2018
DOI: 10.1016/j.mechmat.2017.10.002
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Optimal microstructures of elastoplastic cellular materials under various macroscopic strains

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Cited by 20 publications
(8 citation statements)
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“…The lack of unit cell upscaling methods, precisely homogenization method based on asymptotic expansion, when nonlinear mechanics are involved, forms a challenge for the evaluation of the effective properties, which in turn makes the topology optimization of materially nonlinear systems more difficult than in the case of linear elasticity 1,32 . A few papers in the literature have considered topology optimization frameworks for effective material properties that dictate the incorporation of material and geometric nonlinearities 1,68‐72 . For instance, the challenges with upscaling methods accompanying nonlinear properties encouraged Carstensen et al 73 to use structures with finite periodicity to calculate optimized energy absorption.…”
Section: Introductionmentioning
confidence: 99%
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“…The lack of unit cell upscaling methods, precisely homogenization method based on asymptotic expansion, when nonlinear mechanics are involved, forms a challenge for the evaluation of the effective properties, which in turn makes the topology optimization of materially nonlinear systems more difficult than in the case of linear elasticity 1,32 . A few papers in the literature have considered topology optimization frameworks for effective material properties that dictate the incorporation of material and geometric nonlinearities 1,68‐72 . For instance, the challenges with upscaling methods accompanying nonlinear properties encouraged Carstensen et al 73 to use structures with finite periodicity to calculate optimized energy absorption.…”
Section: Introductionmentioning
confidence: 99%
“…1,32 A few papers in the literature have considered topology optimization frameworks for effective material properties that dictate the incorporation of material and geometric nonlinearities. 1,[68][69][70][71][72] For instance, the challenges with upscaling methods accompanying nonlinear properties encouraged Carstensen et al 73 to use structures with finite periodicity to calculate optimized energy absorption. Although the elastoplastic topology optimization literature has a few attempts tackling the creation of architected materials with maximum energy absorption, 72 it still lacks frameworks considering other design objectives.…”
mentioning
confidence: 99%
“…Some researchers have addressed geometrical nonlinearity in topology optimization. These include Jog, 23 Buhl et al, 24 Bruns et al, 25‐28 Kwak and Cho, 29 Abdi et al, 30 Chen et al, 31 Deng, 32 Dunning, 33 Xu et al, 34 and Zhu et al 35 Other authors have investigated the topology optimization of nonlinear structures 36‐49 . Yuge and Kikuchi, 36 Maute et al, 38 Yoon and Kim, 39 Alberdi et al, 47 and Zhao et al 49 have used topology optimization to design structures undergoing plastic deformation.…”
Section: Introductionmentioning
confidence: 99%
“…These include Jog, 23 Buhl et al, 24 Bruns et al, [25][26][27][28] Kwak and Cho, 29 Abdi et al, 30 Chen et al, 31 Deng, 32 Dunning, 33 Xu et al, 34 and Zhu et al 35 Other authors have investigated the topology optimization of nonlinear structures. [36][37][38][39][40][41][42][43][44][45][46][47][48][49] Yuge and Kikuchi, 36 Maute et al, 38 Yoon and Kim, 39 Alberdi et al, 47 and Zhao et al 49 have used topology optimization to design structures undergoing plastic deformation. Several authors have also incorporated damage materials models into the topology design of continuum structures.…”
Section: Introductionmentioning
confidence: 99%
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