Gangwar, Tarun ; Schillinger, Dominik (2025)
Thermodynamically consistent concurrent material and structure optimization of elastoplastic multiphase hierarchical systems.
In: Structural and Multidisciplinary Optimization, 2023, 66 (9)
doi: 10.26083/tuprints-00028349
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their microstructure composition that can evolve over multiple length scales from a few micrometers to centimeters. It is based on the split of the multiscale optimization problem into two nested sub-problems, one at the macroscale (structure) and the other at the microscales (material). In this paper, we establish a novel formulation of concurrent material and structure optimization for multiphase hierarchical systems with elastoplastic constituents at the material scales. Exploiting the thermomechanical foundations of elastoplasticity, we reformulate the material optimization problem based on the maximum plastic dissipation principle such that it assumes the format of an elastoplastic constitutive law and can be efficiently solved via modified return mapping algorithms. We integrate continuum micromechanics based estimates of the stiffness and the yield criterion into the formulation, which opens the door to a computationally feasible treatment of the material optimization problem. To demonstrate the accuracy and robustness of our framework, we define new benchmark tests with several material scales that, for the first time, become computationally feasible. We argue that our formulation naturally extends to multiscale optimization under further path-dependent effects such as viscoplasticity or multiscale fracture and damage.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2025 |
| Autor(en): | Gangwar, Tarun ; Schillinger, Dominik |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Thermodynamically consistent concurrent material and structure optimization of elastoplastic multiphase hierarchical systems |
| Sprache: | Englisch |
| Publikationsjahr: | 16 Januar 2025 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | September 2023 |
| Ort der Erstveröffentlichung: | Berlin ; Heidelberg ; New York |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Structural and Multidisciplinary Optimization |
| Jahrgang/Volume einer Zeitschrift: | 66 |
| (Heft-)Nummer: | 9 |
| Kollation: | 31 Seiten |
| DOI: | 10.26083/tuprints-00028349 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/28349 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their microstructure composition that can evolve over multiple length scales from a few micrometers to centimeters. It is based on the split of the multiscale optimization problem into two nested sub-problems, one at the macroscale (structure) and the other at the microscales (material). In this paper, we establish a novel formulation of concurrent material and structure optimization for multiphase hierarchical systems with elastoplastic constituents at the material scales. Exploiting the thermomechanical foundations of elastoplasticity, we reformulate the material optimization problem based on the maximum plastic dissipation principle such that it assumes the format of an elastoplastic constitutive law and can be efficiently solved via modified return mapping algorithms. We integrate continuum micromechanics based estimates of the stiffness and the yield criterion into the formulation, which opens the door to a computationally feasible treatment of the material optimization problem. To demonstrate the accuracy and robustness of our framework, we define new benchmark tests with several material scales that, for the first time, become computationally feasible. We argue that our formulation naturally extends to multiscale optimization under further path-dependent effects such as viscoplasticity or multiscale fracture and damage. |
| Freie Schlagworte: | Multiphase topology optimization, Concurrent design, Continuum micromechanics, Homogenization, Elastoplasticity, Path-dependent optimization |
| ID-Nummer: | Artikel-ID: 195 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-283498 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 000 Allgemeines, Informatik, Informationswissenschaft > 004 Informatik 500 Naturwissenschaften und Mathematik > 510 Mathematik 600 Technik, Medizin, angewandte Wissenschaften > 624 Ingenieurbau und Umwelttechnik |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Numerische Mechanik |
| Hinterlegungsdatum: | 16 Jan 2025 13:42 |
| Letzte Änderung: | 20 Jan 2025 09:20 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Thermodynamically consistent concurrent material and structure optimization of elastoplastic multiphase hierarchical systems. (deposited 16 Jan 2025 13:42) [Gegenwärtig angezeigt]
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