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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

Generalized or extended finite element methods (GFEM/XFEM) are in general badly conditioned and have numerous additional degrees of freedom (DOF) compared with the FEM because of introduction of enriched functions. In this paper, we develop…

数值分析 · 数学 2020-02-04 Qinghui Zhang , Cu Cui

The aim of this study was to check how efficient can be smoothed finite element method (FEM) for solution of the linear fracture mechanics problems. Accuracy of stress intensity factor (SIF) computation were investigated using three types…

计算工程、金融与科学 · 计算机科学 2019-03-28 I. V. Rokach

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…

软凝聚态物质 · 物理学 2025-02-25 Oran Szachter , Emmanuel Siefert , Mokhtar Adda-Bedia , Eran Sharon , Michael Moshe

This work presents concepts and algorithms for the simulation of dynamic fractures with a Lattice Boltzmann method (LBM) for linear elastic solids. This LBM has been presented previously and solves the wave equation, which is interpreted as…

计算工程、金融与科学 · 计算机科学 2023-01-11 Henning Müller , Ali Touil , Alexander Schlüter , Ralf Müller

Achieving accurate numerical results of hydrodynamic loads based on the potential-flow theory is very challenging for structures with sharp edges, due to the singular behavior of the local-flow velocities. In this paper, we introduce the…

数值分析 · 数学 2021-09-23 Ying Wang , Yanlin Shao , Jikang Chen , Hui Liang

This paper presents a hybrid modeling approach for simulating hydraulic fracture propagation in saturated porous media: ordinary state-based peridynamics is used to describe the behavior of the solid phase, including the deformation and…

In this paper, we replace the asymptotic enrichments around the crack tip in the extended finite element method (XFEM) with the semi-analytical solution obtained by the scaled boundary finite element method (SBFEM). The proposed method does…

数值分析 · 数学 2013-09-04 Sundararajan Natarajan , Chongmin Song

The eXtended Finite Element Method (XFEM) is used to solve interface problems with an unfitted mesh. We present an implementation of the XFEM in the FEM-library deal.II. The main parts of the implementation are (i) the appropriate…

数值分析 · 数学 2015-07-16 Thomas Carraro , Sven Wetterauer

A phase-field approach becomes a more popular candidate in modeling crack propagation. It uses a scalar auxiliary variable, namely a phase-field variable, to model a discontinuity zone in a continuity domain. Furthermore, the fourth-order…

计算工程、金融与科学 · 计算机科学 2022-12-15 Khuong D. Nguyen , Cuong-Le Thanh , Frank Vogel , H. Nguyen-Xuan , M. Abdel-Wahab

The analysis of wave propagation problems in linear damped media must take into account both propagation features and attenuation process. To perform accurate numerical investigations by the finite differences or finite element method, one…

经典物理 · 物理学 2009-01-26 Jean-François Semblat , J. J. Brioist

To deploy the airframe digital twin or to conduct probabilistic evaluations of the remaining life of a structural component, a (near) real-time crack-growth simulation method is critical. In this paper, a reduced-order simulation approach…

应用物理 · 物理学 2022-11-14 Xuan Zhou , Shuangxin He , Leiting Dong , Satya N. Atluri

Particle breakage due to collisional interactions plays a vital role in the development of several phenomena in science and engineering. The nonlinear collisional breakage equations (NCBEs) are a significant set of equations in this…

数值分析 · 数学 2026-04-14 Arushi Arushi , Naresh Kumar

The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitted, or extended finite element methods. The method is based…

数值分析 · 计算机科学 2019-08-20 Francesc Verdugo , Alberto F. Martín , Santiago Badia

We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolution, and the second is a smoothed indicator variable,…

数值分析 · 数学 2019-12-17 Christian Engwer , Iuliu Sorin Pop , Thomas Wick

When using the finite element method (FEM) in inverse problems, its discretization error can produce parameter estimates that are inaccurate and overconfident. The Bayesian finite element method (BFEM) provides a probabilistic model for the…

数值分析 · 数学 2026-01-26 Anne Poot , Iuri Rocha , Pierre Kerfriden , Frans van der Meer

We propose a parametric finite element method (PFEM) for efficiently solving the morphological evolution of solid-state dewetting of thin films on a flat rigid substrate in three dimensions (3D). The interface evolution of the dewetting…

计算物理 · 物理学 2020-03-03 Quan Zhao , Wei Jiang , Weizhu Bao

In social online platforms, identifying influential seed users to maximize influence spread is a crucial as it can greatly diminish the cost and efforts required for information dissemination. While effective, traditional methods for…

社会与信息网络 · 计算机科学 2025-01-03 Huyen Nguyen , Hieu Dam , Nguyen Do , Cong Tran , Cuong Pham

X-ray Fluorescence Computed Tomography(XFCT) is a prevalent experimental technique which is utilized to investigate the spatial distribution of elements in sample. The sensitivity of L-shell XFCT of some elements is lower than that of…

仪器与探测器 · 物理学 2014-04-30 Liu Long , Huang Yang , Ma Bo , Xu Qing , Yan Lingtong , Li Li , Feng Songlin , Feng Xiangqian

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

无序系统与神经网络 · 物理学 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen