Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Topology optimization of bistable elastic structures — An application to logic gates

Wallin, Mathias LU ; Dalklint, Anna LU and Tortorelli, Daniel (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)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
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}},
}