예제 #1
0
class Model():
    def __init__(self, **kwargs):
        self.options = FixedDict({
            "Micro Model Base Name":
            "cell_scale",
            "Macro Model Geometry File":
            "tissue.vtr",
            "Macro Model Plot File":
            "tissue.xplt",
            "Shape Parameters":
            FixedDict({
                "PCM Radius": [6.976, 3.9763, 2.9175],
                "Cell Radius": [6.0, 3.0, 2.0],
                "PCM Squareness": [2.1, 2.1, 2.1],
                "Cell Squareness": [2.1, 2.1, 2.1]
            }),
            "Mesh Divisions":
            FixedDict({
                "Cell": 4.0,
                "PCM": 6.0,
                "ECM": 5.0
            }),
            "Symmetry":
            "full",
            "Cell Shifts": {
                "neutral": 0.0
            },
            "Model Centroids": [[50, 50, 490]],
            "Material Properties":
            FixedDict({
                "PCM E ratio": 0.2,
                "PCM v ratio": 1.0,
                "PCM beta ratio": 1.0,
                "PCM phi": 0.2,
                "PCM perm ratio": 1.0,
                "PCM m": 4.638,
                "PCM alpha": 0.0848,
                "Cell Modulus": 0.001,
                "Cell Poisson": 0.01,
                "Cell Permeability": 1e-3,
                "Cell phi": 0.1,
                "Membrane Modulus": 0.001,
                "Membrane Poisson": 0.0,
                "Membrane Permeability": 7e-10,
                "Membrane phi": 0.1,
                "Membrane Thickness": 1e-5
            })
        })

        self.config = None

        for key, value in kwargs.items():
            if key == "options":
                for k, v in value.items():
                    for k2, v2 in v.items():
                        self.options[k][k2] = v2
            else:
                setattr(self, key, value)

        if self.config is not None:
            self.parseConfig()

        self.ecm_materials = {}
        self.pcm_materials = {}

        print(
            "... Extracting Macro Scale Results and Geometry from \n\t {} and {}"
            .format(self.options["Macro Model Plot File"],
                    self.options["Macro Model Geometry File"]))
        self.assembleMacroData()
        print("... Extraction Complete")
        for case, shift in self.options["Cell Shifts"].items():
            print("... Creating Mesh for {} case".format(case))
            self.makeMesh(shift)
            print("... Mesh Completed")
            for translation in self.options["Model Centroids"]:
                print(
                    "... ... Creating FEBio model for {} case at location: {:6.3f}, {:6.3f}, {:6.3f}"
                    .format(case, *translation))
                self.make_febio_model(case, translation)
                print("... ... Model written to {}_{}_{:d}.feb".format(
                    self.options["Micro Model Base Name"], case,
                    int(translation[2])))

    def parseConfig(self):
        """
        Parse configuration file in YAML format.
        """
        with open(self.config) as user:
            user_settings = yaml.safe_load(user)

        for k, v in list(user_settings.items()):
            if isinstance(v, dict):
                for k2, v2 in list(v.items()):
                    self.options[str(k)][str(k2)] = v2
            else:
                self.options[str(k)] = v

    def assembleMacroData(self):
        # read macro_model from vtk grid
        reader = vtk.vtkXMLRectilinearGridReader()
        reader.SetFileName(self.options["Macro Model Geometry File"])
        reader.Update()
        self.macro_data = reader.GetOutput()

        # parse FEBio xplt
        self.macro_results = febio.FebPlt(
            self.options["Macro Model Plot File"])

    def makeMesh(self, cell_shift):
        resolution = 500  # Image resolution for image-based mesh
        cell_diameter = [
            r * 2 for r in self.options["Shape Parameters"]["Cell Radius"]
        ]
        pcm_diameter = [
            r * 2 for r in self.options["Shape Parameters"]["PCM Radius"]
        ]
        ecm_diameter = [d * 10.0**(1. / 3.) for d in pcm_diameter]

        cell_exponent = list(
            self.options["Shape Parameters"]["Cell Squareness"])
        pcm_exponent = list(self.options["Shape Parameters"]["PCM Squareness"])
        ecm_exponent = pcm_exponent

