Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Optimum layout for Micro-structure of Auxetic Metamaterials Utilizing Moving Morphable Components Approach

Authors
Payam Ghahremani 1
Meisam Takalloozadeh 2
1 Engineering Department - Shiraz University
2 Engineering Department, Shiraz University
10.30506/ijmep.2022.531873.1797
Abstract
The application of the negative Poisson’s ratio materials (auxetic materials) is growing rapidly. Although these types of materials were found in nature, these materials are designed and made for industrial applications. The layout of the microstructure of auxetic has a big effect on their Poisson’s ratio. The present study aims to design the microstructure of auxetic materials by utilizing shape optimization of some moving components and by finding their position to minimize Poisson’s ratio. The shape of components is defined by a few variables explicitly which is a great advantage in the manufacturing of the final design. Due to the periodic structure of auxetic materials, the design problem is defined as the compliant mechanism topology optimization of one cell. A first-order method called the method of moving asymptotes (MMA) is utilized to solve the optimization problem. The core of the first-order methods is to find the gradient of the objective function and constraints with respect to design variables. The topological derivative for the compliant mechanism is utilized for this purpose. The obtained microstructure shows the efficiency of the proposed approach. Moreover, a sample of the designed structure is made using an additive manufacturing technique.
Keywords
Topology Optimization
Moving Morphable Component
Auxetic materials
Topological derivative
Compliant mechanism

Subjects

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  • Receive Date 09 June 2021
  • Revise Date 09 November 2021
  • Accept Date 13 December 2021