less core module
This commit is contained in:
Martin Diehl
parent
60a3ac5b04
commit
8b89063113
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@ -10,7 +10,7 @@ scriptName = os.path.splitext(os.path.basename(__file__))[0]
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scriptID = ' '.join([scriptName,damask.version])
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def volTetrahedron(vertices=None, sides=None):
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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. If
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vertices are given they must be in a NumPy array with shape (4,3): the
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@ -38,6 +38,7 @@ def volTetrahedron(vertices=None, sides=None):
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# Get all the squares of all side lengths from the differences between
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# the 6 different pairs of vertex positions
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vertices = np.concatenate((coords[0],coords[1],coords[2],coords[3])).reshape([4,3])
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vertex1, vertex2 = vertex_pair_indexes[:,0], vertex_pair_indexes[:,1]
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sides_squared = np.sum((vertices[vertex1] - vertices[vertex2])**2,axis=-1)
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@ -53,105 +54,83 @@ def volTetrahedron(vertices=None, sides=None):
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# The matrix is symmetric, so we can fill in the lower triangle by
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# adding the transpose
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M = M + M.T
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return np.sqrt(det / 288)
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return np.sqrt(np.linalg.det(M) / 288)
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def mesh_volumeMismatch(size,F,nodes):
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def volumeMismatch(size,F,nodes):
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"""
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calculates the mismatch between volume of reconstructed (compatible) cube and
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determinant of defgrad at the FP
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"""
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real(pReal), intent(in), dimension(:,:,:,:,:) :: &
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F
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real(pReal), dimension(size(F,3),size(F,4),size(F,5)) :: &
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vMismatch
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real(pReal), intent(in), dimension(:,:,:,:) :: &
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nodes
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real(pReal), dimension(3,8) :: coords
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volInitial = size.prod()/grid.prod()
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coords = np.empty([8,3])
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vMismatch = np.empty(grid)
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volInitial = size.prod()/grid.prod()
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#--------------------------------------------------------------------------------------------------
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# calculate actual volume and volume resulting from deformation gradient
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for k in xrange(grid[2]):
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for j in xrange(grid[1]):
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for i in xrange(grid[0]):
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coords(0:3,0) = nodes[0:3,i, j, k ]
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coords(0:3,1) = nodes[0:3,i+1,j, k ]
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coords(0:3,2) = nodes[0:3,i+1,j+1,k ]
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coords(0:3,3) = nodes[0:3,i, j+1,k ]
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coords(0:3,4) = nodes[0:3,i, j, k+1]
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coords(0:3,5) = nodes[0:3,i+1,j, k+1]
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coords(0:3,6) = nodes[0:3,i+1,j+1,k+1]
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coords(0:3,7) = nodes[0:3,i, j+1,k+1]
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vMismatch[i,j,k] = &
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abs(volTetrahedron(coords[0:3,6],coords[0:3,0],coords[0:3,7],coords[0:3,3])) &
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+ abs(volTetrahedron(coords[0:3,6],coords[0:3,0],coords[0:3,7],coords[0:3,4])) &
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+ abs(volTetrahedron(coords[0:3,6],coords[0:3,0],coords[0:3,2],coords[0:3,3])) &
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+ abs(volTetrahedron(coords[0:3,6],coords[0:3,0],coords[0:3,2],coords[0:3,1])) &
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+ abs(volTetrahedron(coords[0:3,6],coords[0:3,4],coords[0:3,1],coords[0:3,5])) &
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+ abs(volTetrahedron(coords[0:3,6],coords[0:3,4],coords[0:3,1],coords[0:3,0]))
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vMismatch[i,j,k] = vMismatch[i,j,k]/math_det33(F(1:3,1:3,i,j,k))
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enddo; enddo; enddo
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for k in xrange(grid[2]):
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for j in xrange(grid[1]):
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for i in xrange(grid[0]):
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coords[0,0:3] = nodes[0:3,i, j, k ]
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coords[1,0:3] = nodes[0:3,i+1,j, k ]
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coords[2,0:3] = nodes[0:3,i+1,j+1,k ]
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coords[3,0:3] = nodes[0:3,i, j+1,k ]
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coords[4,0:3] = nodes[0:3,i, j, k+1]
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coords[5,0:3] = nodes[0:3,i+1,j, k+1]
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coords[6,0:3] = nodes[0:3,i+1,j+1,k+1]
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coords[7,0:3] = nodes[0:3,i, j+1,k+1]
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vMismatch[i,j,k] = \
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abs(volTetrahedron([coords[6,0:3],coords[0,0:3],coords[7,0:3],coords[3,0:3]])) \
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+ abs(volTetrahedron([coords[6,0:3],coords[0,0:3],coords[7,0:3],coords[4,0:3]])) \
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+ abs(volTetrahedron([coords[6,0:3],coords[0,0:3],coords[2,0:3],coords[3,0:3]])) \
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+ abs(volTetrahedron([coords[6,0:3],coords[0,0:3],coords[2,0:3],coords[1,0:3]])) \
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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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vMismatch[i,j,k] = vMismatch[i,j,k]/np.linalg.det(F[0:3,0:3,i,j,k])
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return vMismatch/volInitial
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return vMismatch/volInitial
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def mesh_shapeMismatch(gDim,F,nodes,centres):
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def shapeMismatch(size,F,nodes,centres):
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"""
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Routine to calculate the mismatch 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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implicit none
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real(pReal), intent(in), dimension(:,:,:,:,:) :: &
