Optimal-Transportation Meshfree Approximation Schemes - Solid ...

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Variational Fracture & fragmentation rate (G) -release r Energy- crack extension (Δa) M. Ortiz and A.E. Giannakopoulos, Int. J. Fracture, 44 (1990) 233-258. Michael Ortiz UCLA 02/22/10
OTM – Fracture & fragmentation Crack growth in mixed mode M. Ortiz and A.E. Giannakopoulos, Int Int. J J. Fracture Fracture, 44 (1990) 233 233-258. 258 • Fracture energy over-estimated as h → 0! • Non Non-convergence con e gence fo for gene general al paths, paths meshes! Michael Ortiz UCLA 02/22/10
Page 1 and 2: Optimal-Transportation Meshfree App
Page 3 and 4: Caltech PSAAP Center Objective: Pre
Page 5 and 6: Simulation requirements • Hyperve
Page 7 and 8: Optimal transportation theory Gaspa
Page 9 and 10: Mass flows ─ Optimal transportati
Page 11 and 12: Optimal-Transportation Meshfree (OT
Page 13 and 14: OTM ─ Spatial discretization Stee
Page 15 and 16: material points i OTM ─ Spatial d
Page 17 and 18: OTM ─ Max-ent interpolation Micha
Page 19 and 20: material points i OTM ─ Spatial d
Page 21 and 22: OTM ─ Spatial discretization Np =
Page 23 and 24: OTM ─ Flow chart (i) Explicit nod
Page 25 and 26: (Kg/m ) 3 ) density OTM ─ Riemann
Page 27 and 28: ocity L error norm 2 vel e OTM ─
Page 29 and 30: OTM ─ Taylor anvil test t=0 t 0 t
Page 31 and 32: OTM ─ Bouncing balloons FE membra
Page 33 and 34: OTM ─ Bouncing balloons FE membra
Page 35 and 36: OTM ─ Seizing contact body 1 body
Page 37: Variational Fracture & fragmentatio
Page 41 and 42: Variational Fracture & fragmentatio
Page 43 and 44: QMU - Simulation codes - OTM Michae
Page 45 and 46: QMU - Simulation codes - OTM Michae
Page 47 and 48: OTM ─ Summary and outlook • Opt

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