California Institute of Technology

Fehmi Cirak

Peter Schroeder

Michael Ortiz

Thin-shell finite-element analysis based on the use of subdivision surfaces: (1) describing the geometry of a shell in its undeformed configuration, and (2) generating smooth interpolated displacement fields possessing bounded energy. No nodal rotations are used in the interpolation. The interpolation scheme induced by subdivision is nonlocal, i.e., the displacement field over one element depends on the nodal displacements of the element nodes and all nodes of immediately neighboring elements. However, the use of subdivision surfaces ensures that all local displacement fields thus constructed combine conformingly to define one single limit surface.

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Fehmi Cirak