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The phase-field model for fracture, despite its popularity and ease of implementation comes with its set of computational challenges. They are the non-convex energy functional, variational inequality due to fracture irreversibility, the…

Numerical Analysis · Mathematics 2022-06-24 Ritukesh Bharali , Fredrik Larsson , Ralf Jänicke

We investigate the shrinkage induced breakup of thin layers of heterogeneous materials attached to a substrate, a ubiquitous natural phenomenon with a wide range of potential applications. Focusing on the evolution of the fragment ensemble,…

Disordered Systems and Neural Networks · Physics 2025-12-03 Roland Szatmári , Akio Nakahara , So Kitsunezaki , Ferenc Kun

The failure of 2D numerical cohesive granular steps collapsing under gravity are simulated for a large range of cohesion. Focussing on the cumulative displacement of the grains, and defining a displacement threshold, we establish a sensible…

Soft Condensed Matter · Physics 2022-04-01 Lydie Staron , Laurent Duchemin , Anais Abramian , Pierre-Yves Lagrée

We investigate crack propagation in a simple two-dimensional visco-elastic model and find a scaling regime in the relation between the propagation velocity and energy release rate or fracture energy, together with lower and upper bounds of…

Materials Science · Physics 2017-06-22 Yuko Aoyanagi , Ko Okumura

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…

Numerical Analysis · Computer Science 2019-03-21 Hai D. Huynh , Phuong Tran , Xiaoying Zhuang , H. Nguyen-Xuan

An estimate of the effective toughness of heterogeneous materials is proposed based on the Phase Field Fracture model implemented in an FFT homogenization solver. The estimate is based on the simulation of the deformation of representative…

Materials Science · Physics 2025-08-12 Pedro Aranda , Javier Segurado

We investigate the internal structure of a polymer during collapse from an expanded coil to a compact globule. Collapse is more probable in local regions of high curvature, so a smoothing of the fractal polymer structure occurs that…

Soft Condensed Matter · Physics 2008-11-07 G. E. Crooks , B. Ostrovsky , Y. Bar-Yam

A three-dimensional Multiphysics Lattice Discrete Particle Model (M-LDPM) framework is formulated to investigate the fracture permeability behavior of shale. The framework features a dual lattice system mimicking the mesostructure of the…

Geophysics · Physics 2019-02-12 Weixin Li , Xinwei Zhou , J. William Carey , Luke P. Frash , Gianluca Cusatis

We consider an alternative way of obtaining the effective elastic properties of a cracked medium. Similarly, to the popular linear-slip model, we assume flat, parallel fractures, and long wavelengths. However, we do not treat fractures as…

Geophysics · Physics 2021-09-01 Filip P. Adamus

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

Soft Condensed Matter · Physics 2009-10-08 Z. Usatenko

We present a computational framework to explore the effect of microstructure and constituent properties upon the fracture toughness of fibre-reinforced polymer composites. To capture microscopic matrix cracking and fibre-matrix debonding,…

Applied Physics · Physics 2020-11-03 Wei Tan , Emilio Martínez-Pañeda

Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the…

Soft Condensed Matter · Physics 2022-02-04 Debdeep Bhattacharya , Patrick Diehl , Robert P. Lipton

A phase-field model is used to capture the surfactant-driven formation of fracture patterns in particulate monolayers. The model is intended for the regime of closely-packed systems in which the mechanical response of the monolayer can be…

Soft Condensed Matter · Physics 2017-06-30 Christian Peco , Wei Chen , Yingjie Liu , M. M. Bandi , John E. Dolbow , Eliot Fried

For bone segmentation, the classical geodesic active contour model is usually limited by its indiscriminate feature extraction, and then struggles to handle the phenomena of edge obstruction, edge leakage and bone fracture. Thus, we propose…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Liheng Wang , Licheng Zhang , Hailin Xu , Jingxin Zhao , Xiuyun Su , Jiantao Li , Miutian Tang , Weilu Gao , Chong Chen

Elastomers are used in a wide range of applications because of their large strain to failure, low density, and tailorable stiffness and toughness. The mechanical behavior of elastomers derives mainly from the entropic elasticity of the…

Soft Condensed Matter · Physics 2022-08-24 Michael R. Buche , Meredith N. Silberstein

Theoretical analyses and experiments have been carried out to investigate fracture behavior of glassy polymers. Our birefringence measurements quantify the local stress buildup at cut tip during different stages of drawing. Based on…

Soft Condensed Matter · Physics 2022-12-02 Travis Smith , Chaitanya Gupta , Caleb Carr , Shi-Qing Wang

In this contribution a method is introduced that allows for a linkage between the process-induced structural damage and the fracture behaviour. Based on an anisotropic elastic material model, different modelling approaches for initial…

Applied Physics · Physics 2020-06-30 Benjamin Schmidt , Michael Rose , Martina Zimmermann , Markus Kästner

Piecewise deterministic Markov process samplers are attractive alternatives to Metropolis--Hastings algorithms. A central design question is how to incorporate partial velocity refreshment to ensure ergodicity without injecting excessive…

Probability · Mathematics 2026-02-20 Hirofumi Shiba , Kengo Kamatani

The size effect on the fracture process zone in notched and unnotched three point bending tests of concrete beams is analysed by a meso-scale approach. Concrete is modelled at the meso-scale as stiff aggregates embedded in a soft matrix…

Materials Science · Physics 2012-03-21 Peter Grassl , David Gregoire , Laura Rojas Solano , Gilles Pijaudier-Cabot

We propose a machine learning approach to address a key challenge in materials science: predicting how fractures propagate in brittle materials under stress, and how these materials ultimately fail. Our methods use deep learning and train…

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