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Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

Materials Science · Physics 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

We employ a recently developed model that allows the study of two-dimensional brittle crack propagation under fixed grip boundary conditions. The crack development highlights the importance of voids which appear ahead of the crack as…

Disordered Systems and Neural Networks · Physics 2015-06-12 Itamar Procaccia , Jacques Zylberg

Crack propagation is studied numerically using a continuum phase-field approach to mode III brittle fracture. The results shed light on the physics that controls the speed of accelerating cracks and the characteristic branching instability…

Materials Science · Physics 2009-11-10 Alain Karma , Alexander E. Lobkovsky

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

Materials Science · Physics 2015-05-18 R. Spatschek , E. Brener , A. Karma

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

A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are…

Materials Science · Physics 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting fragments during the breakup process. For two dimensional…

Statistical Mechanics · Physics 2009-11-11 F. P. M. dos Santos , R. Donangelo , S. R. Souza

Understanding and controlling fracture propagation is one of the most challenging engineering problems, especially in the oil and gas sector, groundwater hydrology and geothermal energy applications. Predicting the fracture orientation…

Materials Science · Physics 2023-04-04 Ramesh Kannan Kandasami , Charalampos Konstantinou , Giovanna Biscontin

We have developed a simulation technique that uses non-linear finite element analysis and elastic fracture mechanics to compute physically plausible motion for three-dimensional, solid objects as they break, crack, or tear. When these…

Graphics · Computer Science 2023-03-21 James F. O'Brien , Jessica K. Hodgins

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

We briefly review a number of important recent experimental and theoretical developments in the field of dynamic fracture. Topics include experimental validation of the equations of motion for straight tensile cracks (in both infinite media…

Materials Science · Physics 2016-02-12 Jay Fineberg , Eran Bouchbinder

Predicting crack trajectories in brittle solids remains an open challenge in fracture mechanics due to the non-local nature of crack propagation and the way cracks modify their surrounding medium. Here, we develop a framework for…

Soft Condensed Matter · Physics 2025-02-25 Oran Szachter , Emmanuel Siefert , Mokhtar Adda-Bedia , Eran Sharon , Michael Moshe

The failure of materials and interfaces is mediated by cracks, nearly singular dissipative structures that propagate at velocities approaching the speed of sound. Crack initiation and subsequent propagation -- the dynamic process of…

Materials Science · Physics 2015-06-15 Eran Bouchbinder , Tamar Goldman , Jay Fineberg

Transport properties of three-dimensional self-affine rough fractures are studied by means of an effective-medium analysis and numerical simulations using the Lattice-Boltzmann method. The numerical results show that the effective-medium…

Statistical Mechanics · Physics 2007-05-23 German Drazer , Joel Koplik

In this study, the crack propagation of the pre-cracked mono-crystal nickel with the voids and inclusions has been investigated by molecular dynamics simulations. Different sizes of voids, inclusions and materials of inclusions are used to…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Zhenxing Cheng , Hu Wang , Gui-Rong Liu , Guangyao Li

Since the turn of the millennium, capitalizing on modern advances in mathematics and computation, a slew of computational models have been proposed in the literature with the objective of describing the nucleation and propagation of…

Computational Physics · Physics 2025-07-04 Farhad Kamarei , Bo Zheng , John E. Dolbow , Oscar Lopez-Pamies

Cavitation is a common damage mechanism in soft solids. Here, we study this using a phase-separation technique in stretched, elastic solids to controllably nucleate and grow small cavities by several orders of magnitude. The ability to make…

Soft Condensed Matter · Physics 2020-05-28 Jin Young Kim , Zezhou Liu , Byung Mook Weon , Tal Cohen , Chung-Yuen Hui , Eric R. Dufresne , Robert W. Style

Highly-deformable materials, from synthetic hydrogels to biological tissues, are becoming increasingly important from both fundamental and practical perspectives. Their mechanical behaviors, in particular the dynamics of crack propagation…

Materials Science · Physics 2015-06-09 Tamar Goldman Boué , Roi Harpaz , Jay Fineberg , Eran Bouchbinder

In this paper, we augment existing techniques for simulating flexible objects to include models for crack initiation and propagation in three-dimensional volumes. By analyzing the stress tensors computed over a finite element model, the…

Graphics · Computer Science 2023-03-07 James F. O'Brien , Jessica K. Hodgins

In this work, we present crack propagation experiments evaluated by digital image correlation (DIC) for a carbon black filled ethylene propylene diene monomer rubber (EPDM) and numerical modeling with the help of variational phase-field…

Numerical Analysis · Mathematics 2021-05-03 Katrin Mang , Andreas Fehse , Nils Hendrik Kröger , Thomas Wick
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