This extension calculates the volume, change in volume, thickness, and change in thickness between all AOIs of two systems. The AOI sequence should be the same between the two systems/projects.
For each AOI, the extension identifies all valid nodes and attempts to construct a rectangle using the neighbors of each root node. If the neighboring nodes are also valid, the rectangle is projected along the Z-axis onto the opposing surface, forming a hexahedron. The volume of this hexahedron is reported as the volume for the root node. V₀ represents the volume in the reference state, V₁ is the volume in the deformed state, and ΔV/V₀ is the relative change in volume.
Thickness is computed as the distance between the root node and its projection onto the opposing surface. The thickness in the reference and deformed states are denoted as t₀ and t₁, respectively, with Δt representing the change in thickness.
Hexahedron volume formula
The volume of a hexahedron is calculated as:
where ,
, and
are the position vectors forming the i-th triangular face.
Ian Adkins
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