        symmetry = self.options["Symmetry"]
        if symmetry == 'full':
            position = [0.5, 0.5, 0.5]
            cell_position = [0.5, 0.5, 0.5 + cell_shift / ecm_diameter[2]]
        elif symmetry == 'half':
            position = [0.0, 0.5, 0.5]
            cell_position = [0.0, 0.5, 0.5 + cell_shift / ecm_diameter[2]]
        elif symmetry == 'quarter':
            position = [0.0, 0.0, 0.5]
            cell_position = [0.0, 0.0, 0.5 + cell_shift / ecm_diameter[2]]
        else:
            raise KeyError(
                "Symmetry must be set to 1 of the following: full, half, quarter"
            )

        dmax = np.max(ecm_diameter)
        resolution = [int(d3 / dmax * resolution) for d3 in ecm_diameter]

        semisizes1 = [
            0.5 * d1 / d3 for d1, d3 in zip(cell_diameter, ecm_diameter)
        ]
        semisizes2 = [
            0.5 * d2 / d3 for d2, d3 in zip(pcm_diameter, ecm_diameter)
        ]

        s1 = raster_geometry.nd_superellipsoid(resolution,
                                               semisizes=semisizes1,
                                               indexes=cell_exponent,
                                               position=cell_position,
                                               smoothing=True)
        s2 = raster_geometry.nd_superellipsoid(resolution,
                                               semisizes=semisizes2,
                                               indexes=pcm_exponent,
                                               position=position,
                                               smoothing=True)
        s3 = raster_geometry.nd_superellipsoid(resolution,
                                               semisizes=[0.5, 0.5, 0.5],
                                               indexes=ecm_exponent,
                                               position=position,
                                               smoothing=True)

        s1 += 0.2
        s2 += 0.2
        s3 += 0.2

        v = s1.astype(np.uint8) + s2.astype(np.uint8) + s3.astype(np.uint8)

        h = [r / res for res, r in zip(resolution, ecm_diameter)]

        divisions = self.options["Mesh Divisions"]
        cell_sizes_map = {
            1:
            np.min(np.array(ecm_diameter) - np.array(pcm_diameter)) /
            divisions["ECM"] / 2.0,
            2:
            np.min(np.array(pcm_diameter) - np.array(cell_diameter)) /
            divisions["PCM"] / 2.0,
            3:
            np.min(np.array(cell_diameter)) / divisions["Cell"] / 2.0
        }

        max_facet_distance = np.min(h)
        if symmetry != 'full':
            max_facet_distance /= 2.0

        mesh = pygalmesh.generate_from_array(
            v,
            h,
            max_facet_distance=max_facet_distance,
            max_radius_surface_delaunay_ball=cell_sizes_map[1],
            max_circumradius_edge_ratio=1.3,
            max_cell_circumradius=cell_sizes_map,
            max_edge_size_at_feature_edges=cell_sizes_map[2],
            lloyd=True,
            odt=True,
            verbose=False)
        mesh.points = (mesh.points - np.array(ecm_diameter) / 2.0) / 1000.

        self.nodes = mesh.points
        # Get face connectivity and flatten - keep only unique node ids
        surface = np.sort(np.unique(mesh.get_cells_type('triangle').ravel()))
        # Get Domain IDs of all nodes
        node_type = mesh.point_data['medit:ref']
        # Keep domain ID of only face nodes
        s_node_types = node_type[surface]
        # Define node set for outermost faces - domain ID = 1
        self.surface_nodes = surface[s_node_types == 1]

        self.elements = mesh.get_cells_type('tetra')
        # get the domain ID of the solid elements
        element_data = mesh.get_cell_data('medit:ref', 'tetra')
        # Make sets from domain IDs
        self.cell_set = np.argwhere(element_data == 3)
        self.pcm_set = np.argwhere(element_data == 2)
        self.ecm_set = np.argwhere(element_data == 1)

