A multiscale DEM–FEM coupled approach for the investigation of granules as crash-absorber in ship building

authored by: Mohsin Ali Chaudry, Christian Woitzik, Alexander Düster, Peter Wriggers
Abstract: This paper covers a numerical analysis of a novel approach to increasing the crashworthiness of double hull ships. As proposed in Schöttelndreyer (Füllstoffe in der Konstruktion: ein Konzept zur Verstärkung vonSchiffsseitenhüllen, Technische Uni-versitt Hamburg, Hamburg, 2015), it involves the usage of granular materials in the cavity of the double hull ship. For the modeling of this problem, the discrete element method (DEM) is used for the granules while the finite element method is used for the ship’s structure. In order to account for the structural damage caused by collision, a gradient-enhanced ductile damage model is implemented. In addition to avoid locking, an enhanced strain-based formulation is used. For large-scale problems such as the one in the current study, modeling of all granules with realistic size can be computationally expensive. A two-scale model based on the work of Wellmann and Wriggers (Comput Methods Appl Mech Eng 205:46–58, 2012) is applied—and the region of significant localization is modeled with the DEM, while a continuum model is used for the other regions. The coupling of both discretization schemes is based on the Arlequin method. Numerical homogenization is used to estimate the material parameters of the continuum region with the granules. This involves the usage of meshless interpolation functions for the projection of particle displacement and stress onto a background mesh. Later, the volume-averaged stress and strain within the representative volume element is used to estimate the material parameters. At the end, the results from the combined numerical model are compared with the results from the experiments given in Woitzik and Düster (Ships Offshore Struct 1–12, 2020). This validates both the accuracy of the numerical model and the proposed idea of increasing the crashworthiness of double hull vessels with the granular materials.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Hamburg University of Technology (TUHH)
Type: Article
Journal: Computational Particle Mechanics
Volume: 9
Pages: 179-197
No. of pages: 19
ISSN: 2196-4378
Publication date: 02.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Civil and Structural Engineering, Numerical Analysis, Modelling and Simulation, Fluid Flow and Transfer Processes, Computational Mathematics
Electronic version(s): https://doi.org/10.1007/s40571-021-00401-5 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{51a5eda13fad473fb0ee3b59dad6dc60,
title = "A multiscale DEM–FEM coupled approach for the investigation of granules as crash-absorber in ship building",
abstract = "This paper covers a numerical analysis of a novel approach to increasing the crashworthiness of double hull ships. As proposed in Sch{\"o}ttelndreyer (F{\"u}llstoffe in der Konstruktion: ein Konzept zur Verst{\"a}rkung vonSchiffsseitenh{\"u}llen, Technische Uni-versitt Hamburg, Hamburg, 2015), it involves the usage of granular materials in the cavity of the double hull ship. For the modeling of this problem, the discrete element method (DEM) is used for the granules while the finite element method is used for the ship{\textquoteright}s structure. In order to account for the structural damage caused by collision, a gradient-enhanced ductile damage model is implemented. In addition to avoid locking, an enhanced strain-based formulation is used. For large-scale problems such as the one in the current study, modeling of all granules with realistic size can be computationally expensive. A two-scale model based on the work of Wellmann and Wriggers (Comput Methods Appl Mech Eng 205:46–58, 2012) is applied—and the region of significant localization is modeled with the DEM, while a continuum model is used for the other regions. The coupling of both discretization schemes is based on the Arlequin method. Numerical homogenization is used to estimate the material parameters of the continuum region with the granules. This involves the usage of meshless interpolation functions for the projection of particle displacement and stress onto a background mesh. Later, the volume-averaged stress and strain within the representative volume element is used to estimate the material parameters. At the end, the results from the combined numerical model are compared with the results from the experiments given in Woitzik and D{\"u}ster (Ships Offshore Struct 1–12, 2020). This validates both the accuracy of the numerical model and the proposed idea of increasing the crashworthiness of double hull vessels with the granular materials.",
keywords = "Crashworthiness of ship, Gradient enhanced ductile damage, Homogenization, Multiscale DEM–FEM coupled model",
author = "Chaudry, {Mohsin Ali} and Christian Woitzik and Alexander D{\"u}ster and Peter Wriggers",
note = "Funding Information: The support of the DFG (Deutsche Forschungsgemeinschaft) under grant number WR 19/55 and DU 405/9 is gratefully acknowledged. ",
year = "2022",
month = feb,
doi = "10.1007/s40571-021-00401-5",
language = "English",
volume = "9",
pages = "179--197",
journal = "Computational Particle Mechanics",
issn = "2196-4378",
publisher = "Springer International Publishing AG",
number = "1",
}