Modeling 3D crack propagation in unreinforced concrete using PUFEM

By T. Christian Gasser, Gerhard A. Holzapfel. 2005

190 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ac1a4ecbbb2367ed88ea67fdb9f37ff31aff68b9

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In Mechanics of Materials

Citations in the corpus

On three-dimensional modelling of crack growth using partition of unity methods (2010, methodology): “These techniques were pursued by Gasser and Holzapfel [58,59] andAreias andBelytschko [1].”
Mesh-independent discrete numerical representations of cohesive-zone models (2006, background): “The extension of the partition-of-unity approach to cohesive fracture has been done by Wells and Sluys [26], see also [27–29], while large displacement gradients have been considered in [30,31].”
Towards the algorithmic treatment of 3D strong discontinuities (2006, background): “In combination with the extended finite element method, it has been applied e.g. by Wells et al. [13, 15], Möes & Belytschko [14] and Gasser & Holzapfel [17].”
Element‐local level set method for three‐dimensional dynamic crack growth (2009, methodology): “Initially, our results coincide with the quasi-static results of Gasser and Holzapfel [21] and are oscillation-free.”
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods (2010, methodology): “In the non-local tracking strategy proposed by Gasser and Holzapfel [23, 24 ], the crack surface in the neighborhood of the crack front is smoothed out in a least-square sense by a postprocessing corrector step.”
A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics (2007, methodology): “the crack opening and the tangential part [[u(X)]]τ , the crack sliding, is given by δn = [[u(X)]]n = n · [[u(X)]] (42) δt = [[u(X)]]τ = ‖[[u(X)]] − ([[u(X)]] · n) n‖ (43) We adopt the exponential cohesive law by Gasser and Holzapfel [21], that is based on the following potential: Ψ(i1, i4, δ) = t0 ”
Analysis of three‐dimensional crack initiation and propagation using the extended finite element method (2005, methodology): “We here focus on the geometry of Reference [48].”
A review of extended/generalized finite element methods for material modeling (2009, methodology): “Recent improvements and applications in threedimensional XFEM/GFEM can be found in Areias and Belytschko [2] and Gasser and Holzapfel [47].”
Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy (2017, methodology): “Models developed with this approach include, but are not limited to, cohesive interface elements with or without remeshing [15-22], elements with embedded strong discontinuities [23-28], extended finite elements methods [29-34], and meshless and particle methods [35-39].”
A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM (2006, result): “This effect, that can be also observed to a lesser extent in the E-FEM results, diminishes with the mesh refinement and also appears in the results provided by other authors using X-FEM [9,35].”
hp‐Generalized FEM and crack surface representation for non‐planar 3‐D cracks (2009, methodology): “According to [1, 22, 36], the use of the planar-cut approach in a mixed-mode crack growth simulation, may lead to discontinuous crack surfaces along the boundary between elements.”
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment (2008, methodology): “12 and is similar to the results presented in [26,39,40].”