A multi-material level set-based topology optimization of flexoelectric composites
arXiv:1901.10752 · doi:10.1016/j.cma.2017.12.005
Abstract
We present a computational design methodology for topology optimization of multi-material-based flexoelectric composites. The methodology extends our recently proposed design methodology for a single flexoelectric material. We adopt the multi-phase vector level set (LS) model which easily copes with various numbers of phases, efficiently satisfies multiple constraints and intrinsically avoids overlap or vacuum among different phases. We extend the point wise density mapping technique for multi-material design and use the B-spline elements to discretize the partial differential equations (PDEs) of flexoelectricity. The dependence of the objective function on the design variables is incorporated using the adjoint technique.The obtained design sensitivities are used in the Hamilton Jacobi equation to update the LS function. We provide numerical examples for two, three and four phase flexoelectric composites to demonstrate the flexibility of the model as well as the significant enhancement in electromechanical coupling coefficient that can be obtained using multi-material topology optimization for flexoelectric composites.
References in corpus (1)
Cited by in corpus (8)
- IH-GAN: A Conditional Generative Model for Implicit Surface-Based Inverse Design of Cellular Structures
- An Immersed Boundary Hierarchical B-spline method for flexoelectricity
- Modeling flexoelectricity in soft dielectrics at finite deformation
- Piezoelectric modulus prediction using machine learning and graph neural networks
- Topology optimization of flexoelectric metamaterials with apparent piezoelectricity
- A Staggered Explicit-Implicit Finite Element Formulation for Electroactive Polymers
- Efficient Design of Helical Higher-Order Topological Insulators in 3D Elastic Medium
- A 55-line code for large-scale parallel topology optimization in 2D and 3D