Modelling fatigue crack growth in shape memory alloys
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–...
| Main Authors: | , , , |
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| פורמט: | Journal article |
| שפה: | English |
| יצא לאור: |
Wiley
2022
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| _version_ | 1826312320499843072 |
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| author | Simoes, M Braithwaite, C Makaya, A Martinez-Paneda, E |
| author_facet | Simoes, M Braithwaite, C Makaya, A Martinez-Paneda, E |
| author_sort | Simoes, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T08:28:47Z |
| format | Journal article |
| id | oxford-uuid:29f9ecd1-e848-4f2f-adc5-b39feb19e532 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:28:47Z |
| publishDate | 2022 |
| publisher | Wiley |
| record_format | dspace |
| spelling | oxford-uuid:29f9ecd1-e848-4f2f-adc5-b39feb19e5322024-02-28T14:18:00ZModelling fatigue crack growth in shape memory alloysJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:29f9ecd1-e848-4f2f-adc5-b39feb19e532EnglishSymplectic ElementsWiley2022Simoes, MBraithwaite, CMakaya, AMartinez-Paneda, EWe 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. |
| spellingShingle | Simoes, M Braithwaite, C Makaya, A Martinez-Paneda, E Modelling fatigue crack growth in shape memory alloys |
| title | Modelling fatigue crack growth in shape memory alloys |
| title_full | Modelling fatigue crack growth in shape memory alloys |
| title_fullStr | Modelling fatigue crack growth in shape memory alloys |
| title_full_unstemmed | Modelling fatigue crack growth in shape memory alloys |
| title_short | Modelling fatigue crack growth in shape memory alloys |
| title_sort | modelling fatigue crack growth in shape memory alloys |
| work_keys_str_mv | AT simoesm modellingfatiguecrackgrowthinshapememoryalloys AT braithwaitec modellingfatiguecrackgrowthinshapememoryalloys AT makayaa modellingfatiguecrackgrowthinshapememoryalloys AT martinezpanedae modellingfatiguecrackgrowthinshapememoryalloys |