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Topological consistency plays a crucial role in the task of boundary segmentation for reticular images, such as cell membrane segmentation in neuron electron microscopic images, grain boundary segmentation in material microscopic images and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Chuni Liu , Boyuan Ma , Xiaojuan Ban , Yujie Xie , Hao Wang , Weihua Xue , Jingchao Ma , Ke Xu

We present a novel image-based adaptive domain decomposition FEM framework to accelerate the solution of continuum damage mechanics problems. The key idea is to use image-processing techniques in order to identify the moving interface…

Computational Engineering, Finance, and Science · Computer Science 2024-11-08 Panos Pantidis , Cornelius Otchere , Mostafa E. Mobasher

In this work, we investigate a novel approach for the simulation of two-dimensional, brittle, quasi-static fracture problems based on a shape optimization approach. In contrast to the commonly-used phase-field approach, this proposed…

Optimization and Control · Mathematics 2025-07-28 Tim Suchan , Winnifried Wollner , Kathrin Welker

This work introduces a novel \textsf{AT1} phase-field framework for simulating quasi-static anti-plane shear fracture in geometrically linear elastic bodies. A key feature of this framework is the unification of $\xi$-based local mesh…

Numerical Analysis · Mathematics 2025-07-01 Maria P. Fernando , S. M. Mallikarjunaiah

Rock formations are very often characterized by the presence of fractures that have grown subcritically over geological time scales and under evolving stress fields. In mechanically layered systems, such fractures can either become…

Geophysics · Physics 2026-01-01 Juan Michael Sargado , Michael Welch , Michael Lüthje

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

Numerical Analysis · Mathematics 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

This study aims to unravel the micro-mechanical underpinnings of the emergence of the fractocohesive length scale as a central concept in modern fracture mechanics. A thermodynamically consistent damage and fracture model for elastomers is…

Soft Condensed Matter · Physics 2025-09-03 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

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…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Khuong D. Nguyen , Cuong-Le Thanh , Frank Vogel , H. Nguyen-Xuan , M. Abdel-Wahab

Understanding the nature of brittle failure in ferroelectric materials is essential, but difficult due to the complex interaction between mechanical and electrical concentrated fields near the crack tip. In this work, an extended…

Materials Science · Physics 2024-05-22 Chang Liu , Yu Tan , Yong Zhang , Zhaoyi Liu , Takahiro Shimada , Xiangyu Li , Jie Wang

In this paper, a parallel overlapping domain decomposition preconditioner is proposed to solve the linear system of equations arising from the extended finite element discretization of elastic crack problems. The algorithm partitions the…

Computational Engineering, Finance, and Science · Computer Science 2021-12-07 Tian Wei , Huang Jingjing , Chen Rongliang , Jiang Yi

This paper presents a macroscopic theory, alongside its numerical implementation, aimed at describing, explaining, and predicting the nucleation and propagation of fracture in viscoelastic materials subjected to quasistatic loading…

Soft Condensed Matter · Physics 2025-06-23 Farhad Kamarei , Evan Breedlove , Oscar Lopez-Pamies

In this work, a combined modelling approach for crack propagation in defective graphene is presented. Molecular dynamics (MD) simulations are used to obtain material parameters (Young's modulus and Poisson ratio) and to determine the energy…

In this work, a recently proposed high-cycle fatigue cohesive zone model, which covers crack initiation and propagation with limited input parameters, is embedded in a robust and efficient numerical framework for simulating progressive…

Computational Engineering, Finance, and Science · Computer Science 2023-12-14 Pieter Hofman , Frans Paul van der Meer , Lambertus Johannes Sluys

In this paper, we extend a micromechanics-based phase-field framework for fatigue fracture to incorporate cyclic plasticity with ratcheting. This mechanism is particularly relevant for low-cycle fatigue, where the accumulation of inelastic…

Applied Physics · Physics 2026-02-05 Mina Sarem , Nuhamin Eshetu Deresse , Els Verstrynge , Stijn François

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…

Analysis of PDEs · Mathematics 2023-04-26 Yueyuan Gao , Natsuhiko Yoshinaga

Modeling crack initiation and propagation in brittle materials is of great importance to be able to predict sudden loss of load-carrying capacity and prevent catastrophic failure under severe dynamic loading conditions. Second-order…

Numerical Analysis · Mathematics 2022-05-17 Lampros Svolos , Hashem M. Mourad , Gianmarco Manzini , Krishna Garikipati

Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are interested in the quasi-static response of a viscoelastic solid subjected to damage. This paper…

Computational Engineering, Finance, and Science · Computer Science 2023-05-15 Rajasekar Gopalsamy , Nicolas Chevaugeon , Olivier Chupin , Ferhat Hammoum

We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the…

Soft Condensed Matter · Physics 2019-02-19 Shuwei Zhou , Xiaoying Zhuang , Hehua Zhu , Timon Rabczuk

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using…

Materials Science · Physics 2009-09-01 F. Corson , M. Adda-Bedia , H. Henry , E. Katzav

A novel phase field material point method is introduced for robust simulation of dynamic fracture in elastic media considering the most general case of anisotropic surface energy. Anisotropy is explicitly introduced through a properly…

Numerical Analysis · Mathematics 2019-09-04 Emmanouil Kakouris , Savvas P. Triantafyllou