        # Get Face connectivity list
        triangles = mesh.get_cells_type('triangle')
        # Get Domain ID of face elements
        surface_data = mesh.get_cell_data('medit:ref', 'triangle')
        # Define membrane elements - Domain ID = 3
        self.membrane = triangles[surface_data == 3]
        # Define element set for membrane
        self.membrane_set = np.argwhere(surface_data == 3)

    def make_vtk(self, translation):
        vtk_mesh = vtk.vtkUnstructuredGrid()
        translated_nodes = self.nodes + np.array(translation) / 1000.
        nodearray = numpy_support.numpy_to_vtk(translated_nodes.ravel(),
                                               deep=True,
                                               array_type=vtk.VTK_DOUBLE)
        nodearray.SetNumberOfComponents(3)
        nodes = vtk.vtkPoints()
        nodes.SetData(nodearray)
        vtk_mesh.SetPoints(nodes)

        element_array = np.hstack([
            np.ones((self.elements.shape[0], 1), dtype=int) * 4, self.elements
        ])
        size = element_array.size
        element_array = numpy_support.numpy_to_vtk(element_array.ravel(),
                                                   deep=True,
                                                   array_type=vtk.VTK_ID_TYPE)
        elements = vtk.vtkCellArray()
        elements.SetCells(size // 5, element_array)
        vtk_mesh.SetCells(10, elements)

        element_set = self._interpMaterials(vtk_mesh)
        element_set[self.cell_set] = 1
        element_set = numpy_support.numpy_to_vtk(element_set.ravel(),
                                                 deep=True,
                                                 array_type=vtk.VTK_CHAR)
        element_set.SetNumberOfComponents(1)
        element_set.SetName('Material ID')
        vtk_mesh.GetCellData().AddArray(element_set)

        return vtk_mesh

    def _interpMaterials(self, polydata):
        self.ecm_materials = {}
        self.pcm_materials = {}
        probe = vtk.vtkProbeFilter()
        probe.SetSourceData(self.macro_data)
        probe.SetInputData(polydata)
        probe.PassPointArraysOff()
        probe.PassCellArraysOn()
        probe.Update()

        to_cell = vtk.vtkPointDataToCellData()
        to_cell.SetInputData(probe.GetOutput())
        to_cell.Update()
        mapped_data = to_cell.GetOutput()
        materialIDs = numpy_support.vtk_to_numpy(
            mapped_data.GetCellData().GetArray('ElementSetID')).astype(int)
        ksi = numpy_support.vtk_to_numpy(
            mapped_data.GetCellData().GetArray('ksi'))
        E = numpy_support.vtk_to_numpy(mapped_data.GetCellData().GetArray('E'))
        v = numpy_support.vtk_to_numpy(mapped_data.GetCellData().GetArray('v'))
        beta = numpy_support.vtk_to_numpy(
            mapped_data.GetCellData().GetArray('beta'))
        phi = numpy_support.vtk_to_numpy(
            mapped_data.GetCellData().GetArray('phi'))
        permeability = numpy_support.vtk_to_numpy(
            mapped_data.GetCellData().GetArray('permeability'))
        m = numpy_support.vtk_to_numpy(mapped_data.GetCellData().GetArray('m'))
        alpha = numpy_support.vtk_to_numpy(
            mapped_data.GetCellData().GetArray('alpha'))
        unique_materialIDs = np.sort(np.unique(materialIDs))

        pcm_counter = 0
        pcm_offset = unique_materialIDs.size
        for i, matid in enumerate(unique_materialIDs):
            idx = np.argwhere(materialIDs == matid)
            ecm_ids = np.intersect1d(idx.ravel(), self.ecm_set)
            pcm_ids = np.intersect1d(idx.ravel(), self.pcm_set)
            E_ratio = self.options['Material Properties']['PCM E ratio']
            v_ratio = self.options['Material Properties']['PCM v ratio']
            beta_ratio = self.options['Material Properties']['PCM beta ratio']
            perm_ratio = self.options['Material Properties']['PCM perm ratio']
            self.ecm_materials[i + 3] = {
                'E': E[idx[0]][0],
                'v': v[idx[0]][0],
                'beta': beta[idx[0]][0],
                'phi': phi[idx[0]][0],
                'permeability': permeability[idx[0]][0],
                'm': m[idx[0]][0],
                'alpha': alpha[idx[0]][0],
                'ksi': ksi[idx[0], :][0],
                'element_ids': ecm_ids
            }
            materialIDs[ecm_ids] = i + 3
            if pcm_ids.any():
                self.pcm_materials[pcm_counter + 3 + pcm_offset] = {
                    'E': E[idx[0]][0] * E_ratio,
                    'v': v[idx[0]][0] * v_ratio,
                    'beta': beta[idx[0]][0] * beta_ratio,
                    'phi': phi[idx[0]][0],
                    'permeability': permeability[idx[0]][0] * perm_ratio,
                    'm': m[idx[0]][0],
                    'alpha': alpha[idx[0]][0],
                    'element_ids': pcm_ids
                }
                materialIDs[pcm_ids] = pcm_counter + 3 + pcm_offset
                pcm_counter += 1
        return materialIDs

