Implicit–explicit integration of gradient-enhanced damage models
| Autor: | Javier Oliver, Jörg F. Unger, Thomas Titscher |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Engineering
Civil Continuum damage Implicit explicit Computer science 0211 other engineering and technologies Gradient-enhanced damage model Engineering Multidisciplinary Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] 02 engineering and technology Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] Enginyeria dels materials [Àrees temàtiques de la UPC] Condensed Matter::Materials Science 0203 mechanical engineering Robustness (computer science) COMPDESMAT Project Applied mathematics Engineering Ocean Robustness Engineering Aerospace Engineering Biomedical 021101 geological & geomatics engineering Fracture mechanics--Mathematical models Mechanical Engineering Computer Science Software Engineering Mecànica de fractura -- Models matemàtics Engineering Marine Strain softening Engineering Manufacturing Engineering Mechanical 020303 mechanical engineering & transports Mechanics of Materials COMP-DES-MAT Project Engineering Industrial Adaptive time stepping Implicit explicit schemes |
| Zdroj: | Scipedia Open Access Scipedia SL UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 1943-7889 |
| Popis: | This material may be downloaded for personal use only. Any other use requires prior permission of the American Society of Civil Engineers. This material may be found at https://ascelibrary.org/doi/10.1061/%28ASCE%29EM.1943-7889.0001608. Quasi-brittle materials exhibit strain softening. Their modeling requires regularized constitutive formulations to avoid instabilities on the material level. A commonly used model is the implicit gradient-enhanced damage model. For complex geometries, it still shows structural instabilities when integrated with classical backward Euler schemes. An alternative is the implicit–explicit (IMPL-EX) integration scheme. It consists of the extrapolation of internal variables followed by an implicit calculation of the solution fields. The solution procedure for the nonlinear gradient-enhanced damage model is thus transformed into a sequence of problems that are algorithmically linear in every time step. Therefore, they require one single Newton–Raphson iteration per time step to converge. This provides both additional robustness and computational acceleration. The introduced extrapolation error is controlled by adaptive time-stepping schemes. This paper introduced and assessed two novel classes of error control schemes that provide further performance improvements. In a three-dimensional compression test for a mesoscale model of concrete, the presented scheme was about 40 times faster than an adaptive backward Euler time integration. The research was supported by the Federal Institute for Materials Research and Testing, Berlin, Germany and by the German Research Foundation (DFG) under project Un224/7-1. Additionally, the research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. 320815 (ERC Advanced Grant Project "Advanced tools for computational design of engineering materials" COMP-DES-MAT). |
| Databáze: | OpenAIRE |
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