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Compressive-shear fracture is commonly observed in rock-like materials. However, this fracture type cannot be captured by current phase field models (PFMs), which have been proven an effective tool for modeling fracture initiation,…

计算工程、金融与科学 · 计算机科学 2023-08-14 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

Phase field model (PFM) is an efficient fracture modeling method and has high potential for hydraulic fracturing (HF). However, the current PFMs in HF do not consider well the effect of in-situ stress field and the numerical examples of…

计算工程、金融与科学 · 计算机科学 2023-09-18 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

The phase field model is a widely used mathematical approach for describing crack propagation in continuum damage fractures. In the context of phase field fracture simulations, adaptive finite element methods (AFEM) are often employed to…

数值分析 · 数学 2025-05-30 Tian Tian , Chen Chunyu , He Liang , Wei Huayi

This study evaluates four widely used fracture simulation methods, comparing their computational expenses and implementation complexities within the Finite Element (FE) framework when employed on heterogeneous solids. Fracture methods…

计算工程、金融与科学 · 计算机科学 2024-11-19 Rasoul Najafi Koopas , Shahed Rezaei , Natalie Rauter , Richard Ostwald , Rolf Lammering

Finite element analysis is one of the most used tool for studying femoral neck fracture. Nerveless, consensus concerning either the choice of material characteristics, damage law and /or geometric models (linear on nonlinear) still remains…

The difficulties in dealing with discontinuities related to a sharp crack are overcome in the phase-field approach for fracture by modeling the crack as a diffusive object being described by a continuous field having high gradients. The…

计算工程、金融与科学 · 计算机科学 2023-12-05 Sindhu Nagaraja , Mohamed Elhaddad , Marreddy Ambati , Stefan Kollmannsberger , Laura De Lorenzis , Ernst Rank

This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fields is established according to the classical Biot…

地球物理 · 物理学 2023-09-11 Shuwei Zhou , Xiaoying Zhuang

This work presents the Griffith-type phase-field formation at large deformation in the framework of adaptive edge-based smoothed finite element method (ES-FEM) for the first time. Therein the phase-field modeling of fractures has attracted…

数值分析 · 数学 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated…

地球物理 · 物理学 2023-09-11 X. Zhuang , S. Zhou , G. D. Huynh , P. Areias , T. Rabczuk

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

机器学习 · 计算机科学 2025-10-01 Erfan Hamdi , Emma Lejeune

The favored phase field method (PFM) has encountered challenges in the finite strain fracture modeling of nearly or truly incompressible hyperelastic materials. We identified that the underlying cause lies in the innate contradiction…

数值分析 · 数学 2022-05-04 Fucheng Tian , Jun Zeng , Mengnan Zhang , Liangbin Li

The phase field paradigm, in combination with a suitable variational structure, has opened a path for using Griffith's energy balance to predict the fracture of solids. These so-called phase field fracture methods have gained significant…

计算工程、金融与科学 · 计算机科学 2022-03-08 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

This study presents an adaptive coupling peridynamic least-square minimization with the finite element method (PDLSM-FEM) for fracture analysis. The presented method utilizes the PDLSM modeling discontinuities while maximizing the FEM…

数值分析 · 数学 2022-06-22 Qibang Liu , X. J. Xin , Jeff Ma

The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of…

数值分析 · 计算机科学 2019-03-21 Hai D. Huynh , Phuong Tran , Xiaoying Zhuang , H. Nguyen-Xuan

Fracture is a ubiquitous phenomenon in most composite engineering structures, and is often the responsible mechanism for catastrophic failure. Over the past several decades, many approaches have emerged to model and predict crack failure.…

介观与纳米尺度物理 · 物理学 2025-06-06 Vinamra Agrawal , Brandon Runnels

The Brazilian splitting test is a widely used testing procedure for characterizing the tensile strength of natural rock or rock-like material due to the fact. However, the results of Brazilian tests on specimens with naturally existing…

地球物理 · 物理学 2023-09-11 Shuwei Zhou , Xiaoying Zhuang , Jiaming Zhou , Fang Liu

Hip fracture risk assessment is an important but challenging task. Quantitative CT-based patient specific finite element analysis (FEA) computes the force (fracture load) to break the proximal femur in a particular loading condition. It…

This article presents a novel, robust and efficient framework for fatigue crack-propagation that combines the principles of Linear Elastic Fracture Mechanics (LEFM) with phase-field fracture (PFF). Contrary to cycle-by-cycle PFF approaches,…

材料科学 · 物理学 2025-09-12 M. Castillón , I. Romero , J. Segurado

Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering applications. In fracture mechanics, the phase field…

数值分析 · 数学 2025-06-23 Md Mamun Miah , Ryuhei Wakida , Masato Kimura

This work proposes an investigation on the fracturing behavior of polymer nanocomposites. Towards this end, the study leverages on the analysis of a large bulk of fracture tests from the literature with the goal of critically investigating…

材料科学 · 物理学 2017-07-31 Yao Qiao , Cory Hage Mefford , Marco Salviato
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