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Multi-resolution methods for the topology optimization of nonlinear electro-active polymers at large strains


This work presents a numerical study on the use of multi-resolution strategies for the computationally challenging problem of optimal design of high-resolution nonlinear electro-active shell-type devices using Topology Optimization methods. This paper puts forward the following novelties. First, it presents a tailor-made in-plane multi-resolution technique where a higher level of resolution for the density field is permitted within the in-plane surface of the electro-active material. Second, a numerical study is carried out to elucidate the lower bound for the critical ratio between the density resolution level (or the number of density voxels within every element of the coarse analysis mesh) and the filtering length that can be used to avoid the presence of QR-patterns in the unexplored scenario of nonlinear electromechanics, without compromising the computational efficiency of the multi-resolution scheme. The numerical experiments illustrate the benefits of the proposed methodology to obtain high-resolution designs with a reasonable computational cost and reveal the possibility for more flexible bounds for the critical ratio as those reported in linear elasticity.

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The first author acknowledges the financial support through the contract 21132/SF/19, Fundación Séneca, Región de Murcia (Spain). Both authors acknowledge the support provided through project supported by the Autonomous Community of the Region of Murcia, Spain through the programme for the development of scientific and technical research by competitive groups (20911/PI/18), included in the Regional Program for the Promotion of Scientific and Technical Research of Fundación Séneca - Agencia de Ciencia y Tecnología de la Región de Murcia.

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Ortigosa, R., Martínez-Frutos, J. Multi-resolution methods for the topology optimization of nonlinear electro-active polymers at large strains. Comput Mech 68, 271–293 (2021).

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  • Topology optimisation
  • Nonlinear electroelasticity
  • Electro-active polymers
  • Multi-resolution