Computational Technology Resources - CCC

L. Irastorza-Valera^1,2, L. Saucedo-Mora^3,4,2, F. Chinesta^1,5,6 and F.J. Montans Leal^7,2

¹Laboratoire PIMM - Procédés et Ingénierie en Mécanique et Matériaux, École Nationale Supérieure d'Arts et Métiers (ENSAM) - Arts et Métiers ParisTech, Paris, France
²Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain
³Department of Materials, University of Oxford, United Kingdom
⁴Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, United States of America
⁵CNRS@CREATE LTD., CNRS Singapore, Singapore
⁶ESI, ESI Group, Rungis, France
⁷Department of Mechanical and Aerospace Engineering, University of Florida, Florida, USA

doi:10.4203/ccc.9.2.2

L. Irastorza-Valera, L. Saucedo-Mora, F. Chinesta, F.J. Montans Leal, "Damage-Based Criteria for the Combination of Offset Probabilistic Temporal Loads in Topological Optimization Designs", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 2.2, 2024, doi:10.4203/ccc.9.2.2

Keywords: topology optimization, fatigue damage, finite element method, multi-objective optimization, continuous media, probabilistic mechanics, metamaterials.

Abstract

Topology optimization is a widespread and robust process to generate structures supporting a given loading state while subject to minimum volume and maximum stiffness specifications. This traditional framework, embodied by techniques such as SIMP or ESO, is lacking in some aspects. Firstly, loading conditions are assumed static, meaning the structure will only be optimized for that very specific layout, unable to adapt to any eventualities, e.g. vibrations, unexpected (impacts) or alternating loads. Secondly, loads are considered fixed in position, direction and modulus, which is often not the case in industrial applications. Loads can be misplaced, move and vary their direction and modulus under certain conditions, including those linked to nonlinear effects (buckling, creep, fatigue). Lastly, as a direct consequence of the previous point, damage considerations are not usually taken into account. This absence misrepresents results as they do not reflect wear and tear over time (4D optimization). In this article, a novel attempt at solving these issues is presented. Uncertain and pseudo-dynamic loading is introduced and its long-term effects captured by a damage parameter based on the elastic energy at each step following a reinforced SIMP scheme. Future ramifications of this work are pondered, especially regarding metamaterial inverse design.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 9 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 2.2 Damage-Based Criteria for the Combination of Offset Probabilistic Temporal Loads in Topological Optimization Designs L. Irastorza-Valera^1,2, L. Saucedo-Mora^3,4,2, F. Chinesta^1,5,6 and F.J. Montans Leal^7,2 ¹Laboratoire PIMM - Procédés et Ingénierie en Mécanique et Matériaux, École Nationale Supérieure d'Arts et Métiers (ENSAM) - Arts et Métiers ParisTech, Paris, France ²Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain ³Department of Materials, University of Oxford, United Kingdom ⁴Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, United States of America ⁵CNRS@CREATE LTD., CNRS Singapore, Singapore ⁶ESI, ESI Group, Rungis, France ⁷Department of Mechanical and Aerospace Engineering, University of Florida, Florida, USA doi:10.4203/ccc.9.2.2 Full Bibliographic Reference for this paper L. Irastorza-Valera, L. Saucedo-Mora, F. Chinesta, F.J. Montans Leal, "Damage-Based Criteria for the Combination of Offset Probabilistic Temporal Loads in Topological Optimization Designs", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 9, Paper 2.2, 2024, doi:10.4203/ccc.9.2.2 Keywords: topology optimization, fatigue damage, finite element method, multi-objective optimization, continuous media, probabilistic mechanics, metamaterials. Abstract Topology optimization is a widespread and robust process to generate structures supporting a given loading state while subject to minimum volume and maximum stiffness specifications. This traditional framework, embodied by techniques such as SIMP or ESO, is lacking in some aspects. Firstly, loading conditions are assumed static, meaning the structure will only be optimized for that very specific layout, unable to adapt to any eventualities, e.g. vibrations, unexpected (impacts) or alternating loads. Secondly, loads are considered fixed in position, direction and modulus, which is often not the case in industrial applications. Loads can be misplaced, move and vary their direction and modulus under certain conditions, including those linked to nonlinear effects (buckling, creep, fatigue). Lastly, as a direct consequence of the previous point, damage considerations are not usually taken into account. This absence misrepresents results as they do not reflect wear and tear over time (4D optimization). In this article, a novel attempt at solving these issues is presented. Uncertain and pseudo-dynamic loading is introduced and its long-term effects captured by a damage parameter based on the elastic energy at each step following a reinforced SIMP scheme. Future ramifications of this work are pondered, especially regarding metamaterial inverse design. download the full-text of this paper (PDF, 14 pages, 882 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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