2009
DOI: 10.1007/s10704-009-9344-5
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A phantom node formulation with mixed mode cohesive law for splitting in laminates

Abstract: A phantom node method with mixed mode cohesive law is proposed for the simulation of splitting in laminates. With this method, a discontinuity in the displacement field can be modeled at arbitrary locations. The micromechanical phenomenon that splitting cracks grow parallel to the fiber, is incorporated on the mesolevel, i.e., in the homogenized ply, by setting the direction of the crack propagation equal to the fiber direction. A new mixed mode cohesive law is introduced for increased robustness of the increm… Show more

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Cited by 158 publications
(20 citation statements)
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“…When the interaction of two modes is taken into account, a mixed-mode damage law by Turon can be used [3]. Van der Meer formulated a phantom node formulation with the mixed-mode cohesive law [9].…”
Section: Cohesive Lawmentioning
confidence: 99%
“…When the interaction of two modes is taken into account, a mixed-mode damage law by Turon can be used [3]. Van der Meer formulated a phantom node formulation with the mixed-mode cohesive law [9].…”
Section: Cohesive Lawmentioning
confidence: 99%
“…In composite failure analysis, another class of methods, the phantom node method (PNM) [13][14][15][16][17][18] and the augmented finite-element method (A-FEM) [19][20][21], are more widely used. These methods are derived from the seminal work of Hansbo & Hansbo [22] and further developed in [13,14].…”
Section: Introductionmentioning
confidence: 99%
“…These methods are derived from the seminal work of Hansbo & Hansbo [22] and further developed in [13,14]. Other emerging methods for composite failure analyses include the regularized FEM (RxFEM) of Iarve et al [23,24] and the continuum-decohesion FEM by Waas and co-workers [25].…”
Section: Introductionmentioning
confidence: 99%
“…The use of cohesive zones within the plies using the extended finite element method, see e.g. [8], or the phantom node method [9] does not suffer from the loss of solution uniqueness.…”
Section: Introductionmentioning
confidence: 99%