Topology optimization of bistable elastic structures — An application to logic gates
(2021) In Computer Methods in Applied Mechanics and Engineering 383.- Abstract
In this paper, bistable gates which can be used as building blocks in logic gates are designed using topology optimization. The gate simulation is based on finite strain kinematics and hyperelastic material response. The objective of the optimization is to maximize the stiffness of a gate in the stable configurations while ensuring an adequate energy and distance separations between them and constraining the peak stress and total mass. The optimization problem is solved using nonlinear programming and the adjoint method is used to efficiently calculate the sensitivities. Conventional techniques such as SIMP interpolation, PDE filtering and Heaviside thresholding are included in the formulation. The numerical examples suggest a number of... (More)
In this paper, bistable gates which can be used as building blocks in logic gates are designed using topology optimization. The gate simulation is based on finite strain kinematics and hyperelastic material response. The objective of the optimization is to maximize the stiffness of a gate in the stable configurations while ensuring an adequate energy and distance separations between them and constraining the peak stress and total mass. The optimization problem is solved using nonlinear programming and the adjoint method is used to efficiently calculate the sensitivities. Conventional techniques such as SIMP interpolation, PDE filtering and Heaviside thresholding are included in the formulation. The numerical examples suggest a number of possible gate designs.
(Less)
- author
- Wallin, Mathias LU ; Dalklint, Anna LU and Tortorelli, Daniel
- organization
- publishing date
- 2021-09-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Bistability, Logic gate, Non-linear elasticity, Topology optimization
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 383
- article number
- 113912
- publisher
- Elsevier
- external identifiers
-
- scopus:85107283904
- ISSN
- 0045-7825
- DOI
- 10.1016/j.cma.2021.113912
- language
- English
- LU publication?
- yes
- id
- 046f81dc-da1b-492c-b2a4-b20aed118bc5
- date added to LUP
- 2021-06-22 11:22:26
- date last changed
- 2022-04-27 02:31:03
@article{046f81dc-da1b-492c-b2a4-b20aed118bc5, abstract = {{<p>In this paper, bistable gates which can be used as building blocks in logic gates are designed using topology optimization. The gate simulation is based on finite strain kinematics and hyperelastic material response. The objective of the optimization is to maximize the stiffness of a gate in the stable configurations while ensuring an adequate energy and distance separations between them and constraining the peak stress and total mass. The optimization problem is solved using nonlinear programming and the adjoint method is used to efficiently calculate the sensitivities. Conventional techniques such as SIMP interpolation, PDE filtering and Heaviside thresholding are included in the formulation. The numerical examples suggest a number of possible gate designs.</p>}}, author = {{Wallin, Mathias and Dalklint, Anna and Tortorelli, Daniel}}, issn = {{0045-7825}}, keywords = {{Bistability; Logic gate; Non-linear elasticity; Topology optimization}}, language = {{eng}}, month = {{09}}, publisher = {{Elsevier}}, series = {{Computer Methods in Applied Mechanics and Engineering}}, title = {{Topology optimization of bistable elastic structures — An application to logic gates}}, url = {{http://dx.doi.org/10.1016/j.cma.2021.113912}}, doi = {{10.1016/j.cma.2021.113912}}, volume = {{383}}, year = {{2021}}, }