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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

Geologic shear fractures such as faults and slip surfaces involve marked friction along the discontinuities as they are subjected to significant confining pressures. This friction plays a critical role in the growth of these shear…

Geophysics · Physics 2020-07-23 Fan Fei , Jinhyun Choo

Simulation of frictional contact and shear failure of fractures in fractured media is of paramount important in computational mechanics. In this work, a preconditioned mixed-finite element (FE) scheme with Lagrange multipliers is proposed…

Numerical Analysis · Mathematics 2021-10-29 Luyu Wang , Cornelis Vuik , Hadi Hajibeygi

The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the Hu-Washizu variational principle is employed to generate a…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Hai D. Huynh , S. Natarajan , H. Nguyen-Xuan , Xiaoying Zhuang

The Brazilian splitting test is a widely used testing procedure for characterizing the tensile strength of natural rock or rock-like material due to the fact. However, the results of Brazilian tests on specimens with naturally existing…

Geophysics · Physics 2023-09-11 Shuwei Zhou , Xiaoying Zhuang , Jiaming Zhou , Fang Liu

This work proposes an investigation on the fracturing behavior of polymer nanocomposites. Towards this end, the study leverages on the analysis of a large bulk of fracture tests from the literature with the goal of critically investigating…

Materials Science · Physics 2017-07-31 Yao Qiao , Cory Hage Mefford , Marco Salviato

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

The structure and mechanical properties of a simple two-dimensional model of a cohesive powder are investigated by molecular dynamics simulations. Micromechanical ingredients involve elasticity, friction, a short range attraction and,…

Disordered Systems and Neural Networks · Physics 2007-05-24 Francisco Gilabert , Jean-Noel Roux , Antonio Castellanos

Phase-field models are a leading approach for realistic fracture problems. They treat the crack as a second phase and use gradient terms to smear out the crack faces, enabling the use of standard numerical methods for simulations. This…

Analysis of PDEs · Mathematics 2022-07-01 Maryam Hakimzadeh , Vaibhav Agrawal , Kaushik Dayal , Carlos Mora-Corral

Phase-field fracture models are known to overestimate the crack area, a discrepancy that compromises the accuracy of fracture predictions. This issue stems from the diffuse crack representation and numerical artifacts, such as strain…

Materials Science · Physics 2026-05-06 M. Castillón , J. Segurado , I. Romero

We present a combined phase field and cohesive zone formulation for hydrogen embrittlement that resolves the polycrystalline microstructure of metals. Unlike previous studies, our deformation-diffusion-fracture modelling framework accounts…

Materials Science · Physics 2022-07-18 A. Valverde-González , E. Martínez-Pañeda , A. Quintanas-Corominas , J. Reinoso , M. Paggi

For the fatigue life of thin-walled components, not only fatigue crack initiation, but also crack growth is decisive. The phase-field method for fracture is a powerful tool to simulate arbitrary crack phenomena. Recently, it has been…

Materials Science · Physics 2021-04-07 Martha Seiler , Sören Keller , Nikolai Kashaev , Benjamin Klusemann , Markus Kästner

This paper presents a modeling framework to describe the driving mechanisms of cyclic failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A variational model is devised using the energetic…

Numerical Analysis · Mathematics 2020-11-10 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Geert Degrande , Stijn François

We present a new theoretical and numerical framework for modelling mechanically-assisted corrosion in elastic-plastic solids. Both pitting and stress corrosion cracking (SCC) can be captured, as well as the pit-to-crack transition.…

Applied Physics · Physics 2020-12-30 Chuanjie Cui , Rujin Ma , Emilio Martínez-Pañeda

Numerical simulations of brittle fracture using phase-field approaches often employ a discrete approximation framework that applies the same order of interpolation for the displacement and phase-field variables. Most common is to use linear…

Numerical Analysis · Mathematics 2019-04-30 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

The Zak phase $\gamma$, the generalization of the Berry phase to Bloch wave functions in solids, is often used to characterize inversion-symmetric 1D topological insulators; however, since its value can depend on the choice of real-space…

Strongly Correlated Electrons · Physics 2017-01-30 Jun-Won Rhim , Jan Behrends , Jens H. Bardarson

Effective modulation of magnetic permeability plays a vital role in the development of high-performance inductors. Here, phase-field simulations of hard/soft ferrite composites (BaM/NiZn) clarify how exchange coupling and microstructure…

Materials Science · Physics 2025-11-26 Xinyu Xu , Wenqin Yue , Yueli Yu , Yongke Yan , Liwei D. Geng

This work presents the Griffith-type phase-field formation at large deformation in the framework of adaptive edge-based smoothed finite element method (ES-FEM) for the first time. Therein the phase-field modeling of fractures has attracted…

Numerical Analysis · Mathematics 2021-11-09 Fucheng Tian , Xiaoliang Tang , Tingyu Xu , Liangbin Li

The combination of Finite Element Method (FEM) simulation and experimental photo-elasticity provides both qualitative and quantitative information about the stress field in a polymer composite and particularly along the fibre-matrix…

Materials Science · Physics 2007-05-23 H. Matthias Deuschle , Falk K. Wittel , Henry Gerhard , Gerhard Busse , Bernd-H. Kroeplin

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…