2020
DOI: 10.1002/nme.6453
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Extended isogeometric analysis for cohesive fracture

Abstract: Summary The objective of this study is to present an extended isogeometric formulation for cohesive fracture. The approach exploits the higher order interelement continuity property of nonuniform rational B‐splines (NURBS), in particular the higher accuracy that results for the stress prediction, which yields an improved estimate for the direction of crack propagation compared to customary Lagrangian interpolations. Shifting is used to ensure compatibility with the surrounding discretization, where, different … Show more

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Cited by 15 publications
(93 citation statements)
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“…In an extended finite element approach the displacement field is separated into regular and (possibly multiple) enhanced fields. [7][8][9][10][11]18 It is noted that the partition of unity property of interpolation functions is the requirement for this separation, and also applies to shape functions used in meshless methods and in isogeometric analysis. The regular degrees of freedom a represent the regular continuous displacement field, and the enhanced degrees of freedom b are used for the parameterization of the additional displacement field:…”
Section: Kinematics Of Displacement Discontinuitymentioning
confidence: 99%
See 4 more Smart Citations
“…In an extended finite element approach the displacement field is separated into regular and (possibly multiple) enhanced fields. [7][8][9][10][11]18 It is noted that the partition of unity property of interpolation functions is the requirement for this separation, and also applies to shape functions used in meshless methods and in isogeometric analysis. The regular degrees of freedom a represent the regular continuous displacement field, and the enhanced degrees of freedom b are used for the parameterization of the additional displacement field:…”
Section: Kinematics Of Displacement Discontinuitymentioning
confidence: 99%
“…Herein, a sign function is utilized for modeling the crack as a strong discontinuity. 18 Assuming small strains, the symmetrized gradient of Equation ( 5) reads:…”
Section: Kinematics Of Displacement Discontinuitymentioning
confidence: 99%
See 3 more Smart Citations