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

M. Kondo, K. 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 Dec 1
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 2012 Sep 102012 Sep 14

Publication series

NameECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Other

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

Keywords

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

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics

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