A phantom node formulation with mixed mode cohesive law for splitting in laminates

By F. P. van der Meer, Lambertus J. Sluys. 2009

189 citations recorded by the source corpus.

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 incremental-iterative solution procedure. The model is validated with mixed mode bending tests, and its utility is illustrated with examples for a single ply and for a laminate.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/25f5c34559de785d41f3f634e71c419a547c830c

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In Mechanics of Materials

Citations in the corpus

Modeling bimaterial interface cracks using the numerical manifold method (2013, methodology): “Typical examples include the cloud-based hp FEM [1], the extended finite element method (XFEM) [2–4], the generalized finite element method (GFEM) [5,6], the phantom node method [7] and the improved finite element method [8].”
An efficient augmented finite element method for arbitrary cracking and crack interaction in solids (2014, methodology): “Another important class of numerical methods is the partition-of-unity (PoU)-based finite element methods [7], including the generalized finite element method (G-FEM) [8–11], extended finite element method (X-FEM) [12–20] and the phantom node method (PNM) [21–27].”
Computational modeling of complex failure mechanisms in laminates (2012, methodology): “and Van der Meer and Sluys.(43) With this method, initiation of cracks is possible at arbitrary locations, except that a minimum spacing between the cracks has to be fixed numerically when no more than one layer of elements is used for the through-thickness discretization.”