Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 313, Issue -, Pages 239-258Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.09.029
Keywords
Flexoelectricity; Topology optimization; Level set; Isogeometric analysis (IGA); Micto-nanostructure
Funding
- Ernst Abbe foundation within Nachwuchsforderprogramm
- Mechanical Engineering Department at Boston University
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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/fiexoelectric materials. The fourth order partial differential equations (PDEs) of fiexoelectricity, 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. (C) 2016 Elsevier B.V. All rights reserved.
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