adopting to standard data layout
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@ -16,8 +16,8 @@ scriptID = ' '.join([scriptName,damask.version])
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def volTetrahedron(coords):
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"""
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Return the volume of the tetrahedron with given vertices or sides.
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Ifvertices are given they must be in a NumPy array with shape (4,3): the
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If vertices are given they must be in a NumPy array with shape (4,3): the
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position vectors of the 4 vertices in 3 dimensions; if the six sides are
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given, they must be an array of length 6. If both are given, the sides
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will be used in the calculation.
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@ -62,19 +62,18 @@ def volTetrahedron(coords):
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def volumeMismatch(size,F,nodes):
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"""
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Calculates the volume mismatch.
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volume mismatch is defined as the difference between volume of reconstructed
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volume mismatch is defined as the difference between volume of reconstructed
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(compatible) cube and determinant of deformation gradient at Fourier point.
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"""
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coords = np.empty([8,3])
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vMismatch = np.empty(grid[::-1])
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volInitial = size.prod()/grid.prod()
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vMismatch = np.empty(F.shape[:3])
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#--------------------------------------------------------------------------------------------------
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# calculate actual volume and volume resulting from deformation gradient
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for k in range(grid[2]):
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for k in range(grid[0]):
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for j in range(grid[1]):
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for i in range(grid[0]):
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for i in range(grid[2]):
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coords[0,0:3] = nodes[k, j, i ,0:3]
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coords[1,0:3] = nodes[k ,j, i+1,0:3]
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coords[2,0:3] = nodes[k ,j+1,i+1,0:3]
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@ -91,21 +90,21 @@ def volumeMismatch(size,F,nodes):
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+ abs(volTetrahedron([coords[6,0:3],coords[4,0:3],coords[1,0:3],coords[5,0:3]])) \
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+ abs(volTetrahedron([coords[6,0:3],coords[4,0:3],coords[1,0:3],coords[0,0:3]]))) \
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/np.linalg.det(F[k,j,i,0:3,0:3])
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return vMismatch/volInitial
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return vMismatch/(size.prod()/grid.prod())
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def shapeMismatch(size,F,nodes,centres):
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"""
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Routine to calculate the shape mismatch.
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shape mismatch is defined as difference between the vectors from the central point to
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the corners of reconstructed (combatible) volume element and the vectors calculated by deforming
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the initial volume element with the current deformation gradient.
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"""
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coordsInitial = np.empty([8,3])
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sMismatch = np.empty(grid[::-1])
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sMismatch = np.empty(F.shape[:3])
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#--------------------------------------------------------------------------------------------------
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# initial positions
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coordsInitial[0,0:3] = [-size[0]/grid[0],-size[1]/grid[1],-size[2]/grid[2]]
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@ -117,21 +116,21 @@ def shapeMismatch(size,F,nodes,centres):
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coordsInitial[6,0:3] = [+size[0]/grid[0],+size[1]/grid[1],+size[2]/grid[2]]
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coordsInitial[7,0:3] = [-size[0]/grid[0],+size[1]/grid[1],+size[2]/grid[2]]
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coordsInitial = coordsInitial/2.0
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#--------------------------------------------------------------------------------------------------
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# compare deformed original and deformed positions to actual positions
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for k in range(grid[2]):
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for k in range(grid[0]):
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for j in range(grid[1]):
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for i in range(grid[0]):
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for i in range(grid[2]):
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sMismatch[k,j,i] = \
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+ np.linalg.norm(nodes[k, j, i ,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[0,0:3]))\
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+ np.linalg.norm(nodes[k, j, i+1,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[1,0:3]))\
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+ np.linalg.norm(nodes[k, j+1,i+1,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[2,0:3]))\
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+ np.linalg.norm(nodes[k+1,j, i ,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[1,0:3]))\
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+ np.linalg.norm(nodes[k+1,j+1,i ,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[2,0:3]))\
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+ np.linalg.norm(nodes[k, j+1,i ,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[3,0:3]))\
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+ np.linalg.norm(nodes[k+1,j, i ,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[4,0:3]))\
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+ np.linalg.norm(nodes[k, j, i+1,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[4,0:3]))\
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+ np.linalg.norm(nodes[k+1,j, i+1,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[5,0:3]))\
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+ np.linalg.norm(nodes[k+1,j+1,i+1,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[6,0:3]))\
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+ np.linalg.norm(nodes[k+1,j+1,i ,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[7,0:3]))
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+ np.linalg.norm(nodes[k ,j+1,i+1,0:3] - centres[k,j,i,0:3] - np.dot(F[k,j,i,:,:], coordsInitial[7,0:3]))
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return sMismatch
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@ -174,24 +173,24 @@ if filenames == []: filenames = [None]
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for name in filenames:
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damask.util.report(scriptName,name)
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table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name)
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grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos))
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F = table.get(options.defgrad).reshape(grid[2],grid[1],grid[0],3,3)
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F = table.get(options.defgrad).reshape(tuple(grid)+(-1,),order='F').reshape(tuple(grid)+(3,3))
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nodes = damask.grid_filters.node_coord(size,F)
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if options.shape:
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centers = damask.grid_filters.cell_coord(size,F)
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shapeMismatch = shapeMismatch( size,table.get(options.defgrad).reshape(grid[2],grid[1],grid[0],3,3),nodes,centers)
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shapeMismatch = shapeMismatch(size,F,nodes,centers)
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table.add('shapeMismatch(({}))'.format(options.defgrad),
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shapeMismatch.reshape(-1,1),
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shapeMismatch.reshape(-1,1,order='F'),
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scriptID+' '+' '.join(sys.argv[1:]))
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if options.volume:
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volumeMismatch = volumeMismatch(size,table.get(options.defgrad).reshape(grid[2],grid[1],grid[0],3,3),nodes)
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volumeMismatch = volumeMismatch(size,F,nodes)
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table.add('volMismatch(({}))'.format(options.defgrad),
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volumeMismatch.reshape(-1,1),
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volumeMismatch.reshape(-1,1,order='F'),
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scriptID+' '+' '.join(sys.argv[1:]))
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table.to_ASCII(sys.stdout if name is None else name)
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