TY - GEN
T1 - Analysis of dynamic propagation of brittle fracture by PDS-FEM with energy balance consideration
AU - Kondo, M.
AU - Oguni, K.
PY - 2012/12/1
Y1 - 2012/12/1
N2 - 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.
AB - 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.
KW - Dynamic fracture
KW - Hamiltonian dynamics
KW - Non-overlapping shape functions
KW - PDS-FEM
KW - Particle modeling
KW - Symplectic integrator
UR - http://www.scopus.com/inward/record.url?scp=84871637091&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84871637091&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84871637091
SN - 9783950353709
T3 - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
SP - 1305
EP - 1319
BT - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
T2 - 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Y2 - 10 September 2012 through 14 September 2012
ER -