 2007-05-23 Purusattam Ray