On the Experimental Evaluation of the Fracture Toughness of Shape Memory Alloys

Haghgouyan, Behrouz; Hayrettin, C.; Baxevanis, Theocharis; Караман, И.; Lagoudas, Dimitris C.

doi:10.1007/978-3-319-72526-0_53

Cited by 7 publications

(9 citation statements)

References 14 publications

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G_{c} = 22.5

kJ/m 2 , based on the data reported for NiTi, 63 and a length scale of

ℓ = 0.145

mm, which corresponds to a strength of 600 MPa according to Equation (3A). Symmetric tension‐compression behavior is assumed but the focus will be on tensile behavior; case studies where the load ratio R is positive.…”

Section: Resultsmentioning

confidence: 99%

Modelling fatigue crack growth in shape memory alloys

Simoes

Braithwaite

Makaya

et al. 2022

Fatigue Fract Eng Mat Struct

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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.

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G_{c} = 22.5

kJ/m 2 , based on the data reported for NiTi, 63 and a length scale of

ℓ = 0.145

Section: Resultsmentioning

confidence: 99%

Modelling fatigue crack growth in shape memory alloys

Simoes

Braithwaite

Makaya

et al. 2022

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…In addition, we assume a uniform transformation strain, such that in (8), H = H min = H max . Regarding the material toughness, a value of 22.5 kJ/m 2 is adopted from the range of reported data for NiTi [60],…”

Section: Resultsmentioning

confidence: 99%

“…The high stresses of the transformation region dominate the crack growth resistance of SMAs and result in energy dissipation and material toughening [12,13]. Finite element models have been developed to predict the role of transformation toughening and reverse transformation on crack propagation [5,[14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Phase field modelling of fracture and fatigue in Shape Memory Alloys

Simoes

Martínez‐Pañeda

2021

Computer Methods in Applied Mechanics and Engineering

100

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“…It can be seen that C2 results in a smaller hysteresis loop, relative to the reference material (C1), and that the reduction in temperature of C3 results in lower stress transformation thresholds. The same fracture properties are assumed for all cases; namely, a toughness of G c = 22.5 kJ/m 2 , based on the data reported for NiTi 63 , and a length scale of ℓ = 0.145 mm, which corresponds to a strength of 600 MPa according to Eq. (3)a. Symmetric tension-compression behaviour is assumed but the focus will be on tensile behaviour; case studies where the load ratio R is positive.…”

Section: Resultsmentioning

confidence: 99%

Modelling fatigue crack growth in Shape Memory Alloys

Simoes¹,

Braithwaite²,

Makaya³

et al. 2021

Preprint

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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 generalised 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 linearised 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 ∆ε−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.

show abstract

On the Experimental Evaluation of the Fracture Toughness of Shape Memory Alloys

Cited by 7 publications

References 14 publications

Modelling fatigue crack growth in shape memory alloys

Modelling fatigue crack growth in shape memory alloys

Phase field modelling of fracture and fatigue in Shape Memory Alloys

Modelling fatigue crack growth in Shape Memory Alloys

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