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A novel phase‐field...
A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable
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- Abali, Bilen Emek (author)
- Uppsala universitet,Tillämpad mekanik,Institute of Mechanics Technische Universität Berlin Einsteinufer 5 Berlin 10967 Germany
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- Klunker, Andre (author)
- Institute of Mechanics Technische Universität Berlin Einsteinufer 5 Berlin 10967 Germany
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- Barchiesi, Emilio (author)
- International Research Center on Mathematics and Mechanics of Complex Systems Università degli Studi dell'Aquila Via Giovanni Gronchi 18 ‐ Zona industriale di Pile L'Aquila 67100 Italy
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- Placidi, Luca (author)
- Engineering Faculty International Telematic University Uninettuno Corso Vittorio Emanuele II Rome 39 00186 Italy
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(creator_code:org_t)
- 2021-03-05
- 2021
- English.
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In: Zeitschrift für angewandte Mathematik und Mechanik. - : John Wiley & Sons. - 0044-2267 .- 1521-4001. ; 101:9
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Abstract
Subject headings
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- Metamaterials response is generally modeled by generalized continuum based theories. Their inherent substructure leads to a necessity for higher-order theories, and especially in damage mechanics, such a generalization is difficult to acquire. We exploit the action formalism in order to obtain the governing equations in generalized damage mechanics for metamaterials. Additionally, by using auxilliary variables, the variational formulation is endowed with the first rate of damage variable that is missing in standard approaches. The presented action formalism with auxilliary variables leads directly to the weak form. We implement a finite element method based approach by using open-source computing platform called FEniCS and solve this weak in order to obtain the deformation and damage numerically. Metamaterials simulations are demonstrated for simple geometries in mixed mode (I and II) as well as in mode III.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
Keyword
- damage mechanics
- generalized mechanics
- metamaterials
- phase-field
- variational formalism
Publication and Content Type
- ref (subject category)
- art (subject category)
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