Modelling fatigue crack growth in shape memory alloys
- Vol. 45, Iss: 4, pp 1243-1257
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TLDR
In this paper , a phase field-based framework for modeling fatigue damage in shape memory alloys (SMAs) is presented, combining a generalized phase field description of fracture, incorporating multiple phase field formulations, and a constitutive model for SMAs, based on a Drucker-Prager form of the transformation surface, with damage driven by both elastic and transformation strains.Abstract:
We present a phase field-based framework for modelling fatigue damage in Shape Memory Alloys (SMAs). The model combines, for the first time: (i) a generalized phase field description of fracture, incorporating multiple phase field formulations, (ii) a constitutive model for SMAs, based on a Drucker–Prager form of the transformation surface, and (iii) a fatigue degradation function, with damage driven by both elastic and transformation strains. The theoretical framework is numerically implemented, and the resulting linearized system is solved using a robust monolithic scheme, based on quasi-Newton methods. Several paradigmatic boundary value problems are addressed to gain insight into the role of transformation stresses, stress-strain hysteresis, and temperature. Namely, we compute Δε − N curves, quantify Paris law parameters, and predict fatigue crack growth rates in several geometries. In addition, the potential of the model for solving large-scale problems is demonstrated by simulating the fatigue failure of a 3D lattice structure. read more
Citations
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A coupled phase field formulation for modelling fatigue cracking in lithium-ion battery electrode particles
TL;DR: In this article , a multi-physics phase field fatigue model has been developed to study crack propagation in battery electrode particles undergoing hundreds of cycles, and an electrochemo-mechanical formulation with X-ray CT imaging was used to simulate fatigue cracking of realistic particle microstructures.
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Micromechanics-based phase field fracture modelling of CNT composites
TL;DR: In this article , a micromechanics-based phase field approach is proposed to model crack initiation and propagation in carbon nanotube (CNT) based composites.
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A general framework for decomposing the phase field fracture driving force, particularised to a Drucker–Prager failure surface
TL;DR: In this article , the authors present a general methodology for decomposing the phase field fracture driving force, the strain energy density, so as to reproduce asymmetric tension-compression fracture behavior.
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The role of NiTi shape memory alloys in quality of life improvement through medical advancements: A comprehensive review
TL;DR: An overview of the various properties of shape memory alloys and their applications in the biomedical field over the years, that have had a significant impact on the realm of medical science are provided.
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A phase field model for high-cycle fatigue: total-life analysis
TL;DR: In this article , a generalised phase field formulation for predicting high-cycle fatigue in metals is presented, together with new damage accumulation strategies, to account for a typical S-N curve slope, the fatigue endurance limit, and the mean stress effect.
References
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