You are here
A level-set based IGA formulation for topology optimization of flexoelectric materials
Abstract
This paper presents a design methodology based on a combination of isogeometric analysis (IGA),
level set and point wise density mapping techniques for topology optimization of piezoelectric /
flexoelectric materials. The fourth order partial differential equations (PDEs) of flexoelectricity,
which require at least C 1 continuous approximations, are discretized using Non-Uniform Rational
B-spline (NURBS). The point wise density mapping technique with consistent derivatives is
directly used in the weak form of the governing equations. The boundary of the design domain is
implicitly represented by a level set function. The accuracy of the IGA model is confirmed through
numerical examples including a cantilever beam under a point load and a truncated pyramid under
compression with different electrical boundary conditions. Finally, we provide numerical
examples demonstrating the significant enhancement in electromechanical coupling coefficient
that can be obtained using topology optimization.
Attachment | Size |
---|---|
pre-print-IGA-LS-FLEXO.pdf | 996.09 KB |
- hd_ghasemi@yahoo.com's blog
- Log in or register to post comments
- 1935 reads
Recent comments