Crack propagation criteria in the framework of X‐FEM‐based structural analyses

Dumstorff, Peter; Meschke, Günther

doi:10.1002/nag.560

Cited by 135 publications

(106 citation statements)

References 25 publications

(41 reference statements)

Supporting

Mentioning

103

Contrasting

Order By: Relevance

“…Such criteria were used in the context of XFEM by Meschke and Dummerstorf [300], Dummerstorf and Meschke [301]. It was presented in a two-dimensional setting for cohesive and cohesionless cracks.…”

Section: Energymentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

161

View full text Add to dashboard Cite

An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

show abstract

Section: Energymentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

161

View full text Add to dashboard Cite

show abstract

“…Further details of the X-FEM formulation and its application to fracture mechanics problems can be found in (Wells and Sluys, 2001;Moes and Belytschko, 2002;Zi and Belytschko, 2003;Mariani and Perego, 2003;Legrain et al, 2005;Béchet et al, 2005;Xiao and Karihaloo, 2006;Dumstorff and Meschke, 2007;Yau et al, 1980;Duarte et al, 2001;Nagashima et al, 2003;Xiao and Karihaloo, 2003). …”

Section: Theoretical Background-xfemmentioning

confidence: 99%

“…Xiao and Karihaloo (2006) the accuracy of X-FEM crack tip fields has been improved by using higher order quadrature. Dumstorff and Meschke (2007) the performance of a number of crack propagation in association to the X-FEM method have been numerically assessed. In several papers the stress intensity factors are evaluated at the tip of a 2D crack by using domain forms of the interaction integrals (Yau et al, 1980).…”

Section: Introductionmentioning

confidence: 99%

Robustness of XFEM Method for the Simulation of Cracks Propagation in Fracture Mechanics Problems

Riccio¹,

Caruso²,

Raimondo³

et al. 2016

American Journal of Engineering and Applied Sciences

View full text Add to dashboard Cite

Abstract:In the present paper a numerical sensitivity analysis is presented with the aim to assess the effectiveness of the X-FEM method for fracture mechanics applications. Different test cases have been adopted for the numerical analyses to point out the X-FEM method behavior in 2-D and 3-D elastic and elasto-plastic conditions. Comparisons with a standard ductile damage model have been carried out to highlight the advantages of the XFEM method in terms of mesh size and shape independency when simulating cracks propagation.

show abstract

“…solid mechanics X-FEM (Dumstorff and Meschke 2007;Unger et al 2007). In this example we consider a soft porous material with a Young's modulus of 90.0 MPa and a permeability of 7.5e −3 mm 4 Ns .…”

Section: Mixed-mode Fracturementioning

confidence: 99%

A Partition of Unity-Based Model for Crack Nucleation and Propagation in Porous Media, Including Orthotropic Materials

et al. 2014

View full text Add to dashboard Cite

In this paper, we present a general partition of unity-based cohesive zone model for fracture propagation and nucleation in saturated porous materials. We consider both two-dimensional isotropic and orthotropic media based on the general Biot theory. Fluid flow from the bulk formation into the fracture is accounted for. The fracture propagation is based on an average stress approach. This approach is adjusted to be directionally depended for orthotropic materials. The accuracy of the continuous part of the model is addressed by performing Mandel's problem for isotropic and orthotropic materials. The performance of the model is investigated with a propagating fracture in an orthotropic material and by considering fracture nucleation and propagation in an isotropic mixed-mode fracture problem. In the latter example we also investigated the influence of the bulk permeability on the numerical results.

show abstract

Crack propagation criteria in the framework of X‐FEM‐based structural analyses

Cited by 135 publications

References 25 publications

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Robustness of XFEM Method for the Simulation of Cracks Propagation in Fracture Mechanics Problems

A Partition of Unity-Based Model for Crack Nucleation and Propagation in Porous Media, Including Orthotropic Materials

Contact Info

Product

Resources

About