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Related papers: Modelling fatigue crack growth in Shape Memory All…

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We present a new phase field framework for modelling fracture and fatigue in Shape Memory Alloys (SMAs). The constitutive model captures the superelastic behaviour of SMAs and damage is driven by the elastic and transformation strain energy…

Computational Engineering, Finance, and Science · Computer Science 2020-12-02 Marlini Simoes , Emilio Martínez-Pañeda

We propose a novel variational phase-field model for fracture and fatigue in pseudoelastic shape memory alloys (SMAs). The model, developed in a one-dimensional setting, builds upon the Auricchio-Petrini constitutive formulation for SMAs…

Applied Physics · Physics 2026-05-28 Alma Brambilla , Laura De Lorenzis , Lorenza Petrini

We present a generalised phase field-based formulation for predicting fatigue crack growth in metals. The theoretical framework aims at covering a wide range of material behaviour. Different fatigue degradation functions are considered and…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Z. Khalil , A. Y. Elghazouli , E. Martínez-Pañeda

A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation…

Materials Science · Physics 2020-06-04 P. Carrara , M. Ambati , R. Alessi , L. De Lorenzis

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…

Computational Physics · Physics 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner

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 article presents a novel, robust and efficient framework for fatigue crack-propagation that combines the principles of Linear Elastic Fracture Mechanics (LEFM) with phase-field fracture (PFF). Contrary to cycle-by-cycle PFF approaches,…

Materials Science · Physics 2025-09-12 M. Castillón , I. Romero , J. Segurado

Fatigue fracture in ductile materials, e. g. metals, is caused by cyclic plasticity. Especially regarding the high numbers of load cycles, plastic material models resolving the full loading path are computationally very demanding. Herein, a…

Materials Science · Physics 2019-10-24 Martha Seiler , Thomas Linse , Peter Hantschke , Markus Kästner

Fatigue crack growth is decisive for the design of thin-walled structures such as fuselage shells of air planes. The cold rolling process, used to produce the aluminium sheets this structure is made of, leads to anisotropic mechanical…

Materials Science · Physics 2023-08-03 Martha Kalina , Vanessa Schöne , Boris Spak , Florian Paysan , Eric Breitbarth , Markus Kästner

Phase-field models of fracture introduce smeared cracks of width commensurate with a regularisation length parameter $\epsilon$ and obeying a minimum energy principle. Mesh adaptivity naturally suggests itself as a means of supplying…

Computational Engineering, Finance, and Science · Computer Science 2022-06-01 Dhananjay Phansalkar , Kerstin Weinberg , Michael Ortiz , Sigrid Leyendecker

The behavior of shape memory alloy (SMA) nanostructures is influenced by strain rate and temperature evolution during dynamic loading. The coupling between temperature, strain and strain rate effects is essential to capture inherent…

Materials Science · Physics 2014-07-01 R. Dhote , H. Gomez , R. Melnik , J. Zu

A novel FFT-based phase-field fracture framework for modelling fatigue crack initiation and propagation at the microscale is presented. A damage driving force is defined based on the stored energy and dislocation density, relating…

Computational Engineering, Finance, and Science · Computer Science 2023-04-04 Sergio Lucarini , Fionn P. E. Dunne , Emilio Martínez-Pañeda

Predicting potential risks associated with the fatigue of key structural components is crucial in engineering design. However, fatigue often involves entangled complexities of material microstructures and service conditions, making…

Machine Learning · Computer Science 2024-02-13 Yingjie Zhao , Yong Liu , Zhiping Xu

Shape memory alloys (SMAs) have been intensively investigated as actuators for the past several decades. Due to their high actuation energy density compared to other active materials, their current and potential applications in engineering…

Materials Science · Physics 2018-12-31 Lei Xu , Alexandros Solomou , Dimitris Lagoudas

We study the fatigue fracture of disordered materials by means of computer simulations of a discrete element model. We extend a two-dimensional fracture model to capture the microscopic mechanisms relevant for fatigue, and we simulate the…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. A. Carmona , F. Kun , J. S. Andrade , H. J. Herrmann

We introduce a class of models based on near crack tip degradation of materials that can account for fracture growth under cyclic loads below the Griffith threshold. We incorporate the gradual degradation due to a cyclic load through a flow…

Materials Science · Physics 2019-06-26 Ataollah Mesgarnejad , Anahita Imanian , Alain Karma

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

In the last ten years, the phase-field method has gained much attention as a novel method to simulate fracture due to its straightforward way allowing to cover crack initiation and propagation without additional conditions. More recently,…

Materials Science · Physics 2023-05-31 Martha Kalina , Tom Schneider , Jörg Brummund , Markus Kästner

This paper addresses the modeling of fracture in quasi-brittle materials using a phase-field approach to the description of crack topology. Within the computational mechanics community, several studies have treated the issue of modeling…

Computational Engineering, Finance, and Science · Computer Science 2019-03-01 Jacinto Ulloa , Patricio Rodríguez , Cristóbal Samaniego , Esteban Samaniego

We present a generalised phase field formulation for predicting high-cycle fatigue in metals. Different fatigue degradation functions are presented, together with new damage accumulation strategies, to account for (i) a typical S-N curve…

Computational Engineering, Finance, and Science · Computer Science 2023-02-07 A. Golahmar , C. F. Niordson , E. Martínez-Pañeda
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