English
Related papers

Related papers: Crack arrest through branching at curved weak inte…

200 papers

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…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda-Bedia , R. Arias

We study unique continuation over an interface using a stabilized unfitted finite element method tailored to the conditional stability of the problem. The interface is approximated using an isoparametric transformation of the background…

Numerical Analysis · Mathematics 2024-08-19 Erik Burman , Janosch Preuss

We study the nucleation and development of crack patterns in thin composite fibers under tension in this work. A fiber comprises an elastic core and an outer layer of a weaker brittle material. In recent tensile experiments on such…

Numerical Analysis · Mathematics 2022-12-06 Arnav Gupta , Timothy J. Healey

In this work, the finite elements method (FEM) is used to analyse the growth of fretting cracks. FEM can be favourably used to extract the stress intensity factors in mixed mode, a typical situation for cracks growing in the vicinity of a…

Geophysics · Physics 2011-02-24 Henry Proudhon , Stéphanie Basseville

We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more…

Numerical Analysis · Mathematics 2021-09-08 A. Stanic , B. Brank , A. Ibrahimbegovic , H. G. Matthies

The thermally activated creep motion of an elastic interface weakly driven on a disordered landscape is one of the best examples of glassy universal dynamics. Its understanding has evolved over the last 30 years thanks to a fruitful…

Disordered Systems and Neural Networks · Physics 2021-03-15 Ezequiel E. Ferrero , Laura Foini , Thierry Giamarchi , Alejandro B. Kolton , Alberto Rosso

The crack onset and propagation at the fibre-matrix interface in a composite under tensile/compressive remote biaxial transverse loads is studied by a new linear elastic - (perfectly) brittle interface model. In this model the interface is…

Computational Physics · Physics 2013-11-20 V. Mantič , L. Távara , A. Blázquez , E. Graciani , F. París

The elastic energy of a bending-resistant interface depends both on its geometry and its material composition. We consider such a heterogeneous interface in the plane, modeled by a curve equipped with an additional density function. The…

Analysis of PDEs · Mathematics 2024-07-02 Anna Dall'Acqua , Gaspard Jankowiak , Leonie Langer , Fabian Rupp

Predicting when rupture occurs or cracks progress is a major challenge in numerous elds of industrial, societal and geophysical importance. It remains largely unsolved: Stress enhancement at cracks and defects, indeed, makes the macroscale…

Soft Condensed Matter · Physics 2017-11-21 Daniel Bonamy

We generalize lattice models of brittle fracture to arbitrary nonlinear force laws and study the existence of arrested semi-infinite cracks. Unlike what is seen in the discontinuous case studied to date, the range in driving displacement…

Soft Condensed Matter · Physics 2009-10-31 David A. Kessler , Herbert Levine

Induced by proteins within the cell membrane or by differential growth, heating, or swelling, spontaneous curvatures can drastically affect the morphology of thin bodies and induce mechanical instabilities. Yet, the interaction of…

Soft Condensed Matter · Physics 2018-01-31 Matteo Pezzulla , Norbert Stoop , Mark P. Steranka , Abdikhalaq J. Bade , Douglas P. Holmes

When fast cracks become unstable to microscopic branching (micro-branching), fracture no longer occurs in an effective 2D medium. We follow in-plane crack front dynamics via real-time measurements in brittle gels as micro-branching unfolds…

Materials Science · Physics 2015-05-19 Itamar Kolvin , Gil Cohen , Jay Fineberg

Cracks in thin layers are influenced by what lies beneath them. From buried craters to crocodile skin, crack patterns are found over an enormous range of length scales. Regardless of absolute size, their substrates can dramatically…

Soft Condensed Matter · Physics 2016-11-15 Pawan Nandakishore , Lucas Goehring

The topologies of existing interface elements used to discretize cohesive cracks are such that they can be used to compute the relative displacements (displacement discontinuities) of two opposing segments (in 2D) or of two opposing facets…

Materials Science · Physics 2016-04-19 M. Paggi , P. Wriggers

We present a systematic study of interface roughness and its effect on coherent dynamical processes in quantum dots. The potential due to a sharp, flat interface lifts the degeneracy of the lowest energy valleys and yields a set of valley…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dimitrie Culcer , Xuedong Hu , S. Das Sarma

Cracking is a common failure mode in asphalt concrete (AC) pavements. Many tests have been developed to characterize the fracture behavior of AC. Accurate crack detection during testing is crucial to describe AC fracture behavior. This…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Zehui Zhu , Imad L. Al-Qadi

Crack detection is an important task in computer vision. Despite impressive in-dataset performance, deep learning-based methods still struggle in generalizing to unseen domains. The thin structure property of cracks is usually overlooked by…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 Zelong Liu , Yuliang Gu , Zhichao Sun , Huachao Zhu , Xin Xiao , Bo Du , Laurent Najman , Yongchao Xu

The unbinding properties of an interface near structured wedges are investigated by discrete models with short range interactions. The calculations demonstrate that interface unbinding take place in two stages: $i$) a continuous…

Statistical Mechanics · Physics 2009-11-11 Gilberto Giugliarelli

This study has numerically investigated the effect of surface wettability on two-phase immiscible flow and dynamics of droplet pinch-off in a T-junction microchannel using finite element method. A conservative level set method (CLSM) has…

Fluid Dynamics · Physics 2022-12-01 Akepogu Venkateshwarlu , Ram Prakash Bharti

The complex behavior of drop deposition on a hydrophobic surface is considered by looking at a model problem in which the evolution of a constant-volume liquid bridge is studied as the bridge is stretched. The bridge is pinned with a fixed…

Soft Condensed Matter · Physics 2017-04-26 Bian Qian , Kenneth S. Breuer