    def make_febio_model(self, case, translation):
        model_name = "{}_{}_{:d}".format(self.options["Micro Model Base Name"],
                                         case, int(translation[2]))
        fe_mesh = febio.MeshDef()
        for i in range(self.nodes.shape[0]):
            fe_mesh.nodes.append([i + 1] + list(self.nodes[i, :] +
                                                np.array(translation) / 1000.))

        for i in range(self.elements.shape[0]):
            fe_mesh.elements.append(['tet4', i + 1] +
                                    list(self.elements[i, :] + 1))

        membrane_set = np.zeros(self.membrane.shape[0], dtype=int)
        for i in range(self.membrane.shape[0]):
            fe_mesh.elements.append(['tri3', i + 1 + self.elements.shape[0]] +
                                    list(self.membrane[i] + 1))
            membrane_set[i] = i + 1 + self.elements.shape[0]

        vtkmesh = self.make_vtk(translation)
        writer = vtk.vtkXMLUnstructuredGridWriter()
        writer.SetFileName(model_name + '.vtu')
        writer.SetInputData(vtkmesh)
        writer.Write()
        # Cell Element Set
        fe_mesh.addElementSet(setname='Cell', eids=self.cell_set + 1)
        # Membrane Element Set
        fe_mesh.addElementSet(setname='Membrane', eids=membrane_set)
        # PCM Element Set
        for k, v in self.pcm_materials.items():
            fe_mesh.addElementSet(setname='PCM {:d}'.format(k),
                                  eids=v['element_ids'] + 1)
        # ECM Element Set
        for k, v in self.ecm_materials.items():
            fe_mesh.addElementSet(setname='ECM {:d}'.format(k),
                                  eids=v['element_ids'] + 1)

        fe_model = febio.Model(modelfile='.'.join([model_name, 'feb']),
                               steps=[{
                                   'Displace': 'biphasic'
                               }])

        mat_props = self.options["Material Properties"]
        # Cell Material
        cell_mat = febio.MatDef(
            matid=1,
            mname='Cell',
            mtype='biphasic',
            elsets='Cell',
            attributes={'phi0': '{:.6E}'.format(mat_props["Cell phi"])})
        cell_mat.addBlock(branch=1,
                          btype='solid',
                          mtype='neo-Hookean',
                          attributes={
                              "E": "{:.6E}".format(mat_props["Cell Modulus"]),
                              "v": "{:.6E}".format(mat_props["Cell Poisson"])
                          })
        cell_mat.addBlock(branch=1,
                          btype='permeability',
                          mtype='perm-const-iso',
                          attributes={
                              "perm":
                              "{:.6E}".format(mat_props["Cell Permeability"])
                          })
        fe_model.addMaterial(cell_mat)

