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Plate with a Circular Hole — 8-Node Plane Stress

CE/ME 532 · Q8 Serendipity Elements · Bottom edge fully fixed, non-uniform vertical traction on top edge.

W H
R
E ν
t
nr nc
Four petal blocks wrap the hole. Total Q8 elements = 4 · nr · nc.
q₀ negative = pushing down, positive = pulling up
Solving… (larger meshes take a few seconds)
Element stiffness uses 3×3 Gauss (full integration). Edge tractions on the top boundary are converted to consistent nodal forces via 3-point Gauss on each element edge.
👉 Tip: click any element in the canvas to inspect its nodes, Jacobian, B matrix, and element stiffness k(e).