{"cells":[{"metadata":{"trusted":true},"cell_type":"code","source":"import numpy as np\nimport matplotlib.pyplot as plt\nfrom pyiron import Project\nplt.style.use('default')","execution_count":1,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"pr = Project('Decohesion')","execution_count":2,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"def model(el='Al', strain=None, ds=0, vac=False, repeat=(2,2,6)):\n structure = pr.create_ase_bulk(el, cubic=True).repeat(repeat)\n \n if not vac:\n a3_0 = structure.cell[2, 2]\n if strain is None:\n strain = ds/a3_0\n\n return structure.apply_strain([0, 0, strain], return_box=True)\n else:\n structure.cell[2, 2] += ds\n return structure","execution_count":3,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"model(ds=10, vac=True).plot3d(view_plane=[0,1,0])","execution_count":4,"outputs":[{"output_type":"display_data","data":{"text/plain":"","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"528fd9552f94447fa7fcee99dae92d6c"}},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"26c6d6b5a87745dfbdcf1194b4599d82"}},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"job = pr.create_job(pr.job_type.Lammps, \"test\")\njob.structure = model()\npotential = 'Al_H_Ni_Angelo_eam'\njob.potential = potential","execution_count":5,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"Create an array of elongation we will investigate."},{"metadata":{"trusted":true},"cell_type":"code","source":"ds_list = np.linspace(-1, 6, 51)","execution_count":6,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"An \"interactive job\" keeps the same Lammps instance runnning, while we feed it new structures on the fly. We use it here to supply the strained structures on after the others."},{"metadata":{"trusted":true},"cell_type":"code","source":"job = pr.create_job(pr.job_type.Lammps, \"strain\",True)\njob.structure = model()\njob.potential = potential\njob.interactive_open()\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(ds=ds)\n job.run()\n \njob.interactive_close()","execution_count":7,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file strain\nThe job strain was saved and received the ID: 1\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"`job.output` collects all the output from lammps for each of the structures that we gave during the interactive run."},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(ds_list,job.output.energy_tot,'b', linewidth = 3,label='total energy')\nplt.title('elongation with no seperation')\nplt.xlabel('Elongation [$\\AA$]')\nplt.ylabel('$E$ [eV]')\nplt.legend(loc = 'best', fontsize = 14)","execution_count":8,"outputs":[{"output_type":"execute_result","execution_count":8,"data":{"text/plain":""},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Now repeat the same calculations, but introduce a \"vaccum\" separation between one crystal plane, instead of elastically stretching it. We just perform a static energy calculation here, so this corresponds to the \"rigid\" work of separation as in Rebecca's talk."},{"metadata":{"trusted":true},"cell_type":"code","source":"job = pr.create_job(pr.job_type.Lammps, \"vac\", True)\njob.structure = model()\njob.potential = potential\njob.interactive_open()\njob.calc_static()\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(ds=ds, vac=True)\n job.run()\n \njob.interactive_close()","execution_count":9,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file vac\nThe job vac was saved and received the ID: 3\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"In the decohesion zone model, we assume that crack formation is governed by a simple energy balance between the energy stored in the strain field versus the energy of the two surface energy. Once two surfaces are more favorable crack should form. Below we plot both energies to find that point."