ToDo

[thomas-allard]

1. Elastic

Theory

• [x] Finalize PDEs
• [x] Formulate derivatives and other PINN requirements

Abaqus

• [x] Piece out simulation parameters E = 210 GPa, nu=0.3,
• [x] Extract field output
  • [x] Displacement components: ux, uy
  • [x] Stress components: Mises, S11, S22, S12
  • [x] Strain components: NE11, NE22, NE12
• [x] Extract nodal coordinates

Python

• [x] Determine best data format for data
  • [x] Creating an xarray DataSet works in an interactive python job, but it won't save to netCDF for some reason...
  • [x] Probably need to pad all the step numbers with zeros so they sort correctly
• [x] Parse out Yang's PINN code
• [x] Implement PINN

Questions

• [x] How do we get Haghighat et al. PINN to work for our case? Their lambda and mu are 1 and 0.5, respectively, while ours are 120 and 80.
• [ ]

Goals

• [x] Implement PINN on purely elastic system
  • [x] Discover elastic parameters - no noise
  • [ ] Discover elastic parameters - with noise

2. Fracture Theory

• [ ] Finalize PDEs
• [ ] Formulate derivatives and other PINN requirements

Abaqus

• [x] Piece out LEFM XFEM simulation parameters E = 210 GPa, nu=0.3, sig_max (maximum principal stress)=220MPa, Gf (fracture energy) = 42,200 N/m
• [ ] Figure out how to calculate crack length through duration of the simulation
• [x] Extract field output again
  • [x] Displacement components: ux, uy
  • [x] Stress components: Mises, S11, S22, S12
  • [x] Strain components: NE11, NE22, NE12
• [x] Extract nodal coordinates

Python

• [ ] Implement PINN for fracture

Goals

• [ ] Implement PINN on Mode I system - Discover parameters

  • [ ] Failure criteria (fix elastic parameters) - no noise
  • [ ] All four - no noise
  • [ ] Failure criteria (fix elastic parameters) - with noise
  • [ ] All four - with noise

• [ ] Implement PINN on Mode II system (STRETCH)

• [ ] Implement PINN on Mixed mode system --> predict KI and KII for a given crack? (STRETCH)

• 3. Final Deliverables

• [ ] Write paper, due April 28th

• [x] Make presentation, presenting April 26th, last slot, 20-25 minutes

[thomas-allard]

From Meeting 4/6/2022 From Me to Everyone 04:05 PM https://github.com/thomas-allard/datafrac/issues/1 https://mechanicalc.com/reference/fracture-mechanics From Me to Everyone 04:20 PM https://www.efunda.com/formulae/solid_mechanics/mat_mechanics/calc_elastic_constants.cfm#calc From Me to Everyone 04:26 PM https://www.continuummechanics.org/ ^ solid mechanics background From Me to Everyone 04:35 PM http://ceae-server.colorado.edu/v2016/ search: xfem -> abaqus benchmarks guide ->1.19.1 Crack propagation of a single-edge notch simulated using XFEM XFEM-based LEFM approach: crackprop_model_lefm_xfem_cpe4.inp From Me to Everyone 04:48 PM https://www.sciencedirect.com/science/article/pii/S0045782516300238?via%3Dihub From Me to Everyone 04:55 PM http://kgut.ac.ir/useruploads/1555217673573rxl.pdf