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A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanics, materials properties and exactness of spatial quantities…

Numerical Analysis · Mathematics 2022-08-10 Nima Noii , Amirreza Khodadadian , Fadi Aldakheel

Simulating flow in a highly heterogeneous reservoir with multiscale characteristics could be considerably demanding. To tackle this problem, we propose a numerical scheme coupling the Generalized Multiscale Finite Element Method (GMsFEM)…

Numerical Analysis · Mathematics 2018-10-31 Min Wang , Siu Wun Cheung , Eric T. Chung , Maria Vasilyeva , Yuhe Wang

Purpose - The purpose of this paper is to describe finite element modelling for fracture and fatigue behaviour of zirconia toughened alumina microstructures. Design/methodology/approach - A two-dimensional finite element model is developed…

Medical Physics · Physics 2013-12-02 Kyungmok Kim , Jean Geringer , Bernard Forest

A three-way coupled thermo-mechanical fracture model is presented to predict the damage of brittle ceramics, in particular {\alpha}-SiC, over a wide range of temperatures (20-1400 C). Predicting damage over such a range of temperatures is…

Materials Science · Physics 2026-03-06 Jason Sun , Yu Chen , Joseph J. Marziale , Eric A. Walker , David Salac , James Chen

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

In this work a generalized phase-field cohesive zone model ($\mu$PF-CZM) is proposed within the framework of the unified phase-field theory for brittle and cohesive fracture. With the introduction of an extra dissipation function for the…

Materials Science · Physics 2024-09-04 Jian-Ying Wu

In this work, the projection-based embedded discrete fracture model (pEDFM) for corner-point grid (CPG) geometry is developed for simulation of flow and heat transfer in fractured porous media. Unlike classical embedded discrete fracture…

Computational Physics · Physics 2021-12-15 Mousa HosseiniMehr , Janio Piguave Tomala , Cornelis Vuik , Mohammed Al Kobaisi , Hadi Hajibeygi

Stretchable conductors are of crucial relevance for emerging technologies such as wearable electronics, low-invasive bioelectronic implants or soft actuators for robotics. A critical issue for their development regards the understanding of…

Materials Science · Physics 2022-06-24 Giorgio Cortelli , Luca Patruno , Tobias Cramer , Beatrice Fraboni , Stefano de Miranda

This research rigorously investigates the convergence of adaptive finite element methods for regularized variational models of quasi-static brittle fracture in elastic solids. We specifically examine a novel Ambrosio-Tortorelli (AT1)…

Numerical Analysis · Mathematics 2025-07-02 Ram Manohar , S. M. Mallikarjunaiah

Bone fragility and fracture caused by osteoporosis or injury are prevalent in adults over the age of 50 and can reduce their quality of life. Hence, predicting the biomechanical bone strength, specifically of the proximal femur, through…

Image and Video Processing · Electrical Eng. & Systems 2020-04-03 Titas De

Brain strain and strain rate are effective in predicting traumatic brain injury (TBI) caused by head impacts. However, state-of-the-art finite element modeling (FEM) demands considerable computational time in the computation, limiting its…

Soft actuators have attracted a great deal of interest in the context of rehabilitative and assistive robots for increasing safety and lowering costs as compared to rigid-body robotic systems. During actuation, soft actuators experience…

A multiscale (micro-to-macro) analysis is proposed for the prediction of the finite strain behavior of composites with hyperelastic constituents and embedded localized damage. The composites are assumed to possess periodic microstructure…

Materials Science · Physics 2020-10-20 Nathan Perchikov , Jacob Aboudi

Deformable fractured porous media appear in many geoscience applications. While the extended finite element (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of the deformation, its…

Computational Physics · Physics 2021-04-07 Fanxiang Xu , Hadi Hajibeygi , Lambertus J. Sluys

In this work, we introduce a new Hybrid High-Order method for the numerical simulation of fracture propagation based on phase-field models. The proposed method supports general meshes made of polygonal/polyhedral elements, which provides…

Numerical Analysis · Mathematics 2025-11-20 Alessandra Crippa , Julien Coatléven , Daniele A. Di Pietro , Nicolas Guy , Yousef Soleiman

This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

Materials Science · Physics 2021-11-12 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Esteban Samaniego , Geert Degrande , Stijn François

Despite advancements in medical care, hip fractures impose a significant burden on individuals and healthcare systems. This paper focuses on the prediction of hip fracture risk in older and middle-aged adults, where falls and compromised…

We present high resolution measurements of the displacement and strain fields near the tip of a dynamic (Mode I) crack. The experiments are performed on polyacrylamide gels, brittle elastomers whose fracture dynamics mirror those of typical…

Materials Science · Physics 2009-11-13 Ariel Livne , Eran Bouchbinder , Jay Fineberg

Automatic CT segmentation of proximal femur is crucial for the diagnosis and risk stratification of orthopedic diseases; however, current methods for the femur CT segmentation mainly rely on manual interactive segmentation, which is…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Yu Deng , Ling Wang , Chen Zhao , Shaojie Tang , Xiaoguang Cheng , Hong-Wen Deng , Weihua Zhou

The phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and…

Computational Engineering, Finance, and Science · Computer Science 2021-04-19 Yousef Navidtehrani , Covadonga Betegón , Emilio Martínez-Pañeda