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Nonlinear cable computations using high‐order solid elements with hp‐adaptive refinement for anisotropic plasticity
Citation Link: https://doi.org/10.15480/882.9474
Publikationstyp
Journal Article
Date Issued
2023-12
Sprache
English
TORE-DOI
Volume
23
Issue
4
Article Number
e202300123
Citation
Proceedings in Applied Mathematics and Mechanics : PAMM 23 (4): e202300123 (2023)
Publisher DOI
Publisher
Wiley-VCH
Cables are slender structural elements, that are found in many engineering structures and are exposed to large displacements while experiencing small or large
local strains during their installation or in dynamic environments. To address the complexity of their inner structure, an effective material model with anisotropic
properties in the elastic and elastoplastic domain is utilized, allowing for a simplified representation that overcomes numerical challenges associated with a fully resolved model. This article focuses on enhancing the representation of local discontinuities arising from the plastic front using hp-refinement. The described workflow is applied to a perforated plate benchmark example and a cable subjected to torsion. Results indicate that the hp-refinement achieves a fast convergence and on average uses fewer degrees of freedom to achieve similar accuracy as compared to pure ℎ-refinement or pure 𝑝-refinement.
local strains during their installation or in dynamic environments. To address the complexity of their inner structure, an effective material model with anisotropic
properties in the elastic and elastoplastic domain is utilized, allowing for a simplified representation that overcomes numerical challenges associated with a fully resolved model. This article focuses on enhancing the representation of local discontinuities arising from the plastic front using hp-refinement. The described workflow is applied to a perforated plate benchmark example and a cable subjected to torsion. Results indicate that the hp-refinement achieves a fast convergence and on average uses fewer degrees of freedom to achieve similar accuracy as compared to pure ℎ-refinement or pure 𝑝-refinement.
DDC Class
510: Mathematics
Funding Organisations
More Funding Information
The support of the DFG (German Research Foundation) under grant number DU 405/14-2 and DI 430/43-2 (project number 405490285) is gratefully acknowledged.
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Proc Appl Math and Mech - 2023 - Hildebrandt‐Raj - Nonlinear cable computations using high‐order solid elements with.pdf
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