Search Results - Geometrical methods for optimization problems in solid mechanics

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  1. 1

    Topology optimization of sandwich structures with solid-porous hybrid infill under geometric constraints by Chen, Xiaokai, Li, Chao, Bai, Yingchun

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 15.08.2021
    “… of additive manufacturing. This paper presents a topology optimization method to generate sandwich structures with solid-porous hybrid infill, in which this design feature of hybrid infill will improve the structural…”
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  2. 2

    Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models by Kang, Zhan, Luo, Yangjun

    ISSN: 0045-7825, 1879-2138
    Published: Kidlington Elsevier B.V 01.09.2009
    “…This paper describes a non-probabilistic reliability-based topology optimization method for the design of continuum structures undergoing large deformations…”
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  3. 3

    A 2D topology optimisation algorithm in NURBS framework with geometric constraints by Costa, Giulio, Montemurro, Marco, Pailhès, Jérôme

    ISSN: 1569-1713, 1573-8841
    Published: Dordrecht Springer Netherlands 01.12.2018
    “…In this paper, the solid isotropic material with penalisation (SIMP) method for topology optimisation of 2D problems is reformulated in the non-uniform rational BSpline (NURBS) framework…”
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  4. 4

    Geometric Aspects of Shape Optimization by Plotnikov, Pavel I., Sokolowski, Jan

    ISSN: 1050-6926, 1559-002X
    Published: New York Springer US 01.07.2023
    Published in The Journal of geometric analysis (01.07.2023)
    “… We consider smooth perturbations of geometrical domains in order to develop the shape calculus for the analysis of shape optimization problems…”
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  5. 5

    Stress-based topology optimization with discrete geometric components by Zhang, Shanglong, Gain, Arun L., Norato, Julián A.

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 01.10.2017
    “…In this paper, we introduce a framework for the stress-based topology optimization of structures made by the assembly of discrete geometric components, such as bars and plates, that are described…”
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  6. 6

    The hp-d-adaptive finite cell method for geometrically nonlinear problems of solid mechanics by Schillinger, D., Düster, A., Rank, E.

    ISSN: 0029-5981, 1097-0207
    Published: Chichester, UK John Wiley & Sons, Ltd 02.03.2012
    “…‐version of the finite element method and adaptive integration. For problems of linear elasticity, it offers high convergence rates and simple mesh generation, irrespective of the geometric complexity involved…”
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  7. 7

    Inverse geometric optimization for geometry of nanofluid-cooled microchannel heat sink by Wang, Xiao-Dong, An, Bin, Lin, Lin, Lee, Duu-Jong

    ISSN: 1359-4311
    Published: Kidlington Elsevier Ltd 01.06.2013
    Published in Applied thermal engineering (01.06.2013)
    “…% particle volume fraction was performed under a constant pumping power constraint. A three-dimensional fluid-solid conjugated MCHS model combining the simplified-conjugate-gradient-method was used as the optimization tool…”
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  8. 8

    Extruded-geometric-component-based 3D topology optimization by Hoang, Van-Nam, Nguyen-Xuan, H.

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 01.11.2020
    “…A three-dimensional (3D) topology optimization approach based on extruded geometric components (EGCs) is proposed…”
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  9. 9

    Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers by Feppon, F., Allaire, G., Dapogny, C., Jolivet, P.

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 01.04.2021
    “… and their deformations, an efficient optimization algorithm for constrained shape optimization problems, and a numerical…”
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  10. 10

    A nonintrusive finite-orthogonal-basis reduced-order model for accelerated computation of geometrically parameterized problems by Wang, Hongjiang, Qiao, Lijie, Dong, Han, Huang, Chaohui, Wang, Weizhe, Liu, Yingzheng

    ISSN: 0177-0667, 1435-5663
    Published: London Springer London 01.10.2025
    Published in Engineering with computers (01.10.2025)
    “… It’s challenging for most users of commercial software. Accordingly, we propose an innovative nonintrusive reduced-order methods including finite-orthogonal-basis geometrical-information reduced-order model (FBG-ROM…”
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  11. 11

    Geometrical design of thermoelectric generators based on topology optimization by Takezawa, A., Kitamura, M.