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F
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real(pReal), dimension(size(F,3),size(F,4),size(F,5)) :: &
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sMismatch
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real(pReal), intent(in), dimension(:,:,:,:) :: &
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nodes, &
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centres
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real(pReal), dimension(3,8) :: coordsInitial
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integer(pInt) i,j,k
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coordsInitial = np.empty([8,3])
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sMismatch = np.empty(grid)
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!--------------------------------------------------------------------------------------------------
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! initial positions
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coordsInitial(1:3,1) = [-gDim(1)/fRes(1),-gDim(2)/fRes(2),-gDim(3)/fRes(3)]
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coordsInitial(1:3,2) = [+gDim(1)/fRes(1),-gDim(2)/fRes(2),-gDim(3)/fRes(3)]
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coordsInitial(1:3,3) = [+gDim(1)/fRes(1),+gDim(2)/fRes(2),-gDim(3)/fRes(3)]
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coordsInitial(1:3,4) = [-gDim(1)/fRes(1),+gDim(2)/fRes(2),-gDim(3)/fRes(3)]
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coordsInitial(1:3,5) = [-gDim(1)/fRes(1),-gDim(2)/fRes(2),+gDim(3)/fRes(3)]
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coordsInitial(1:3,6) = [+gDim(1)/fRes(1),-gDim(2)/fRes(2),+gDim(3)/fRes(3)]
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coordsInitial(1:3,7) = [+gDim(1)/fRes(1),+gDim(2)/fRes(2),+gDim(3)/fRes(3)]
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coordsInitial(1:3,8) = [-gDim(1)/fRes(1),+gDim(2)/fRes(2),+gDim(3)/fRes(3)]
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coordsInitial = coordsInitial/2.0_pReal
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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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coordsInitial[1,0:3] = [+size[0]/grid[0],-size[1]/grid[1],-size[2]/grid[2]]
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coordsInitial[2,0:3] = [+size[0]/grid[0],+size[1]/grid[1],-size[2]/grid[2]]
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coordsInitial[3,0:3] = [-size[0]/grid[0],+size[1]/grid[1],-size[2]/grid[2]]
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coordsInitial[4,0:3] = [-size[0]/grid[0],-size[1]/grid[1],+size[2]/grid[2]]
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coordsInitial[5,0:3] = [+size[0]/grid[0],-size[1]/grid[1],+size[2]/grid[2]]
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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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do k = 1_pInt,iRes(3)
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do j = 1_pInt,iRes(2)
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do i = 1_pInt,iRes(1)
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sMismatch(i,j,k) = &
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sqrt(sum((nodes(1:3,i, j, k ) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,1)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i+1_pInt,j, k ) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,2)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i+1_pInt,j+1_pInt,k ) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,3)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i, j+1_pInt,k ) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,4)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i, j, k+1_pInt) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,5)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i+1_pInt,j, k+1_pInt) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,6)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i+1_pInt,j+1_pInt,k+1_pInt) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,7)))**2.0_pReal))&
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+ sqrt(sum((nodes(1:3,i, j+1_pInt,k+1_pInt) - centres(1:3,i,j,k)&
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- math_mul33x3(F(1:3,1:3,i,j,k), coordsInitial(1:3,8)))**2.0_pReal))
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enddo; enddo; enddo
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return sMismatch
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#--------------------------------------------------------------------------------------------------
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# compare deformed original and deformed positions to actual positions
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for k in xrange(grid[2]):
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for j in xrange(grid[1]):
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for i in xrange(grid[0]):
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sMismatch[i,j,k] = \
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np.linalg.norm(nodes[0:3,i, j, k] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[0,0:3]))\
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+ np.linalg.norm(nodes[0:3,i+1,j, k] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[1,0:3]))\
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+ np.linalg.norm(nodes[0:3,i+1,j+1,k ] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[2,0:3]))\
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+ np.linalg.norm(nodes[0:3,i, j+1,k ] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[3,0:3]))\
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+ np.linalg.norm(nodes[0:3,i, j, k+1] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[4,0:3]))\
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+ np.linalg.norm(nodes[0:3,i+1,j, k+1] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[5,0:3]))\
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+ np.linalg.norm(nodes[0:3,i+1,j+1,k+1] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[6,0:3]))\
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+ np.linalg.norm(nodes[0:3,i, j+1,k+1] - centres[0:3,i,j,k] - np.dot(F[:,:,i,j,k], coordsInitial[7,0:3]))
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return sMismatch
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# --------------------------------------------------------------------
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# MAIN
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@ -260,12 +239,12 @@ for name in filenames:
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(x,y,z) = damask.util.gridLocation(idx,grid) # figure out (x,y,z) position from line count
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idx += 1
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F[0:3,0:3,x,y,z] = np.array(map(float,table.data[column:column+9]),'d').reshape(3,3)
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Favg = damask.core.math.tensorAvg(F)
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centres = damask.core.mesh.deformedCoordsFFT(size,F,Favg,[1.0,1.0,1.0])
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nodes = damask.core.mesh.nodesAroundCentres(size,Favg,centres)
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if options.shape: shapeMismatch = damask.core.mesh.shapeMismatch( size,F,nodes,centres)
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if options.volume: volumeMismatch = damask.core.mesh.volumeMismatch(size,F,nodes)
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if options.shape: shapeMismatch = shapeMismatch( size,F,nodes,centres)
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if options.volume: volumeMismatch = volumeMismatch(size,F,nodes)
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# ------------------------------------------ process data ------------------------------------------
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table.data_rewind()
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