},{"metadata":{"trusted":true},"cell_type":"code","source":"strain = pr.load('strain')\nvac = pr.load('vac')\nplt.plot(ds_list, strain['output/generic/energy_tot'], label=strain.name, linewidth = 3)\nplt.plot(ds_list, vac['output/generic/energy_tot'], label=\"crack\", linewidth = 3)\n \nplt.legend()\nplt.title('comparison of two mechanisms')\nplt.xlabel('Elongation [$\\AA$]')\nplt.ylabel('$E$ [eV]')\nplt.legend(loc = 'best', fontsize = 14)","execution_count":10,"outputs":[{"output_type":"execute_result","execution_count":10,"data":{"text/plain":""},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Size Convergence\n\nThe argumentation above has one problem, that the strain energy goes with the volume of the sample, but the crack formation energy only on the surface area. Hence as the total volume increases the energy barrier per atom will decrease. We will repeat both caluclations, but with half the system size in the strain direction."},{"metadata":{"trusted":true},"cell_type":"code","source":"n_layer = 3","execution_count":11,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"job = pr.create_job(pr.job_type.Lammps, f\"strain_l{n_layer}\",True)\njob.structure = model()\njob.potential = potential\njob.interactive_open()\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(ds=ds, repeat = [2, 2, n_layer])\n job.run()\n \njob.interactive_close()","execution_count":12,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file strain_l3\nThe job strain_l3 was saved and received the ID: 14\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"job = pr.create_job(pr.job_type.Lammps, f\"vac_l{n_layer}\", True)\njob.structure = model()\njob.potential = potential\njob.interactive_open()\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(ds=ds, vac=True, repeat=[2, 2, n_layer])\n job.run()\n \njob.interactive_close()","execution_count":13,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file vac_l3\nThe job vac_l3 was saved and received the ID: 25\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"The system sizes are stored for each caluclation step and we can use to normalize the separation to strains. Similarly the atomic structure is saved and we can use its length to normalize to energy per atom."},{"metadata":{"trusted":true},"cell_type":"code","source":"job['output/generic/cells'][:, 2,2]","execution_count":14,"outputs":[{"output_type":"execute_result","execution_count":14,"data":{"text/plain":"array([11.15, 11.29, 11.43, 11.57, 11.71, 11.85, 11.99, 12.13, 12.27,\n 12.41, 12.55, 12.69, 12.83, 12.97, 13.11, 13.25, 13.39, 13.53,\n 13.67, 13.81, 13.95, 14.09, 14.23, 14.37, 14.51, 14.65, 14.79,\n 14.93, 15.07, 15.21, 15.35, 15.49, 15.63, 15.77, 15.91, 16.05,\n 16.19, 16.33, 16.47, 16.61, 16.75, 16.89, 17.03, 17.17, 17.31,\n 17.45, 17.59, 17.73, 17.87, 18.01, 18.15])"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"label_mat=['strain_l6','vac_l6','strain_l3','vac_l3'];\ni=0\njobs = [\n pr.load('strain'),\n pr.load('vac'),\n pr.load('strain_l3'),\n pr.load('vac_l3'),\n]\nfor job in jobs:\n L =job['output/generic/cells'][:, 2,2]\n N = job['output/generic/positions'].shape[1]\n plt.plot(ds_list / L, job['output/generic/energy_tot'] / N, '+',\n label=\"{} N={}\".format(job.name.split('_')[0], N), linewidth = 2)\n\nplt.legend()\nplt.title('Size dependence of the results')\nplt.xlabel('Strain [1]')\nplt.ylabel('$E$ [eV/atom]')","execution_count":15,"outputs":[{"output_type":"execute_result","execution_count":15,"data":{"text/plain":"Text(0, 0.5, '$E$ [eV/atom]')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"We can also look at the stress-strain curves to see different maximum stresses the two mechanism support. Unsurprisingly the crack mode supports a much lower stress."