NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding

Dimitri, Rossana; Lorenzis, Laura De; Wriggers, Peter; Zavarise, Giorgio

doi:10.1007/s00466-014-0991-7

Cited by 77 publications

(32 citation statements)

References 55 publications

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“…using interface elements [11,70,71] or generalized contact elements [72]. More recently, cohesive zone approaches have been proposed within extended FEM [73][74][75] and embedded mesh formulations [76,77], or using isogeometric discretizations [78][79][80][81]. The latter have shown several advantages, due to the higher order continuity conditions achieved.…”

Section: Numerical Examplesmentioning

confidence: 97%

Coupled cohesive zone models for mixed-mode fracture: A comparative study

Dimitri

Trullo

Lorenzis

et al. 2015

Engineering Fracture Mechanics

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105

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Section: Numerical Examplesmentioning

confidence: 97%

Coupled cohesive zone models for mixed-mode fracture: A comparative study

Dimitri

Trullo

Lorenzis

et al. 2015

Engineering Fracture Mechanics

Self Cite

105

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“…The cohesive zone model can be incorporated in the finite element method, and different approaches have been proposed, for instance, using interface elements, remeshing or extended finite element methods . More recently, isogeometric analysis has also been introduced in the context of crack propagation analysis …”

Section: Introductionmentioning

confidence: 99%

Cohesive fracture analysis using Powell‐Sabin B‐splines

Chen

Borst

2018

Num Anal Meth Geomechanics

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Summary Powell‐Sabin B‐splines, which are based on triangles, are employed to model cohesive crack propagation without a predefined interface. The method removes limitations that adhere to isogeometric analysis regarding discrete crack analysis. Isogeometric analysis requires that the initial mesh be aligned a priori with the final crack path to a certain extent. These restrictions are partly related to the fact that in isogeometric analysis, the crack is introduced in the parameter domain by meshline insertions. Herein, the crack is introduced directly in the physical domain. Because of the use of triangles, remeshing and tracking the real crack path in the physical domain is relatively standard. The method can be implemented in existing finite element programmes in a straightforward manner through the use of Bézier extraction. The accuracy of the approach to model free crack propagation is demonstrated by several numerical examples, including discrete crack modelling in an L‐shaped beam and the Nooru‐Mohamed tension‐shear test.

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“…The solution procedure of the non‐linear system of equations is numerically challenging because the cohesive interface approach suffers from an intrinsic discretization sensitivity as reported in, for example, . This sensitivity is characterized by unphysical oscillations in the global load–displacement curve, which result from a cyclic stiffening phenomenon as sketched in the following (cf.…”

Section: Numerical Simulation Of Cohesive Crack Growthmentioning

confidence: 99%

Multi‐level hp‐adaptivity for cohesive fracture modeling

Zander

Ruess

Bog

et al. 2016

Numerical Meth Engineering

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Discretization induced oscillations in the load-displacement curve are a well known problem for simulations of cohesive crack growth with finite elements. The problem results from an insufficient resolution of the complex stress state within the cohesive zone ahead of the crack tip. This work demonstrates that the hp-version of the finite element method is ideally suited to resolve this complex and localized solution characteristic with high accuracy and low computational effort. To this end, we formulate a local and hierarchic mesh refinement scheme that follows dynamically the propagating crack tip. In this way, the usually applied static a priori mesh refinement along the complete potential crack path is avoided, which significantly reduces the size of the numerical problem. Studying systematically the influence of h-, p-and hp-refinement, we demonstrate why the suggested hp-formulation allows to capture accurately the complex stress state at the crack front preventing artificial snapthrough and snap-back effects. This allows to decrease significantly the number of degrees of freedom and the simulation runtime. Furthermore, we show that by combining this idea with the finite cell method, the crack propagation within complex domains can be simulated efficiently without resolving the geometry by the mesh.Keywords: cohesive fracture, automatic hp-adaptivity, arbitrary hanging nodes, dynamic meshes, finite cell method Changes to the manuscript resulting from remarks of Reviewer one are marked in red. Changes resulting from remarks of Reviewer two are marked in blue. Changes resulting from remarks of both reviewers are marked in green. Other textual changes are marked in brown.

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NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding

Cited by 77 publications

References 55 publications

Coupled cohesive zone models for mixed-mode fracture: A comparative study

Coupled cohesive zone models for mixed-mode fracture: A comparative study

Cohesive fracture analysis using Powell‐Sabin B‐splines

Multi‐level hp‐adaptivity for cohesive fracture modeling

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