Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration

M. Kondo, Kenji Oguni

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

Abstract

Dynamic fracture is one of the unsolved problems in the field of continuum solid mechanics. Especially, lack of governing mechanism of dynamic crack propagation velocity makes the problem difficult. Most of the existing numerical analysis methods for dynamic crack propagation introduce rate dependent artificial material parameters. A numerical analysis method for dynamic fracture without the use of rate dependent artificial material parameters is proposed in this paper. All the material parameters used in the proposed method can be experimentally determined. The major technical elements in the proposed method are PDS-FEM (Particle Discretization Scheme Finite Element Method) and newly proposed "working hypothesis on the governing mechanism of dynamic crack propagation." These technical elements introduces (i) simple treatment of fracture and corresponding discontinuity in displacement field, (ii) mechanism for re-distribution of residual nodal force, and (iii) governing mechanism for crack velocity without the use of rate dependent parameters by energy balance consideration.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages1305-1319
Number of pages15
Publication statusPublished - 2012
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 2012 Sep 102012 Sep 14

Other

Other6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
CountryAustria
CityVienna
Period12/9/1012/9/14

Fingerprint

Brittle Fracture
Discretization Scheme
Energy Balance
Brittle fracture
Energy balance
Crack Propagation
Finite Element Method
Propagation
Dynamic Fracture
Finite element method
Crack propagation
Dependent
Numerical Analysis
Numerical analysis
Solid Mechanics
Continuum Mechanics
Redistribution
Discontinuity
Crack
Mechanics

Keywords

  • Dynamic fracture
  • Hamiltonian dynamics
  • Non-overlapping shape functions
  • Particle modeling
  • PDS-FEM
  • Symplectic integrator

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Kondo, M., & Oguni, K. (2012). Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 1305-1319)

Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration. / Kondo, M.; Oguni, Kenji.

ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 1305-1319.

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

Kondo, M & Oguni, K 2012, Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration. in ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. pp. 1305-1319, 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna, Austria, 12/9/10.
Kondo M, Oguni K. Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 1305-1319
Kondo, M. ; Oguni, Kenji. / Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. pp. 1305-1319
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