},{"metadata":{"trusted":true},"cell_type":"code","source":"for job in jobs:\n L =job['output/generic/cells'][:, 2,2]\n N = job['output/generic/positions'].shape[1]\n plt.plot(ds_list / L, -job['output/generic/pressures'][:, 2, 2], '+',\n label=\"{} N={}\".format(job.name.split('_')[0], N), linewidth = 2)\n\nplt.legend()\nplt.title('size dependence of the cohesive stress')\nplt.xlabel('strain [1]')\nplt.ylabel('$\\sigma$ [GPa]')","execution_count":16,"outputs":[{"output_type":"execute_result","execution_count":16,"data":{"text/plain":"Text(0, 0.5, '$\\\\sigma$ [GPa]')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"We want to see now the effect of adding hydrogen to our structure. We modify our `model()` to support this by copying the original structure, shifting the positions by (fractional coordinates) 1/4,1/4,1/4 and then adding hydrogen to a random subset of this new lattice. The shift ensures that we place hydrogen on the tetrahydral interstitials."},{"metadata":{"trusted":true},"cell_type":"code","source":"def model(el='Al', strain=None, ds=0, vac=False, n_H=0, repeat=(2,2,6), solute='H'):\n structure = pr.create_ase_bulk(el, cubic=True).repeat(repeat)\n if n_H > 0:\n h_structure = structure.copy()\n h_structure[:] = solute\n pos = h_structure.get_scaled_positions()\n h_structure.set_scaled_positions(pos + 1/4/np.array(repeat))\n structure += h_structure[np.random.choice(len(structure), replace=False, size=n_H)]\n \n if not vac:\n a3_0 = structure.cell[2, 2]\n if strain is None:\n strain = ds/a3_0\n\n return structure.apply_strain([0, 0, strain], return_box=True)\n else:\n structure.cell[2, 2] += ds\n return structure","execution_count":17,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"model(n_H=10).plot3d()","execution_count":18,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget()","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"4eb398af35194246809aef82d9d7e96c"}},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"We now repeat the calculations in Nickel, just strain, strain with additional hydrogen and the vacuum with no hydrogen."},{"metadata":{"trusted":true},"cell_type":"code","source":"n_H = 5\njob = pr.create_job(pr.job_type.Lammps, f\"ni_strain_l{n_layer}\", True)\njob.structure = model(el='Ni', n_H=0, repeat=[4,4,n_layer])\njob.potential = potential\njob.interactive_open()\njob.calc_minimize(n_print=1)\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(el='Ni', n_H=0, ds=ds, repeat=[4, 4, n_layer])\n job.run()\n \njob.interactive_close()","execution_count":19,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file ni_strain_l3\nThe job ni_strain_l3 was saved and received the ID: 37\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"job.animate_structure()","execution_count":20,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget(max_frame=50)","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"1007fd642fd54f69b4dc040de6b01ed0"}},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(job.output.energy_tot,linewidth=3)\nplt.title('Ni-H, $N_H=5$')\nplt.xlabel('separation [A]')\nplt.ylabel('E [eV/atom]')","execution_count":21,"outputs":[{"output_type":"execute_result","execution_count":21,"data":{"text/plain":"Text(0, 0.5, 'E [eV/atom]')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"n_H = 5\njob = pr.create_job(pr.job_type.Lammps, f\"ni_strain_h{n_H}_l{n_layer}\", True)\njob.structure = model(el='Ni', n_H=n_H, repeat=[4,4,n_layer])\njob.potential = potential\njob.interactive_open()\njob.calc_minimize(n_print=1)\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(el='Ni', n_H=n_H, ds=ds, repeat=[4, 4, n_layer])\n job.run()\n \njob.interactive_close()","execution_count":22,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file ni_strain_h5_l3\nThe job ni_strain_h5_l3 was saved and received the ID: 52\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"pr['ni_strain_h5_l3'].animate_structure()","execution_count":23,"outputs":[{"output_type":"display_data","data":{"text/plain":"NGLWidget(max_frame=50)","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"2f4c478ef0fd40c99894122554d65d91"}},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(job.output.energy_tot,linewidth=3)\nplt.title('Ni-H, $N_H=5$')\nplt.xlabel('separation [A]')\nplt.ylabel('E [eV/atom]')","execution_count":24,"outputs":[{"output_type":"execute_result","execution_count":24,"data":{"text/plain":"Text(0, 0.5, 'E [eV/atom]')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"scrolled":true,"trusted":true},"cell_type":"code","source":"job = pr.create_job(pr.job_type.Lammps, f\"ni_vac_l{n_layer}\", True)\njob.structure = model(el='Ni', repeat=[4, 4, n_layer])\njob.potential = potential\njob.interactive_open()\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(el='Ni', ds=ds, vac=True, repeat=[4, 4, n_layer])\n job.run()\n \njob.interactive_close()","execution_count":25,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file ni_vac_l3\nThe job ni_vac_l3 was saved and received the ID: 54\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(ds_list, pr.load('ni_strain_h5_l3').output.energy_tot, label='H')\nplt.plot(ds_list, pr.load('ni_vac_l3').output.energy_tot, label='no H, vacuum')\nplt.plot(ds_list, pr.load('ni_strain_l3').output.energy_tot, label='no H, elastic')\nplt.legend()\nplt.legend()\nplt.title('Effect of H on the decohesion in nickel')\nplt.xlabel('Separation [A]')\nplt.ylabel('E [eV]')","execution_count":26,"outputs":[{"output_type":"execute_result","execution_count":26,"data":{"text/plain":"Text(0, 0.5, 'E [eV]')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(ds_list, -pr.load('ni_strain_h5_l3').output.pressures[:, 2,2], label='H',linewidth=3)\nplt.plot(ds_list, -pr.load('ni_vac_l3').output.pressures[:, 2,2], label = 'no H, vacuum',linewidth=3)\nplt.plot(ds_list, -pr.load('ni_strain_l3').output.pressures[:, 2,2], label = 'no H, elastic',linewidth=3)\nplt.title('Effect of H on the cohesive stress in nickel')\nplt.xlabel('ds (A)')\nplt.ylabel('$\\sigma$ (GPa)')\nplt.legend()\nplt.ylim(0, None)","execution_count":27,"outputs":[{"output_type":"execute_result","execution_count":27,"data":{"text/plain":"(0.0, 40.48155489732791)"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Here we just add another set of calculations with a aluminum solute, to see if the effect is hydrogen specific."},{"metadata":{"trusted":true},"cell_type":"code","source":"n_H = 5\njob = pr.create_job(pr.job_type.Lammps, f\"ni_vac_al{n_H}_l{n_layer}\", True)\njob.structure = model(el='Ni', n_H=n_H, repeat=[4,4,n_layer], solute='Al')\njob.potential = potential\njob.interactive_open()\njob.calc_minimize(n_print=1)\njob.interactive_enforce_structure_reset=True\nfor ds in ds_list:\n job.structure = model(el='Ni', n_H=n_H, ds=ds, vac=True, repeat=[4, 4, n_layer], solute='Al')\n job.run()\n \njob.interactive_close()","execution_count":28,"outputs":[{"output_type":"stream","text":"This group does not exist in the HDF5 file ni_vac_al5_l3\nThe job ni_vac_al5_l3 was saved and received the ID: 55\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(ds_list, pr.load('ni_strain_h5_l3').output.energy_tot, label='Ni-H',linewidth=3)\nplt.plot(ds_list, pr.load('ni_vac_al5_l3').output.energy_tot, label='Ni-Al',linewidth=3)\nplt.plot(ds_list, pr.load('ni_strain_l3').output.energy_tot, label='no H, elastic')\nplt.plot(ds_list, pr.load('ni_vac_l3').output.energy_tot, label='pure Ni',linewidth=3)\nplt.title('Effect of H and Al soluteson the decohesion in nickel')\nplt.xlabel('ds (A)')\nplt.ylabel('$E (eV)')\nplt.legend()","execution_count":29,"outputs":[{"output_type":"execute_result","execution_count":29,"data":{"text/plain":""},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.plot(ds_list, -pr.load('ni_strain_h5_l3').output.pressures[:, 2,2], label='Ni-H',linewidth=3)\nplt.plot(ds_list, -pr.load('ni_vac_al5_l3').output.pressures[:, 2,2], label='Ni-Al')\nplt.plot(ds_list, -pr.load('ni_vac_l3').output.pressures[:, 2,2], label = 'pure Ni')\nplt.plot(ds_list, -pr.load('ni_strain_l3').output.pressures[:, 2,2], label = 'pure Ni, elastic',linewidth=3)\nplt.legend()\nplt.title('Effect of H and Al solutes on the cohesive stress in nickel')\nplt.xlabel('ds (A)')\nplt.ylabel('$\\sigma$ (GPa)')\nplt.legend()\nplt.ylim(0, None)","execution_count":30,"outputs":[{"output_type":"execute_result","execution_count":30,"data":{"text/plain":"(0.0, 40.71221038983637)"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"name":"python3","display_name":"Python 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