Adaptive dynamic cohesive fracture simulation using nodal perturbation and edge-swap operators

Glaucio H. Paulino, Kyoungsoo Park, Waldemar Celes, Rodrigo Espinha

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

Dependence on mesh orientation impacts adversely the quality of computational solutions generated by cohesive zone models. For instance, when considering crack propagation along interfaces between finite elements of 4k structured meshes, both extension of crack length and crack angle are biased according to the mesh configuration. To address mesh orientation dependence in 4k structured meshes and to avoid undesirable crack patterns, we propose the use of nodal perturbation (NP) and edge-swap (ES) topological operation. To this effect, the topological data structure TopS (Int. J. Numer. Meth. Engng 2005; 64: 1529-1556), based on topological entities (node, element, vertex, edge and facet), is utilized so that it is possible to access adjacency information and to manage a consistent data structure in time proportional to the number of retrieved entities. In particular, the data structure allows the ES operation to be done in constant time. Three representative dynamic fracture examples using ES and NP operators are provided: crack propagation in the compact compression specimen, local branching instability, and fragmentation. These examples illustrate the features of the present computational framework in simulating a range of physical phenomena associated with cracking.

Original languageEnglish
Pages (from-to)1303-1343
Number of pages41
JournalInternational Journal for Numerical Methods in Engineering
Volume84
Issue number11
DOIs
Publication statusPublished - 2010 Dec 1

Fingerprint

Adaptive Dynamics
Swap
Data structures
Mesh
Cracks
Perturbation
Crack propagation
Operator
Data Structures
Crack
Crack Propagation
Simulation
Cohesive Zone Model
Dynamic Fracture
Adjacency
Topological Structure
Cracking
Vertex of a graph
Time Constant
Fragmentation

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

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Adaptive dynamic cohesive fracture simulation using nodal perturbation and edge-swap operators. / Paulino, Glaucio H.; Park, Kyoungsoo; Celes, Waldemar; Espinha, Rodrigo.

In: International Journal for Numerical Methods in Engineering, Vol. 84, No. 11, 01.12.2010, p. 1303-1343.

Research output: Contribution to journalArticle

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