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

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Fracture mechanics is crucial for many fields of engineering, as precisely predicting failure of structures and parts is required for efficient designs. The simulation of failure processes is, from a mechanical and a numerical point of…

Materials Science · Physics 2022-06-15 Sebastian Pech , Markus Lukacevic , Josef Füssl

Phase field fracture models have seen widespread application in the last decade. Among these applications, its use to model the evolution of fatigue cracks has attracted particular interest, as fatigue damage behaviour can be predicted for…

Computational Engineering, Finance, and Science · Computer Science 2023-04-26 P. K. Kristensen , A. Golahmar , E. Martínez-Pañeda , C. F. Niordson

We present a novel finite element analysis of inelastic structures containing Shape Memory Alloys (SMAs). Phenomenological constitutive models for SMAs lead to material nonlinearities, that require substantial computational effort to…

Computational Engineering, Finance, and Science · Computer Science 2022-01-05 Ziliang Kang , Daniel A. Tortorelli , Kai A. James

The phase field method has gathered significant attention in the past decade due to its versatile applications in engineering contexts, including fatigue crack propagation modeling. Particularly, the phase field cohesive zone method…

Computational Engineering, Finance, and Science · Computer Science 2024-02-06 A. Baktheer , E. Martínez-Pañeda , F. Aldakheel

Fracture is a ubiquitous phenomenon in most composite engineering structures, and is often the responsible mechanism for catastrophic failure. Over the past several decades, many approaches have emerged to model and predict crack failure.…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Vinamra Agrawal , Brandon Runnels

This work presents a finite-strain version of an established three-dimensional constitutive model for polycrystalline shape memory alloys (SMA) that is able to account for the large deformations and rotations that SMA components may…

Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and…

In this paper, phase combinations among martensitic variants in shape memory alloys patches and bars are simulated by a hybrid optimization methodology. The mathematical model is based on the Landau theory of phase transformations. Each…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Linxiang X. Wang , Roderick V. N. Melnik

This paper describes a two-dimensional (2D) finite element simulation for fracture and fatigue behaviours of pure alumina microstructures such as those found at hip prostheses. Finite element models are developed using actual Al2O3…

Medical Physics · Physics 2012-04-03 Kyungmok Kim , Bernard Forest , Jean Géringer

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

The failure of a component often is the result of a degradation process that originates with the formation of a crack. Fatigue describes the crack formation in the material under cyclic loading. Activation and deactivation operations of…

Optimization and Control · Mathematics 2013-10-30 Hanno Gottschalk , Sebastian Schmitz

Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

Materials Science · Physics 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

Fatigue behaviors of metal components by laser fusion suffer from scattering due to random geometrical defects (e.g., porosity, lack of fusion). Monitoring fatigue crack initiation and growth is critical, especially for laser-fused…

Computational Engineering, Finance, and Science · Computer Science 2025-10-27 Panayiotis Kousoulas , Rahul Sharma , Y. B. Guo

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

Most of the existing methods for fatigue-driven delamination are limited to two-dimensional (2D) applications or their predictive capabilities have not been validated in three-dimensional (3D) problems. This work presents a new cohesive…

Computational Engineering, Finance, and Science · Computer Science 2019-05-14 Laura Carreras , Albert Turon , Brian L. V. Bak , Esben Lindgaard , Jordi Renart , Federico M. de la Escalera , Yasser Essa

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…

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

Machine Learning · Computer Science 2025-10-01 Erfan Hamdi , Emma Lejeune

Compressive-shear fracture is commonly observed in rock-like materials. However, this fracture type cannot be captured by current phase field models (PFMs), which have been proven an effective tool for modeling fracture initiation,…

Computational Engineering, Finance, and Science · Computer Science 2023-08-14 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

Electrode particle cracking is one of the main phenomena driving battery capacity degradation. Recent phase field fracture studies have investigated particle cracking behaviour. However, only the beginning of life has been considered and…

Chemical Physics · Physics 2022-06-28 W. Ai , B. Wu , E. Martínez-Pañeda

Shape Memory Alloys (SMAs) are a unique class of intermetallic alloys that can cyclically sustain large deformations and recover a designed geometry through a solid-to-solid phase transformation. SMAs provide favorable actuation energy…

Applied Physics · Physics 2020-01-22 Daniel Martin , Lei Xu , Dimitris Lagoudas