        # Membrane Material
        mem_mat = febio.MatDef(
            matid=2,
            mname='Membrane',
            mtype='biphasic',
            elsets='Membrane',
            attributes={"phi0": "{:.6E}".format(mat_props["Membrane phi"])})
        mem_mat.addBlock(branch=1,
                         btype='solid',
                         mtype='neo-Hookean',
                         attributes={
                             "E":
                             "{:.6E}".format(mat_props["Membrane Modulus"]),
                             "v":
                             "{:.6E}".format(mat_props["Membrane Poisson"])
                         })
        mem_mat.addBlock(branch=1,
                         btype='permeability',
                         mtype='perm-const-iso',
                         attributes={
                             "perm":
                             "{:.6E}".format(
                                 mat_props["Membrane Permeability"])
                         })
        fe_mesh.addElementData(elset='Membrane',
                               attributes={
                                   "thickness":
                                   "{:.6E}".format(
                                       mat_props["Membrane Thickness"])
                               })
        fe_model.addMaterial(mem_mat)
        # ECM Materials
        ecm_mats = []
        for k, v in self.ecm_materials.items():
            mname = 'ECM {:d}'.format(k)
            ecm_mats.append(
                febio.MatDef(matid=k,
                             mname=mname,
                             mtype='biphasic',
                             elsets=mname,
                             attributes={'phi0': '{:6E}'.format(v['phi'])}))
            ecm_mats[-1].addBlock(
                branch=1,
                btype='solid',
                mtype='solid mixture',
                attributes={'mat_axis': ['vector', "1,0,0", "0,1,0"]})
            ecm_mats[-1].addBlock(branch=2,
                                  btype='solid',
                                  mtype='Holmes-Mow',
                                  attributes={
                                      "E": "{:.6E}".format(v["E"]),
                                      "v": "{:.6E}".format(v["v"]),
                                      "beta": "{:.6E}".format(v["beta"])
                                  })
            ecm_mats[-1].addBlock(
                branch=2,
                btype='solid',
                mtype='ellipsoidal fiber distribution',
                attributes={
                    "ksi":
                    "{:.6E}, {:.6E}, {:.6E}".format(v["ksi"][0], v["ksi"][1],
                                                    v["ksi"][2]),
                    "beta":
                    "{:.6E}, {:.6E}, {:.6E}".format(2.0, 2.0, 2.0)
                })
            ecm_mats[-1].addBlock(branch=1,
                                  btype='permeability',
                                  mtype='perm-Holmes-Mow',
                                  attributes={
                                      "perm":
                                      "{:.6E}".format(v["permeability"]),
                                      "M": "{:.6E}".format(v["m"]),
                                      "alpha": "{:.6E}".format(v["alpha"])
                                  })

            fe_model.addMaterial(ecm_mats[-1])

        # PCM Material
        pcm_mats = []
        for k, v in self.pcm_materials.items():
            mname = 'PCM {:d}'.format(k)
            pcm_mats.append(
                febio.MatDef(matid=k,
                             mname=mname,
                             mtype='biphasic',
                             elsets=mname,
                             attributes={'phi0': '{:6E}'.format(v['phi'])}))
            pcm_mats[-1].addBlock(branch=1,
                                  btype='solid',
                                  mtype='Holmes-Mow',
                                  attributes={
                                      "E": "{:.6E}".format(v["E"]),
                                      "v": "{:.6E}".format(v["v"]),
                                      "beta": "{:.6E}".format(v["beta"])
                                  })
            pcm_mats[-1].addBlock(branch=1,
                                  btype='permeability',
                                  mtype='perm-Holmes-Mow',
                                  attributes={
                                      "perm":
                                      "{:.6E}".format(v["permeability"]),
                                      "M": "{:.6E}".format(v["m"]),
                                      "alpha": "{:.6E}".format(v["alpha"])
                                  })

            fe_model.addMaterial(pcm_mats[-1])

        fe_model.addGeometry(mesh=fe_mesh,
                             mats=[cell_mat, mem_mat] + ecm_mats + pcm_mats)