    ISSN: 0029-5981, 1097-0207
    Published: Chichester, UK John Wiley & Sons, Ltd 15.06.2012
    “…SUMMARY This paper discusses an application of the topology optimization method for the design of thermoelectric generators…”
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  12. 12

    A level set method for shape and topology optimization of large-displacement compliant mechanisms by Luo, Zhen, Tong, Liyong

    ISSN: 0029-5981, 1097-0207
    Published: Chichester, UK John Wiley & Sons, Ltd 05.11.2008
    “…A parameterization level set method is presented for structural shape and topology optimization of compliant mechanisms involving large displacements…”
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  13. 13

    A topology optimization method based on the level set method incorporating a fictitious interface energy by Yamada, Takayuki, Izui, Kazuhiro, Nishiwaki, Shinji, Takezawa, Akihiro

    ISSN: 0045-7825, 1879-2138
    Published: Kidlington Elsevier B.V 15.11.2010
    “…This paper proposes a new topology optimization method, which can adjust the geometrical complexity of optimal configurations, using the level set method and incorporating a fictitious interface…”
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  14. 14

    A Neo-Yeoh hyperelastic interpolation model for stable multi-material topology optimization under geometric nonlinearity by Song, Longlong, Wang, Fengwen, Gao, Tong, Zhang, Weihong

    ISSN: 0045-7825
    Published: Elsevier B.V 01.01.2026
    “…•The topology optimization framework based on Neo-Yeoh hyperelastic interpolation material model for multi-material problems is proposed…”
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  15. 15

    Length scale control in density-based multi-material topology optimization by Song, Longlong, Zhao, Jian, Gao, Tong, Li, Jiajia, Tang, Lei, Li, Yang, Zhang, Weihong

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 01.11.2022
    “… The three-field approach is extended to multi-material topology optimization problems. The local constraints are built by introducing porosity and material rate to achieve MaxLSC for the solid and void phases, respectively…”
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  16. 16

    A generalized Bayesian regularization network approach on characterization of geometric defects in lattice structures for topology optimization in preliminary design of 3D printing by Xie, Yuxi, Li, Shaofan, Wu, C. T., Lyu, Dandan, Wang, Chao, Zeng, Danielle

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2022
    Published in Computational mechanics (01.05.2022)
    “…) method in 2D boundary points registration problems. On the other hand, we have shown that the proposed GBRN method can find the possible geometric defects in the 3D…”
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  17. 17

    How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements by Magisano, Domenico, Leonetti, Leonardo, Garcea, Giovanni

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 01.01.2017
    “…In this paper we show how to significantly improve the robustness and the efficiency of the Newton method in geometrically non-linear structural problems discretized via displacement-based finite elements…”
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  18. 18

    Structural topology optimization for frequency response problem using model reduction schemes by Yoon, Gil Ho

    ISSN: 0045-7825, 1879-2138
    Published: Kidlington Elsevier B.V 01.05.2010
    “… (QSRV) methods, which reduce the size of the dynamic stiffness matrix of dynamic structures, to calculate dynamic responses and sensitivity values with adequate efficiency and accuracy for topology…”
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  19. 19

    ANN based optimization of nano-beam oscillations with intermolecular forces and geometric nonlinearity by Khan, Naveed Ahmad, Sulaiman, Muhammad, Lu, Benzhou

    ISSN: 0020-7683
    Published: Elsevier Ltd 01.11.2024
    “…) such as nano-beam actuators that contain cantilever and double cantilever beams. The singular nonlinear boundary value problem governing the beam-type actuators, including…”
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  20. 20

    Nonlinear buckling optimization of composite structures considering “worst” shape imperfections by Lindgaard, Esben, Lund, Erik, Rasmussen, Kim

    ISSN: 0020-7683, 1879-2146
    Published: Kidlington Elsevier Ltd 01.11.2010
    “…Nonlinear buckling optimization is introduced as a method for doing laminate optimization on generalized composite shell structures exhibiting nonlinear behaviour where the objective is to maximize the buckling load…”
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