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相关论文: Effective toughness estimation by FFT based phase …

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We propose a novel approach to optimize the design of heterogeneous materials, with the goal of enhancing their effective fracture toughness under mode-I loading. The method employs a Gaussian processes-based Bayesian optimization framework…

最优化与控制 · 数学 2023-03-29 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

We propose a new direction-dependent model for the unilateral constraint involved in the phase field approach to fracture and also in the continuous damage mechanics models. The construction of this phase field model is informed by…

计算工程、金融与科学 · 计算机科学 2023-10-05 Yangyuanchen Liu , Cheng Cheng , Vahid Ziaei-Rad , Yongxing Shen

In our previous papers we have described efficient and reliable methods of generation of representative volume elements (RVE) perfectly suitable for analysis of composite materials via stochastic homogenization. In this paper we profit from…

计算工程、金融与科学 · 计算机科学 2015-04-10 Vladimir Salnikov , Sophie Lemaitre , Daniel Choï , Philippe Karamian-Surville

We present a phase field modeling framework for hydrogen assisted cracking. The model builds upon a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy…

数值分析 · 数学 2018-08-10 Emilio Martínez-Pañeda , Alireza Golahmar , Christian F. Niordson

A heterogeneous brittle material characterized by a random field of local toughness Kc(x) can be represented by an equivalent homogeneous medium of toughness, Keff. Homogenization refers to a process of estimating Keff from the local field…

其他凝聚态物理 · 物理学 2015-06-24 Stephane Roux , Damien Vandembroucq , Francois Hild

A new model is presented to predict hydrogen-assisted fatigue. The model combines a phase field description of fracture and fatigue, stress-assisted hydrogen diffusion, and a toughness degradation formulation with cyclic and hydrogen…

计算工程、金融与科学 · 计算机科学 2024-05-21 C. Cui , P. Bortot , M. Ortolani , E. Martínez-Pañeda

In the present work, the evolution of damage in periodic composite materials is investigated through a novel finite element-based multiscale computational approach. The methodology is developed by means of the original combination of…

数值分析 · 数学 2019-08-09 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi , Josè Reinoso

This paper studies a two-phase material with a microstructure composed of a hard brittle reinforcement phase embedded in a soft ductile matrix. It addresses the full three-dimensional nature of the microstructure and macroscopic…

材料科学 · 物理学 2016-04-14 T. W. J. de Geus , M. Cottura , B. Appolaire , R. H. J. Peerlings , M. G. D. Geers

Over the past seven years, full-field analyses of a wide range of classical as well as modern quasi-static fracture experiments on nominally elastic brittle materials -- ranging from hard ceramics to soft elastomers -- have repeatedly…

材料科学 · 物理学 2024-11-26 Yangyuanchen Liu , Oscar Lopez-Pamies , John E. Dolbow

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 propose inverse problems of crack propagation using the phase-field models. First, we study the crack propagation in an inhomogeneous media in which fracture toughness varies in space. Using the two phase-field models based on different…

偏微分方程分析 · 数学 2023-04-26 Yueyuan Gao , Natsuhiko Yoshinaga

This paper describes a novel homogenization methodology for analyzing the failure of elastoplastic composite materials based on elastic and eigen influence tensors-driven transformation field analysis ($\mathtt{E}^2$-TFA). The proposed…

计算工程、金融与科学 · 计算机科学 2025-09-26 Harpreet Singh

A framework based on FFT is proposed for micromechanical fatigue modeling of polycrystals as alternative to the Finite Element method (FEM). The variational FFT approach is used with a crystal plasticity model for the cyclic behavior of the…

计算物理 · 物理学 2019-05-23 Sergio Lucarini , Javier Segurado

Recently, the phase field method has been increasingly used for brittle fractures in soft materials like polymers, elastomers, and biological tissues. When considering finite deformations to account for the highly deformable nature of soft…

材料科学 · 物理学 2024-08-22 S. Mohammad Mousavi , Ida Ang , Jason Mulderrig , Nikolaos Bouklas

An effective computational framework of an anisotropic phase field model is used to explore the effects of interface properties, effective critical energy release rates and hole shapes on the failure process of fibre-reinforced composites…

材料科学 · 物理学 2022-12-06 Yuanfeng Yu , Xiaoya Zheng , Peng Li , Jinyou Xiao

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

Reproducing the key features of fracture behavior under multiaxial stress states is essential for accurate modeling. Experimental evidence indicates that three intrinsic material properties govern fracture nucleation in elastic materials:…

Understanding the fracture mechanisms in composite materials across scales, from nano- to micro-scales, is essential for an in-depth understanding of the reinforcement mechanisms and designing the next generation of lightweight,…

材料科学 · 物理学 2024-11-25 Qinghua Zhang , Navid Valizadeh , Mingpeng Liu , Xiaoying Zhuang , Bohayra Mortazavi

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

Fatigue fracture is one of the main causes of failure in structures. However, the simulation of fatigue crack growth is computationally demanding due to the large number of load cycles involved. Metals in the low cycle fatigue range often…

计算物理 · 物理学 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner