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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…

数值分析 · 数学 2021-09-08 A. Stanic , B. Brank , A. Ibrahimbegovic , H. G. Matthies

Modeling the propagation of cracks at the microscopic level is fundamental to understand the effect of the microstructure on the fracture process. Nevertheless, microscopic propagation is often unstable and when using phase field fracture…

材料科学 · 物理学 2024-12-24 Pedro Aranda , Javier Segurado

We propose a full 3D benchmark problem for brittle fracture based on experiments as well as a validation in the context of phase-field models. The example consists of a series of four-point bending tests on graphite specimens with sharp…

计算工程、金融与科学 · 计算机科学 2020-04-22 Lisa Hug , Stefan Kollmannsberger , Zohar Yosibash , Ernst Rank

The propagation of cracks driven by a pressurized fluid emerges in several areas of engineering, including structural, geotechnical, and petroleum engineering. We present a robust numerical framework to simulate fluid-driven fracture…

计算工程、金融与科学 · 计算机科学 2023-07-19 Bianca Giovanardi , Santiago Serebrinsky , Raul Radovitzky

A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh cells through the mesh facets. The elastic behaviour is parametrized by the continuous…

数值分析 · 数学 2022-02-18 Frédéric Marazzato , Alexandre Ern , Laurent Monasse

In this paper, the Discontinuous Cell Method (DCM) is formulated with the objective of simulating cohesive fracture propagation and fragmentation in homogeneous solids without issues relevant to excessive mesh deformation typical of…

数值分析 · 数学 2016-08-25 Gianluca Cusatis , Roozbeh Rezakhani , Edward A. Schauffert

Failure in brittle materials under dynamic loading conditions is a result of the propagation and coalescence of microcracks. Simulating this mechanism at the continuum level is computationally expensive or, in some cases, intractable. The…

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

This work presents a finite element method for simulating dynamic processes that involve the coupled evolution of dislocation motion and crack propagation. The method numerically solves the Concurrent Atomistic-Continuum (CAC) formulation…

材料科学 · 物理学 2025-12-01 Boyang Gu , Adrian Diaz , Yang Li , Youping Chen

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is…

材料科学 · 物理学 2015-11-09 Sylvain Patinet , L Alzate , E Barthel , D Dalmas , D Vandembroucq , V Lazarus

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…

材料科学 · 物理学 2009-11-10 Itai Afek , Eran Bouchbinder , Eytan Katzav , Joachim Mathiesen , Itamar Procaccia

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

计算物理 · 物理学 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

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…

图形学 · 计算机科学 2023-03-21 James F. O'Brien , Jessica K. Hodgins

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

计算工程、金融与科学 · 计算机科学 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

材料科学 · 物理学 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

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…

材料科学 · 物理学 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

This paper presents an adaptive strategy for phase-field simulations with transition to fracture. The phase-field equations are solved only in small subdomains around crack tips to determine propagation, while an XFEM discretization is used…

计算工程、金融与科学 · 计算机科学 2020-07-28 Alba Muixí , Onofre Marco , Antonio Rodríguez-Ferran , Sonia Fernández-Méndez

Reduction of computational cost of solutions is a key issue to crack identification or crack propagation problems. One of the solution is to avoid re-meshing the domain when the crack position changes or when the crack extends. To avoid…

数值分析 · 数学 2015-02-12 Olivier Bodart , Valérie Cayol , Sébastien Court , Jonas Koko

This study suggests a fast computational method for crack propagation, which is based on the extended finite element method (X-FEM). It is well known that the X-FEM might be the most popular numerical method for crack propagation. However,…

数值分析 · 数学 2017-11-22 Zhenxing Cheng , Hu Wang

The propagation of a 3D crack in an heterogeneous material is studied using a phase field model. It is shown that in the case of randomly distributed inclusions of soft material in a matrix, the nature of the distribution has little effect…

材料科学 · 物理学 2025-03-11 Hervé Henry
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