2017
DOI: 10.1016/j.ijfatigue.2017.05.026
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Fatigue crack propagation in complex stress fields: Experiments and numerical simulations using the Extended Finite Element Method (XFEM)

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Cited by 105 publications
(42 citation statements)
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“…Progressive failure defines how damage propagates though a laminate and can be caused by cyclic or monotonic loading [20]- [22]. The modeling technique that is discussed here was used to model the progressive damage of a CFRP laminate.…”
Section: Damage Modelmentioning
confidence: 99%
“…Progressive failure defines how damage propagates though a laminate and can be caused by cyclic or monotonic loading [20]- [22]. The modeling technique that is discussed here was used to model the progressive damage of a CFRP laminate.…”
Section: Damage Modelmentioning
confidence: 99%
“…Moës, et al [51] used the symbol H(x) for this enrichment function, and subsequent authors have often referred to it as the Heaviside function, e.g. [53,55,57,59], even though the Heaviside step function formally has the property H(ϕ(x)) = 0 if ϕ(x) ≤ 0 [15]. However, the sign and the Heaviside step functions do actually lead to identical results because they span the same approximation space [15].…”
Section: The Stress and Displacement Fieldsmentioning
confidence: 99%
“…However, the sign and the Heaviside step functions do actually lead to identical results because they span the same approximation space [15]. By using the crack tip and step enrichments, an appropriate approximation for the stress and displacement fields may be obtained, both for two-dimensional [51,60] and three-dimensional [57,59] cracks. If we divide the additional degrees of freedom, q, into those around the crack tip, b (indicated by ▲ in Figure 4(b)), and those remaining, a (indicated by • in Figure 4(b)), we can rewrite equation (11) [15]: …”
Section: The Stress and Displacement Fieldsmentioning
confidence: 99%
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“…It is based on the standard finite-element framework and uses a special displacement function to allow the existence of discontinuities, which overcome the need to continuously re-mesh during crack tip expansion process. XFEM were used to calculate SIF, performed crack growth analysis without updating the mesh [8]. The fatigue crack propagation of interface cracks in two-layer materials were studied using XFEM [9], as well as various three-dimensional planes, and non-planar and arbitrary shapes' fatigue crack propagation simulation [10].…”
Section: Introductionmentioning
confidence: 99%