        # Boundary Conditions
        fe_model.addLoadCurve(lc='1',
                              lctype='linear',
                              points=np.ravel(
                                  list(
                                      zip(self.macro_results.TIME,
                                          self.macro_results.TIME))))
        boundary = febio.Boundary()
        nids = self.surface_nodes
        dx, dy, dz, p = self._interpBCs(vtkmesh)
        cnt = 2
        for i in range(dx.shape[0]):
            fe_model.addLoadCurve(
                lc='{:d}'.format(cnt),
                lctype='smooth',
                points=np.ravel(list(zip(self.macro_results.TIME, dx[i, :]))))
            boundary.addPrescribed(nodeid=nids[i] + 1,
                                   scale=1.0,
                                   dof='x',
                                   lc='{:d}'.format(cnt))
            cnt += 1
            fe_model.addLoadCurve(
                lc='{:d}'.format(cnt),
                lctype='smooth',
                points=np.ravel(list(zip(self.macro_results.TIME, dy[i, :]))))
            boundary.addPrescribed(nodeid=nids[i] + 1,
                                   scale=1.0,
                                   dof='y',
                                   lc='{:d}'.format(cnt))
            cnt += 1
            fe_model.addLoadCurve(
                lc='{:d}'.format(cnt),
                lctype='smooth',
                points=np.ravel(list(zip(self.macro_results.TIME, dz[i, :]))))
            boundary.addPrescribed(nodeid=nids[i] + 1,
                                   scale=1.0,
                                   dof='z',
                                   lc='{:d}'.format(cnt))
            cnt += 1
            fe_model.addLoadCurve(
                lc='{:d}'.format(cnt),
                lctype='smooth',
                points=np.ravel(list(zip(self.macro_results.TIME, p[i, :]))))
            boundary.addPrescribed(nodeid=nids[i] + 1,
                                   scale=1.0,
                                   dof='p',
                                   lc='{:d}'.format(cnt))
            cnt += 1
        fe_model.addBoundary(boundary)

        ctrl = febio.Control()
        ctrl.setAttributes({
            'title':
            model_name,
            'time_steps':
            '{:d}'.format(
                np.ceil(self.macro_results.TIME[-1] /
                        self.macro_results.TIME[1]).astype(int)),
            'step_size':
            '{:12.6f}'.format(self.macro_results.TIME[1]),
            'time_stepper': {
                'aggressiveness': '0',
                'dtmin': '0.01',
                'dtmax': 'lc=1',
                'max_retries': '10',
                'opt_iter': '10'
            },
            'max_ups':
            '0',
            'max_refs':
            '10',
            'dtol':
            '0.001',
            'ptol':
            '0.01',
            'lstol':
            '0.9',
            'plot_level':
            'PLOT_MUST_POINTS'
        })
        fe_model.addControl(ctrl, step=0)
        fe_model.addOutput(output=[
            "shell strain", "Lagrange strain",
            "effective shell fluid pressure", "relative volume"
        ])

        fe_model.writeModel()
예제 #2
0
import febio

# create a MeshDef object, mesh, reading in simpleblock.inp in abaqus format
mesh = febio.MeshDef('simpleblock.inp','abq')

# create a Model obect, model, that will be written to test.feb
# NOTE: all steps and modules for those steps are defined here
# default if blank is 1 step with module type "solid" 
model = febio.Model(modelfile='multi_step.feb',steps=[{'Displace': 'solid'}, {'Load': 'solid'}])

#make a material
mat1 = febio.MatDef(matid=1,mname='Material 1',mtype='neo-Hookean',
elsets=['exmymzm','exmypzm','exmymzp','exmypzp','expymzm','expypzm','expymzp','expypzp'],attributes={'density': '1.0', 'E': '1000.0','v': '0.3'})

#add the material to the model
model.addMaterial(mat1)

#make the geometry section of the model
model.addGeometry(mesh=mesh,mats=[mat1])

#define a loadcurve
model.addLoadCurve(lc='1',lctype='linear',points=[0,0,1,1])
model.addLoadCurve(lc='2',lctype='linear',points=[1,0,2,1])

#initialize a boundary condition object
boundary = febio.Boundary(steps=2)
#add a fixed boundary condition to bottom z nodes
boundary.addFixed(nset=mesh.nsets['nzm'],dof='xyz')
#add a prescribed displace to top z nodes for step 1
boundary.addPrescribed(step=0,nset=mesh.nsets['nzp'],dof='z',lc='1',scale='0.1')
#add a relative prescribed displacement to top z nodes for step 2
예제 #3
0
    def performFEA(self):
        for filename in self.pickles:
            fid = open(filename, 'rb')
            self.data[filename] = pickle.load(fid)
            fid.close()

            mesh = febio.MeshDef()
            # would be good to vectorize these
            for i, e in enumerate(self.data[filename]['elements']):
                mesh.elements.append(['tet4', i + 1] + e)

            for i, n in enumerate(self.data[filename]['nodes']):
                mesh.nodes.append([i + 1] + n)

            mesh.addElementSet(setname='cell',
                               eids=list(range(1,
                                               len(mesh.elements) + 1)))

            modelname = filename.replace('.pkl', '.feb')
            model = febio.Model(modelfile=modelname,
                                steps=[{
                                    'Displace': 'solid'
                                }])

