I have a deformed 2D region of triangular Elements
specified by their Nodes
in $x$ and $y$ coordinate system. In addition, I have a list of Displacements
in $y$ direction for each node. I want to ContourPlot the displacements over my deformed region of elements. So far my reasoning was to make a list Nodes2
where each sublist has in the first two places the node position and the third is displacement. Then I use ListContourPlot
.
Nodes = {{0., 0.}, {10., 0.}, {20., 0.}, {30., 0.}, {-0.101573, 9.81671}, {9.92361, 10.0459}, {19.8914, 10.2668}, {29.7869, 10.5013}, {-0.453558, 19.6276}, {9.57795, 20.086}, {19.5471, 20.5443}, {29.4276, 21.0344}, {-1.06222, 29.4477}, {8.97881, 30.1177}, {18.9679, 30.8116}, {28.8439, 31.5901}, {-1.90436, 39.3141}, {8.12513, 40.1282}, {18.1438, 41.0447}, {28.0142, 42.1991}, {-2.88222, 49.2855}, {7.0891, 50.1568}, {16.9537, 51.1588}, {26.904, 52.9408}};
Elements = {{1, 2, 6}, {6, 5, 1}, {2, 3, 7}, {7, 6, 2}, {3, 4, 8}, {8, 7, 3}, {5, 6, 10}, {10, 9, 5}, {6, 7, 11}, {11, 10, 6}, {7, 8, 12}, {12, 11, 7}, {9, 10, 14}, {14, 13, 9}, {10, 11, 15}, {15, 14, 10}, {11, 12, 16}, {16, 15, 11}, {13, 14, 18}, {18, 17, 13}, {14, 15, 19}, {19, 18, 14}, {15, 16, 20}, {20, 19, 15}, {17, 18, 22}, {22, 21, 17}, {18, 19, 23}, {23, 22, 18}, {19, 20, 24}, {24, 23, 19}};
displacements = {0, 0, 0, 0, -0.0091645, 0.00229398, 0.013342, 0.0250656, -0.0186183, 0.0043011, 0.0272138, 0.0517176, -0.0276138, 0.00588411, 0.0405803, 0.0795059, -0.0342935, 0.00641231, 0.0522328, 0.109954, -0.0357271, 0.00784115, 0.0579424, 0.14704};
stn = Nodes//Length;
Nodes2 = Nodes;
For[i = 1, i <= stn, i++,
AppendTo[Nodes2[[i]], displacements[[i]]]
]
ListContourPlot[Nodes2, Contours -> 20, ColorFunction -> "Rainbow",
AspectRatio -> 5/3, PlotRange -> All, PlotRange -> Full]
The result is as shown in the picture. The left one represents the deformed shape made of triangles and the right one my ListContourPlot
with highlighted spots where there shouldn't be any color as the region does not exist (refer to the left picture). I have found a similar problem here, but I don't see how it can be generalized for non DelaunayMesh
problems (at least with my knowledge). My question is: How to plot DISCRETE values (in this case displacements) over ONLY a SPECIFIED DISCRETE region?
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