Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment

Stéphane Bordas, Goangseup Zi, Timon Rabczuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. The novelty of the methodology fashioned in this work is that only an extrinsic discontinuous enrichment and no near-tip/asymptotic enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack along the front. This decreases the computational cost and removes difficulties involved with a branch enrichment. Numerical examples treated include the pull-out of a reinforcement bar from a concrete block, and a Taylor bar impact with very large deformation and fragmentation. The results are compared to experimental results, and other simulations from the literature, which shows the robustness and accuracy of the method.

Original languageEnglish
Title of host publicationSolid Mechanics and its Applications
Pages21-36
Number of pages16
Volume5
DOIs
Publication statusPublished - 2007 Dec 1
EventIUTAM Symposium on Discretization Methods for Evolving Discontinuities - Lyon, France
Duration: 2006 Sep 42006 Sep 7

Publication series

NameSolid Mechanics and its Applications
Volume5
ISSN (Print)18753507

Other

OtherIUTAM Symposium on Discretization Methods for Evolving Discontinuities
CountryFrance
CityLyon
Period06/9/406/9/7

Fingerprint

meshfree methods
fracture mechanics
Fracture mechanics
cracks
Cracks
Concrete blocks
Lagrange multipliers
reinforcement
Coalescence
coalescing
Reinforcement
fragmentation
methodology
costs
Costs
simulation

Keywords

  • Cohesive cracks
  • Discontinuous enrichment
  • Dynamic fracture
  • Extended Element Free Galerkin Method (XEFG)
  • High velocity impact
  • Lagrange multipliers
  • Large deformations

ASJC Scopus subject areas

  • Aerospace Engineering
  • Automotive Engineering
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Acoustics and Ultrasonics

Cite this

Bordas, S., Zi, G., & Rabczuk, T. (2007). Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment. In Solid Mechanics and its Applications (Vol. 5, pp. 21-36). (Solid Mechanics and its Applications; Vol. 5). https://doi.org/10.1007/978-1-4020-6530-9_2

Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment. / Bordas, Stéphane; Zi, Goangseup; Rabczuk, Timon.

Solid Mechanics and its Applications. Vol. 5 2007. p. 21-36 (Solid Mechanics and its Applications; Vol. 5).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Bordas, S, Zi, G & Rabczuk, T 2007, Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment. in Solid Mechanics and its Applications. vol. 5, Solid Mechanics and its Applications, vol. 5, pp. 21-36, IUTAM Symposium on Discretization Methods for Evolving Discontinuities, Lyon, France, 06/9/4. https://doi.org/10.1007/978-1-4020-6530-9_2
Bordas S, Zi G, Rabczuk T. Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment. In Solid Mechanics and its Applications. Vol. 5. 2007. p. 21-36. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-1-4020-6530-9_2
Bordas, Stéphane ; Zi, Goangseup ; Rabczuk, Timon. / Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment. Solid Mechanics and its Applications. Vol. 5 2007. pp. 21-36 (Solid Mechanics and its Applications).
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