            #lookup table for proper FEBio keyword vs GUI text
            keywords = {
                "neoHookean": "neo-Hookean",
                "Young's Modulus": "E",
                "Poisson's Ratio": "v",
                "Mooney-Rivlin": "Mooney-Rivlin",
                "C_1": "c1",
                "C_2": "c2",
                "Bulk Modulus": "k",
                "Transversely Isotropic": "orthotropic elastic",
                "Young's Modulus (radial)": "E1",
                "Young's Modulus (tangential)": ["E2", "E3"],
                "Poisson's Ratio (radial:tangential)": "v12",
                "Poisson's Ratio (tangential:radial)": ["v23", "v31"],
                "Shear Modulus (radial planes)": ["G12", "G23", "G31"],
                "Continuous Fibre Distribution":
                "ellipsoidal fiber distribution"
            }

            #Ground Substance
            gtype = keywords[self.groundSubstances[self.groundSubstance.get() -
                                                   1]]
            gattributes = {}
            for (k,
                 v) in list(self.groundParameters[self.groundSubstance.get() -
                                                  1].items()):
                # transversely isotropic case
                if isinstance(keywords[k], list):
                    for a in keywords[k]:
                        # G12 = E2 / (2 * (1 + v12))
                        if a == "G12":
                            gattributes[a] = str(
                                old_div(float(gattributes["E2"]),
                                        (2.0 *
                                         (1 + float(gattributes["v12"])))))
                        else:
                            gattributes[a] = str(v.get())
                # any other case
                else:
                    gattributes[keywords[k]] = str(v.get())
            if self.tensileNetwork.get() == 1:
                mat = febio.MatDef(matid=1,
                                   mname='cell',
                                   mtype=gtype,
                                   elsets='cell',
                                   attributes=gattributes)
                model.addMaterial(mat)
                model.addGeometry(mesh=mesh, mats=[mat])
            #With a tensile network
            else:
                self.makeVTK(filename)
                self.findLocalCsys(filename)
                ind = self.tensileNetwork.get() - 1
                ttype = keywords[self.tensileNetworks[ind]]
                ksi = [
                    self.tensileParameters[ind][k].get()
                    for k in ("ksi1", "ksi2=ksi3", "ksi2=ksi3")
                ]
                beta = [
                    self.tensileParameters[ind][k].get()
                    for k in ("beta1", "beta2=beta3", "beta2=beta3")
                ]

                mats = []
                I1n2 = np.eye(3)[0:2, :]

                distances = numpy_support.vtk_to_numpy(
                    self.vtkMeshes[filename].GetCellData().GetArray(
                        "Signed Distances"))
                maxd = np.max(np.abs(distances))
                for i, e in enumerate(self.data[filename]['elements']):
                    normal = self.vtkMeshes[filename].GetCellData().GetArray(
                        "LevelSet Normals").GetTuple3(i)
                    # cross with both e1 and e2 to ensure linearly independent
                    crossed = np.cross(normal, I1n2)
                    norms = np.linalg.norm(crossed, axis=1)
                    # get the index of the maximum norm; so never zero
                    ind2 = np.argmax(norms)
                    b = old_div(crossed[ind, :], norms[ind2])
                    normal = list(map(str, list(normal)))
                    b = list(map(str, list(b)))
                    d = self.tensileParameters[ind][
                        "Distance Cutoff [0, 1]"].get()
                    k = self.tensileParameters[ind]["Cutoff Grade (0, 1]"].get(
                    )
                    x = old_div(np.abs(distances[i]), maxd)
                    w = 0.5 * (1 - np.tanh(old_div((x - d), k)))
                    if w < 0.05:
                        w = 0.05
                    tmp_ksi = [w * v for v in ksi]
                    tattributes = {
                        "ksi": ",".join(map(str, tmp_ksi)),
                        "beta": ",".join(map(str, beta))
                    }
                    mesh.addElementSet(setname='e{:d}'.format(i + 1),
                                       eids=[i + 1])
                    mats.append(
                        febio.MatDef(
                            matid=i + 1,
                            mname='cell',
                            mtype="solid mixture",
                            elsets='e{:d}'.format(i + 1),
                            attributes={
                                'mat_axis':
                                ['vector', ','.join(normal), ','.join(b)]
                            }))

