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We investigate the fragmentation process of solid materials with crystalline and amorphous phases using the discrete element method. Damage initiates inside spherical samples above the contact zone in a region where the circumferential…

The propagation path of quasistatic cracks under monotonic loading is known to be strongly influenced by the anisotropy of the fracture energy in crystalline solids or engineered materials with a regular microstructure. Such cracks…

Materials Science · Physics 2024-04-15 Xinyuan Zhai , Thomas Corre , Ataollah Mesgarnejad , Alain Karma , Veronique Lazarus

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

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase…

Numerical Analysis · Mathematics 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

Adding perforations to a continuum sheet allows new modes of deformation, and thus modifies its elastic behavior. The failure behavior of such a perforated sheet is explored, using a model experimental system: a material containing a…

Materials Science · Physics 2015-06-22 Michelle M. Driscoll

The lifetime and performance of any engineering component, from nanoscale sensors to macroscopic structures, are strongly influenced by fracture processes. Fracture itself is a highly localized event; originating at the atomic scale by bond…

Materials Science · Physics 2022-10-04 Dominik Steinberger , Inas Issa , Rachel Strobl , Peter J. Imrich , Daniel Kiener , Stefan Sandfeld

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

While we fundamentally understand the dynamics of 'simple' cracks propagating in brittle solids within perfect (homogeneous) materials, we do not understand how paths of moving cracks are determined. We experimentally study strongly…

Soft Condensed Matter · Physics 2020-10-28 Lital Rozen-Levy , John M. Kolinski , Gil Cohen , Jay Fineberg

Analytical solutions and a vast majority of numerical ones for fracture propagation in saturated porous media yield smooth behavior while experiments, field observations and a few numerical solutions reveal stepwise crack advancement and…

Computational Engineering, Finance, and Science · Computer Science 2019-02-28 C. Peruzzo , D. T. Cao , E. Milanese , P. Favia , F. Pesavento , F. Hussain , B. A. Schrefler

Fracture toughness is the material property characterizing resistance to failure. Predicting its value from the solid structure at the atomistic scale remains elusive, even in the simplest situations of brittle fracture. We report here…

Soft Condensed Matter · Physics 2024-10-30 Thuy Nguyen , Daniel Bonamy

Propagation of a fluid-driven crack in an impermeable linear elastic medium under axis-symmetric conditions is investigated in the present work. The fluid exerting the pressure inside the crack is an incompressible Newtonian one and its…

Numerical Analysis · Mathematics 2020-11-13 Francesca Fantoni , Alberto Salvadori

Understanding the nature of brittle failure in ferroelectric materials is essential, but difficult due to the complex interaction between mechanical and electrical concentrated fields near the crack tip. In this work, an extended…

Materials Science · Physics 2024-05-22 Chang Liu , Yu Tan , Yong Zhang , Zhaoyi Liu , Takahiro Shimada , Xiangyu Li , Jie Wang

We introduce a class of models based on near crack tip degradation of materials that can account for fracture growth under cyclic loads below the Griffith threshold. We incorporate the gradual degradation due to a cyclic load through a flow…

Materials Science · Physics 2019-06-26 Ataollah Mesgarnejad , Anahita Imanian , Alain Karma

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

Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and…

Phase field models are promising to tackle various fracture problems where a diffusive crack is introduced and modelled using the phase variable. Owing to the non-convexity of the energy functional, the derived partial differential…

Numerical Analysis · Mathematics 2022-12-28 Chenyi Luo

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using…

Materials Science · Physics 2009-09-01 F. Corson , M. Adda-Bedia , H. Henry , E. Katzav

Crack front waves (FWs) are dynamic objects that propagate along moving crack fronts in 3D materials. We study FW dynamics in the framework of a 3D phase-field framework that features a rate-dependent fracture energy $\Gamma(v)$ ($v$ is the…

Materials Science · Physics 2023-10-05 Sanhita Das , Yuri Lubomirsky , Eran Bouchbinder

Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda-Bedia , B. Derrida

Brittle materials subjected to thermal shocks experience strong temperature gradients that in turn give rise to mechanical stresses that can be large enough to induce fracture. This work presents a complete model for phase-field fracture…

Computational Physics · Physics 2026-02-11 Bo Zeng , John E. Dolbow