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

Springer Science and Business Media LLC - 2022
Mohsin Ali Chaudry1, Christian Woitzik2, Alexander Düster2, Peter Wriggers1
1Institute of Continuum Mechanics, Leibniz University Hannover, Appelstr. 11, 30167, Hannover, Germany
2Numerical Structural Analysis with Application in Ship Technology (M-10), Hamburg University of Technology, 21073, Hamburg, Germany

Tóm tắt

AbstractThis 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.

Từ khóa


Tài liệu tham khảo

(2019) U. N. C. on Trade, Development, Review of Maritime Transport 2019 https://www.un-ilibrary.org/content/publication/17932789-en

Kristiansen S (2013) Maritime transportation: safety management and risk analysis. Routledge

Ehlers S, Tabri K, Romanoff J, Varsta P (2012) Numerical and experimental investigation on the collision resistance of the x-core structure. Ships Offshore Struct 7(1):21–29

Karlsson UB (2009) Improved collision safety of ships by an intrusion-tolerant inner side shell. Marine Technol 46(3):165–173

Schöttelndreyer M (2015) Füllstoffe in der Konstruktion: ein Konzept zur Verstärkung von Schiffsseitenhüllen, Technische Universität Hamburg

Woitzik C, Düster A (2017) Modelling the material parameter distribution of expanded granules. Granul Matter 19(3):52

Chaudry MA, Woitzik C, Düster A, Wriggers P (2018) Experimental and numerical characterization of expanded glass granules. Comput Particle Mech 5(3):297–312

Woitzik C, Düster A (2020) Experimental investigation of granules as crash-absorber in ship building. Ships Offshore Struct 1–12

Chaudry MA (2020) A multiscale DEM–FEM coupled approach for modelling of collision of particle-filled structures. Univ., Inst. für Kontinuumsmechanik, Leibniz-Universität-Hannover, Institut für Kontinuumsmechanik

Dhia HB (1998) Multiscale mechanical problems: the arlequin method, Comptes Rendus de l’Academie des Sciences Series IIB Mechanics Physics. Astronomy 12(326):899–904

Dhia HB, Rateau G (2005) The arlequin method as a flexible engineering design tool. Int J Numer Methods Eng 62(11):1442–1462

Wellmann C, Wriggers P (2012) A two-scale model of granular materials. Comput Methods Appl Mech Eng 205:46–58

Thornton C (2000) Numerical simulations of deviatoric shear deformation of granular media. Géotechnique 50(1):43–53

Cui L, O’sullivan C, O’neill S, (2007) An analysis of the triaxial apparatus using a mixed boundary three-dimensional discrete element model. Geotechnique 57(10):831–844

Wellmann C, Lillie C, Wriggers P (2008) Homogenization of granular material modeled by a three-dimensional discrete element method. Comput Geotech 35(3):394–405

D’Addetta G, Ramm E, Diebels S, Ehlers WA Particle center based homogenization strategy for granular assemblies, Engineering Computations

O’Sullivan C, Bray JD, Li S (2003) A new approach for calculating strain for particulate media. Int J Numer Anal Methods Geomech 27(10):859–877

Ehlers W, Ramm E, Diebels S, d’Addetta G (2003) From particle ensembles to cosserat continua: homogenization of contact forces towards stresses and couple stresses. Int J Solids Struct 40(24):6681–6702

Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Methods Fluids 20(8–9):1081–1106

Jamin C, Pion S, Teillaud M (2018) 3D triangulations. In: CGAL user and reference manual, 4.13 Edition, CGAL Editorial Board

Luding S (2004) Micro-macro transition for anisotropic, frictional granular packings. Int J Solids Struct 41(21):5821–5836

Lätzel M, Luding S, Herrmann HJ (2000) Macroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell. Granul Matter 2(3):123–135

Sakai M, Koshizuka S (2009) Large-scale discrete element modeling in pneumatic conveying. Chem Eng Sci 64(3):533–539

Bierwisch C, Kraft T, Riedel H, Moseler M (2009) Three-dimensional discrete element models for the granular statics and dynamics of powders in cavity filling. J Mech Phys Solids 57(1):10–31

Queteschiner D, Lichtenegger T, Schneiderbauer S, Pirker S (2018) Coupling resolved and coarse-grain dem models. Part Sci Technol 36(4):517–522

Feng Y, Han K, Owen D, Loughran J (2009) On upscaling of discrete element models: similarity principles. Eng Comput 26(6):599–609

Roessler T, Katterfeld A (2018) Scaling of the angle of repose test and its influence on the calibration of dem parameters using upscaled particles. Powder Technol 330:58–66

Simo JC, Hughes TJ (2006) Computational inelasticity, Vol. 7, Springer

Simo J, Ortiz M (1985) A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. Comput Methods Appl Mech Eng 49(2):221–245

Mediavilla J, Peerlings R, Geers M (2006) A nonlocal triaxiality-dependent ductile damage model for finite strain plasticity. Comput Methods Appl Mech Eng 195(33–36):4617–4634

Borden MJ, Hughes TJ, Landis CM, Anvari A, Lee IJ (2016) A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Comput Methods Appl Mech Eng 312:130–166

Korelc J, Šolinc U, Wriggers P (2010) An improved eas brick element for finite deformation. Comput Mech 46(4):641–659

Weißenfels C (2012) Contact methods integrating plasticity models with application to soil mechanics, Ph.D. Thesis, Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB)

Wagner GJ, Liu WK (2003) Coupling of atomistic and continuum simulations using a bridging scale decomposition. J Comput Phys 190(1):249–274

Kolymbas D (2007) Geotechnik: Bodenmechanik, Grundbau und Tunnelbau, 2nd edn. Springer

Ringsberg JW (2010) Characteristics of material, ship side structure response and ship survivability in ship collisions 5(1):51–66. https://doi.org/10.1080/17445300903088707

Lade P (2016) Triaxial testing of Soils, Wiley https://books.google.de/books?id=ru77rQEACAAJ

Maranha J, Maranha das Neves E The experimental determination of the angle of dilatancy in soils

Zhang S, Pedersen PT, Villavicencio R (2019) Probability and mechanics of ship collision and grounding. Butterworth-Heinemann

Chaudry MA, Wriggers P (2018) On the computational aspects of comminution in discrete element method. Comput Part Mech 5(2):175–189

Ciantia M, Alvarez Arroyo, de Toledo M, Calvetti F, Gens Solé A (2015) An approach to enhance efficiency of dem modelling of soils with crushable grains. Géotechnique 65(2):91–110

Wang P, Arson C (2016) Discrete element modeling of shielding and size effects during single particle crushing. Comput Geotech 78:227–236

Thông tin
Thông tin xuất bản

Springer Science and Business Media LLC

Thông tin tác giả