Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

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OriginalspracheEnglisch
Titel des SammelwerksAdvances in Computational Plasticity
Herausgeber (Verlag)Springer Basel AG
Seiten417-434
Seitenumfang18
PublikationsstatusVeröffentlicht - 10 Sept. 2017

Publikationsreihe

NameComputational Methods in Applied Sciences
Band46
ISSN (Print)1871-3033

Abstract

Virtual elements were introduced in the last decade and applied to problems in solid mechanics. The success of this methodology when applied to linear problems asks for an extension to the nonlinear regime. This work is concerned with the numerical simulation of structures made of anisotropic material undergoing large deformations. Especially problems with hyperelastic matrix materials and transversly isotropic behaviour will be investigated. The virtual element formulation is based on a low-order formulations for problems in two dimensions. The elements can be arbitrary polygons. The formulation considered relies on minimization of energy, with a novel construction of the stabilization energy and a mixed approximation for the fibers describing the anisotropic behaviour. The formulation is investigated through a several numerical examples, which demonstrate their efficiency, robustness, convergence properties, and locking-free behaviour.

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Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains. / Wriggers, P.; Hudobivnik, B.; Korelc, J.
Advances in Computational Plasticity. Springer Basel AG, 2017. S. 417-434 (Computational Methods in Applied Sciences; Band 46).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Wriggers, P, Hudobivnik, B & Korelc, J 2017, Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains. in Advances in Computational Plasticity. Computational Methods in Applied Sciences, Bd. 46, Springer Basel AG, S. 417-434. https://doi.org/10.1007/978-3-319-60885-3_20
Wriggers, P., Hudobivnik, B., & Korelc, J. (2017). Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains. In Advances in Computational Plasticity (S. 417-434). (Computational Methods in Applied Sciences; Band 46). Springer Basel AG. https://doi.org/10.1007/978-3-319-60885-3_20
Wriggers P, Hudobivnik B, Korelc J. Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains. in Advances in Computational Plasticity. Springer Basel AG. 2017. S. 417-434. (Computational Methods in Applied Sciences). doi: 10.1007/978-3-319-60885-3_20
Wriggers, P. ; Hudobivnik, B. ; Korelc, J. / Efficient Low Order Virtual Elements for Anisotropic Materials at Finite Strains. Advances in Computational Plasticity. Springer Basel AG, 2017. S. 417-434 (Computational Methods in Applied Sciences).
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