Downloads :
dispersity.m
display_number_neighbors.m
neighbors.m
stress_tensor.m
stress_tensor_local.m
bond_order_parameter.m
Size distributions, number of neighbors
The size distribution(dispersity.m:download) computes the area of individual cells ('A')
as well as the number of sides to a cell(n). The number of sides to a cell is also an equivalant measure(except at the boundaries) of the number of
nearest neighbors.
> [A,n]=dispersity(V,C);
> display_number_neighbors(V,E,C,bdry_cells);
The last function (display_number_neighbors.m:download) color codes
the various cells based on the number of sides of the individual cells.
Nearest Neighbors, Next-Nearest Neighbors, Shared Vertices
> [N,NN,NC]=neighbors(C, center_positions, neighbor_region)
The number of nearest-neighbors(N) and next-nearest neighbors(NN) are computed by neighbors.m:download. NC
is a matrix that maps the number of common vertices between cells constituting the structure.
Stress Tensor
The stress in the network may also be computed from purely geometrical considerations of the network. This is akin to the
deviatoric stress(stress_tensor.m:download) used in describing cellular
structures, and may be computed from knowledge of the edges comprising the cell structures.
> S=stress_tensor(V,E);
Further, a local measurement is possible by looking at small neighborhoods of the network. The variable 'box_size' is a number that specifies
half the length of the box over which the averaging occurs to compute a local stress.
> box_size=20;
> S_local=stress_tensor_local(V,E,box_size);
Below is the off-diagonal component of the stress distribution.
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