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A nonlinear phase-field model is developed to simulate corrosion damage. The motion of the electrode$-$ electrolyte interface follows the usual kinetic rate theory for chemical reactions based on the Butler-Volmer equation. The model links…

化学物理 · 物理学 2024-08-28 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

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…

软凝聚态物质 · 物理学 2025-06-23 Farhad Kamarei , Evan Breedlove , Oscar Lopez-Pamies

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

Erosion poses a great challenge in multi-phase mass flows as it drastically changes flow behavior and deposition pattern by dramatically increasing their masses, adversely affecting population and civil structures. There exists no…

流体动力学 · 物理学 2025-03-28 Shiva P. Pudasaini

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

材料科学 · 物理学 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

We investigate dynamic crack propagation and fragmentation with the phase-field fracture approach. The method was chosen for its ability to yield crack paths that are independent of the underlying mesh, thanks to the damage regularization…

计算物理 · 物理学 2025-12-23 Shad Durussel , Gergely Molnár , Jean-François Molinari

Phase field theory for fracture is developed at large strains with an emphasis on a correct introduction of surface stresses. This is achieved by multiplying the cohesion and gradient energies by the local ratio of the crack surface areas…

A model has been developed which simulates the deformation of single crystal austenitic stainless steels and cap-tures the effects of hydrogen on stress corrosion cracking. The model is based on the crystal plasticity theory which relates…

材料科学 · 物理学 2019-10-21 E. I. Ogosi , U. B. Asim , M. A. Siddiq , M. E. Kartal

We introduce a dislocation density tensor and derive its kinematic evolution law from a phase field description of crystal deformations in three dimensions. The phase field crystal (PFC) model is used to define the lattice distortion,…

材料科学 · 物理学 2022-06-06 Vidar Skogvoll , Luiza Angheluta , Audun Skaugen , Marco Salvalaglio , Jorge Viñals

This work addresses an efficient Global-Local approach supplemented with predictor-corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field formulation is used to resolve the sharp crack surface topology on…

数值分析 · 数学 2020-02-19 Nima Noii , Fadi Aldakheel , Thomas Wick , Peter Wriggers

A series of recent papers have modified the classical variational phase-field fracture models to successfully predict both the nucleation and propagation of cracks in brittle fracture under general loading conditions. This is done through…

材料科学 · 物理学 2025-01-03 Chockalingam Senthilnathan

In a recent contribution, Kumar, Bourdin, Francfort, and Lopez-Pamies (J. Mech. Phys. Solids 142:104027, 2020) have introduced a comprehensive macroscopic phase-field theory for the nucleation and propagation of fracture in linear elastic…

材料科学 · 物理学 2022-07-21 Aditya Kumar , K. Ravi-Chandar , Oscar Lopez-Pamies

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

数值分析 · 数学 2019-05-22 Nima Noii , Thomas Wick

We present a theoretical and numerical scheme that enables quantifying hydrogen ingress in metals for arbitrary environments and defect geometries. This is achieved by explicitly resolving the electrochemical behaviour of the electrolyte,…

化学物理 · 物理学 2022-09-20 T. Hageman , E. Martínez-Pañeda

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

Phase-field modeling -- a continuous approach to discontinuities -- is gaining popularity for simulating rock fractures due to its ability to handle complex, discontinuous geometry without an explicit surface tracking algorithm. None of the…

地球物理 · 物理学 2022-11-24 Fan Fei , Jinhyun Choo , Chong Liu , Joshua A. White

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

We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case…

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

计算工程、金融与科学 · 计算机科学 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

We propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, microtorques, and mass. We focus on materials where second…

数学物理 · 物理学 2020-02-12 Luis Espath , Victor Calo