A fully automatic polygon scaled boundary finite element method for modelling crack propagation

Abstract

2015) 'A fully automatic polygon scaled boundary nite element method for modelling crack propagation.', Engineering fracture mechanics., 133 . pp. 163-178. Further information on publisher's website:http://dx.doi.org/10.1016/j.engfracmech.2014.11.011Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Engineering Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version was subsequently published in Engineering Fracture Mechanics, 133, January 2015, 10.1016/j.engfracmech.2014.11.011. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

An adaptive cracking particle method for 2D crack propagation

“…The last example is the most challenging, where multiple cracks are considered and there are two holes in the plate, so integration cells around the hole are no longer square. The geometry of this problem is illustrated in Figure , which is the same as in . In particular, L = 20mm, h = 10mm, a = 1mm, h 0 =2.85mm, R = 2mm and d = 3mm.…”

Implementation of a coupled plastic damage distinct lattice spring model for dynamic crack propagation in geomaterials

“…Haeri et al and Haeri et al used the boundary element method to obtain the satisfied crack path, but other crack features, including stress or crack speed, were not mentioned. Similarly, Dai et al used the scaled boundary finite element method (SBFEM) to predict the final crack path, disregarding the features in the evolution process. Ayatollahi et al used the FEM‐based simulator Abaqus to simulate the crack path in semi‐circular bending specimens as well as the fracture toughness, but it can only be applied on simple geometry of the model with single fracture.…”

Scaled Boundary Finite Element Method for Two-Dimensional Linear Multi-Field Media

“…In the numerical study, a series of meshes with N identical linear elements is constructed to discretize the defining curve and solution along the scale boundary direction and 20 Table 7 for various meshes. It is seen for this particular problem that the proposed technique yield highly accurate results even when relatively coarse meshes containing only few degrees of freedom are employed.…”

“…For fracture problems, the scaling center is commonly located at the crack tip and, as a result, the stress field can be expressed analytically along the direction radiating from the crack tip. As a result, the strength of singularity and associated information can be directly and accurately calculated from the obtained solution [19,20]. Based on this positive feature, the method has been extensively utilized in the investigation and simulations of fracture problems under various scenarios such as crack formation, static and dynamic crack propagation, and transient responses of bodies containing interfacial cracks, stress singularities and bi-material interfaces [21,22].…”