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A novel hydraulic fracture (HF) formulation is introduced which accounts for the hydraulically induced shear stress at the crack faces. It utilizes a general form of the elasticity operator alongside a revised fracture propagation condition…

Geophysics · Physics 2016-12-13 Michal Wrobel , Gennady Mishuris , Andrea Piccolroaz

Mechanical components that are exposed to cyclic mechanical loading fail at loads that are well below the ultimate tensile strength. This process is known as fatigue. The failure time, that is the time when a first crack forms, is highly…

Optimization and Control · Mathematics 2016-02-29 L. Bittner , H. Gottschalk , M. Gröger , N. Moch , M. Saadi , S. Schmitz

Fatigue failure driven by stress gradients associated to casting defects was studied in two cast nickel-based superalloys. The experimental campaign revealed complex damage phenomena linked to spongeous shrinkages, characterized by their…

Applied Physics · Physics 2024-07-30 Arjun Kalkur Matpadi Raghavendra , Vincent Maurel , Lionel Marcin , Henry Proudhon

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling…

Materials Science · Physics 2021-03-24 Tianchen Hu , Brandon Talamini , Andrew J. Stershic , Michael R. Tupek , John E. Dolbow

We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation describing the evolution of phase field and a Cahn-Hilliard…

Numerical Analysis · Mathematics 2022-09-29 Xiaoxia Tang , Shuwang Li , John S. Lowengrub , Steven M. Wise

Finite element analysis of stress about a blunt crack tip, emphasizing finite strain and phenomenological and mechanism-based strain gradient plasticity (SGP) formulations, is integrated with electrochemical assessment of occluded-crack tip…

Materials Science · Physics 2017-11-17 Emilio Martínez-Pañeda , Christian F. Niordson , Richard P. Gangloff

Fatigue crack advance induced by the application of cyclic quasistatic loads is investigated both numerically and analytically using a lattice spring model. The system has a quasi-one-dimensional geometry, and consists in two symmetrical…

Materials Science · Physics 2012-06-28 Tomás M. Guozden , Eduardo A. Jagla

Assessing human muscle fatigue is critical for optimizing performance and safety in physical human-robot interaction(pHRI). This work presents a data-driven framework to estimate fatigue in dynamic, cyclic pHRI using arm-mounted surface…

Robotics · Computer Science 2026-02-18 Feras Kiki , Pouya P. Niaz , Alireza Madani , Cagatay Basdogan

Crack initiation governs high cycle fatigue life and is susceptible to microstructural details. While corresponding microstructure-sensitive models are available, their validation is difficult. We propose a validation framework where a…

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…

Computational Physics · Physics 2025-12-23 Shad Durussel , Gergely Molnár , Jean-François Molinari

To deploy the airframe digital twin or to conduct probabilistic evaluations of the remaining life of a structural component, a (near) real-time crack-growth simulation method is critical. In this paper, a reduced-order simulation approach…

Applied Physics · Physics 2022-11-14 Xuan Zhou , Shuangxin He , Leiting Dong , Satya N. Atluri

Over the past few decades, the phase-field method for fracture has seen widespread appeal due to the many benefits associated with its ability to regularize a sharp crack geometry. Along the way, several different models for including the…

Computational Engineering, Finance, and Science · Computer Science 2023-05-15 Andre Costa , Tianchen Hu , John Dolbow

We introduce a phenomenological continuum model for mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between…

Soft Condensed Matter · Physics 2009-11-07 Alain Karma , David A. Kessler , Herbert Levine

Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase-field method has recently enabled…

Geophysics · Physics 2025-03-11 Fan Fei , Md Shumon Mia , Ahmed E. Elbanna , Jinhyun Choo

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 S. S. Shishvan , S. Assadpour-asl , E. Martínez-Pañeda

Under typical PEM fuel cell operating conditions, part of membrane electrode assembly is subjected to humidity cycling due to variation of inlet gas RH and/or flow rate. Cyclic membrane hydration/dehydration would cause cyclic…

Many people are aware of the theory of elastic fracture originated by AA Griffith, and although Griffith used the theorem of minimum potential energy most people seem unaware of the broader implications of this theorem. If it is set within…

Materials Science · Physics 2017-10-06 Clive E Neal-Sturgess

Machine learning as a data-driven solution has been widely applied in the field of fatigue lifetime prediction. In this paper, three models for wideband fatigue life prediction are built based on three machine learning models, i.e. support…

Materials Science · Physics 2023-11-14 Hong Sun , Yuanying Qiu , Jing Li , Jin Bai , Ming Peng

The present contribution proposes a thermodynamically consistent model for the simulation of the ductile damage. The model couples the phase field method of fracture to the Armstrong-Frederick plasticity model with kinematic hardening. The…

Materials Science · Physics 2021-06-07 Serhat Aygün , Tillmann Wiegold , Sandra Klinge

Engineering fatigue is a very prevalent and dangerous phenomenon that limits the useful life span of mechanical structures. It can be found in most engineered structures and machinery that are made from metallic or composite materials. The…

Signal Processing · Electrical Eng. & Systems 2021-04-27 He-Wen-Xuan Li , David Chelidze
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