IGA PEH

Isogeometric Analysis (IGA) is a modification of the Finite Element Method (FEM), which uses Non-Uniform Rational B-Splines (NURBS) as shape functions. With NURBS in the Kirchhoff-Love plate theory framework, the geometry is precisely represented, and the second-order derivatives appearing in its weak form can be efficiently approximated.

In this work, we analyze piezoelectric energy harvesters (PEH) with the IGA, considering the Kirchhoff-Love plate theory. The work includes cantilever bimorph configurations of PEH with constant and quadratic varying thickness of the substructure. The non-constant substructure thickness is defined from three control points and a B-Spline of degree 2.

References:

VP Nguyen, C Anitescu, S Bordas, T Rabczuk. "Isogeometric analysis: an overview and computer implementation aspects". Mathematics and Computers in Simulation, (2015), pp. 89-116, Vol 117.

IGAFEM from https://sourceforge.net/projects/cmcodes/