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The incidence of vertebral fragility fracture is increased by the presence of preexisting pathologies such as metastatic disease. Computational tools could support the fracture prediction and consequently the decision of the best medical…

计算工程、金融与科学 · 计算机科学 2024-02-16 Chiara Garavelli , Alessandra Aldieri , Marco Palanca , Enrico Dall'Ara , Marco Viceconti

The main aim of this three-part work is to provide a unified consistent framework for the phase-field modeling of cohesive fracture. In this first paper we establish the mathematical foundation of a cohesive phase-field model by proving a…

偏微分方程分析 · 数学 2025-10-13 Roberto Alessi , Francesco Colasanto , Matteo Focardi

We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

应用物理 · 物理学 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

We study experimentally the fracture mechanisms of a model cohesive granular medium consisting of glass beads held together by solidified polymer bridges. The elastic response of this material can be controlled by changing the cross-linking…

软凝聚态物质 · 物理学 2018-05-29 Alexander Schmeink , Lucas Goehring , Arnaud Hemmerle

We present a novel micromechanics-based phase field approach to model crack initiation and propagation in carbon nanotube (CNT) based composites. The constitutive mechanical and fracture properties of the nanocomposites are first estimated…

计算工程、金融与科学 · 计算机科学 2022-03-04 L. Quinteros , E. García-Macías , E. Martínez-Pañeda

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

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

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

材料科学 · 物理学 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

This paper investigates the effect of moisture content upon the degradation behaviour of composite materials. A coupled phase field framework considering moisture diffusion, hygroscopic expansion, and fracture behaviour is developed. This…

计算工程、金融与科学 · 计算机科学 2023-04-18 K. Au-Yeung , A. Quintanas-Corominas , E. Martínez-Pañeda , W. Tan

Are the cohesive laws of interfaces sufficient for modelling fracture in polycrystals using the cohesive zone model? We examine this question by comparing a fully atomistic simulation of a silicon polycrystal to a finite element simulation…

This is the second paper of a three-part work the main aim of which is to provide a unified consistent framework for the phase-field modelling of cohesive fracture. Building on the theoretical foundations of the first paper, where…

偏微分方程分析 · 数学 2025-07-17 Roberto Alessi , Francesco Colasanto , Matteo Focardi

There is growing interest in conducting small-scale tests to gain additional insight into the fracture behaviour of components across a wide range of materials. For example, micro-scale mechanical tests inside of a microscope (\emph{in…

计算工程、金融与科学 · 计算机科学 2025-06-04 C. Cui , L. Cupertino-Malheiros , Z. Xiong , E. Martínez-Pañeda

Micro- and mesostructures of multiphase materials obtained from tomography and image acquisition are an ever more important database for simulation analyses. Huge data sets for reconstructed 3d volumes typically as voxel grids call for…

计算工程、金融与科学 · 计算机科学 2021-03-17 Ajinkya Gote , Andreas Fischer , Chuanzeng Zhang , Bernhard Eidel

Phase-field models of fracture introduce smeared cracks of width commensurate with a regularisation length parameter $\epsilon$ and obeying a minimum energy principle. Mesh adaptivity naturally suggests itself as a means of supplying…

计算工程、金融与科学 · 计算机科学 2022-06-01 Dhananjay Phansalkar , Kerstin Weinberg , Michael Ortiz , Sigrid Leyendecker

Environmentally assisted cracking phenomena are widespread across the transport, defence, energy and construction sectors. However, predicting environmentally assisted fractures is a highly cross-disciplinary endeavour that requires…

材料科学 · 物理学 2021-08-03 Emilio Martínez-Pañeda

We propose a novel variational phase-field model for fracture in anisotropic materials. The model is specifically designed to allow a more flexible calibration of crack nucleation than existing anisotropic fracture formulations, while…

Thermal fracture is prevalent in many engineering problems and is one of the most devastating defects in metal additive manufacturing. Due to the interactive underlying physics involved, the computational simulation of such a process is…

材料科学 · 物理学 2022-12-28 Hui Ruan , Shahed Rezaei , Yangyiwei Yang , Dietmar Gross , Bai-Xiang Xu

Intergranular fracture in polycrystals is often simulated by finite elements coupled to a cohesive-zone model for the interfaces, requiring cohesive laws for grain boundaries as a function of their geometry. We discuss three challenges in…

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…

材料科学 · 物理学 2015-05-18 R. Spatschek , E. Brener , A. Karma

We propose a variational phase-field model of fracture capable of accounting for arbitrary closed convex strength domains. Unlike traditional models based on Ambrosio and Tortorelli regularization, the phase-field variable does not affect…

应用物理 · 物理学 2025-07-01 Blaise Bourdin , Jean-Jacques Marigo , Corrado Maurini , Camilla Zolesi