                    mats[-1].addBlock(branch=1,
                                      btype='solid',
                                      mtype=gtype,
                                      attributes=gattributes)
                    mats[-1].addBlock(branch=1,
                                      btype='solid',
                                      mtype=ttype,
                                      attributes=tattributes)
                    model.addMaterial(mats[-1])
                model.addGeometry(mesh=mesh, mats=mats)

            ctrl = febio.Control()
            ctrl.setAttributes({'title': 'cell', 'max_ups': '0'})

            model.addControl(ctrl, step=0)

            boundary = febio.Boundary(steps=1)
            for i, bc in enumerate(self.data[filename]['boundary conditions']):
                boundary.addPrescribed(
                    step=0,
                    nodeid=self.data[filename]['surfaces'][i],
                    dof='x',
                    lc='1',
                    scale=str(bc[0]))
                boundary.addPrescribed(
                    step=0,
                    nodeid=self.data[filename]['surfaces'][i],
                    dof='y',
                    lc='1',
                    scale=str(bc[1]))
                boundary.addPrescribed(
                    step=0,
                    nodeid=self.data[filename]['surfaces'][i],
                    dof='z',
                    lc='1',
                    scale=str(bc[2]))

            model.addBoundary(boundary=boundary)
            model.addLoadCurve(lc='1', lctype='linear', points=[0, 0, 1, 1])
            model.writeModel()

            subprocess.call(self._FEBIO_BIN + " -i " + modelname, shell=True)
예제 #4
0
#add element data for the shell
mesh.addElementData(elset='eplane',
                    attributes={'thickness': '0.1,0.1,0.1,0.1'})

# create a Model obect, model, that will be written to test.feb
# NOTE: all steps and modules for those steps are defined here
# default if blank is 1 step with module type "solid"
model = febio.Model(modelfile='sliding.feb', steps=[{'Displace': 'solid'}])

#make a material
mat1 = febio.MatDef(matid=1,
                    mname='Material 1',
                    mtype='neo-Hookean',
                    elsets=[
                        'exmymzm', 'exmypzm', 'exmymzp', 'exmypzp', 'expymzm',
                        'expypzm', 'expymzp', 'expypzp'
                    ],
                    attributes={
                        'density': '1.0',
                        'E': '1.0',
                        'v': '0.3'
                    })
mat2 = febio.MatDef(matid=2,
                    mname='Rigid',
                    mtype='rigid body',
                    elsets='eplane',
                    attributes={'density': '1.0'})

#add the materials to the model
model.addMaterial(mat1)
model.addMaterial(mat2)
예제 #5
0
import febio
# create a MeshDef object, mesh, reading in simpleblock.inp in abaqus format
mesh = febio.MeshDef('simpleblock.inp', 'abq')

# create a Model obect, model, that will be written to test.feb
# NOTE: all steps and modules for those steps are defined here
# default if blank is 1 step with module type "solid"
model = febio.Model(modelfile='test.feb', steps=[{'Displace': 'biphasic'}])

#initialize a list to store MatDef objects in
materials = []

#Create 3 MatDef objects with types biphasic, isotropic elastic, and rigid body and append them to mats list
materials.append(
    febio.MatDef(matid=1, mname='Biphasic', elsets='exmymzm',
                 mtype='biphasic'))
materials.append(
    febio.MatDef(mname='Elastic',
                 elsets='exmymzp',
                 mtype='neo-Hookean',
                 matid=2,
                 attributes={
                     'E': '1.0',
                     'v': '0.3'
                 }))
materials.append(
    febio.MatDef(mname='Elastic 2',
                 elsets='expymzm',
                 mtype='neo-Hookean',
                 matid=3,
                 attributes={