{ "types" : { "Bookmark" : { "pluralLabel" : "Bookmarks" }, "Publication" : { "pluralLabel" : "Publications" }, "GoldStandardPublication" : { "pluralLabel" : "GoldStandardPublications" }, "GoldStandardBookmark" : { "pluralLabel" : "GoldStandardBookmarks" }, "Tag" : { "pluralLabel" : "Tags" }, "User" : { "pluralLabel" : "Users" }, "Group" : { "pluralLabel" : "Groups" }, "Sphere" : { "pluralLabel" : "Spheres" } }, "properties" : { "count" : { "valueType" : "number" }, "date" : { "valueType" : "date" }, "changeDate" : { "valueType" : "date" }, "url" : { "valueType" : "url" }, "id" : { "valueType" : "url" }, "tags" : { "valueType" : "item" }, "user" : { "valueType" : "item" } }, "items" : [ { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/28a0adca701ecec9c8466f065b61025c4/mhahn", "tags" : [ "Airy","Continuum","Discrete","Element","Fracture,","Framework","Lattice","Material","Method,","Spring","function,","isd","myown","stress" ], "intraHash" : "8a0adca701ecec9c8466f065b61025c4", "interHash" : "8d8876703cba4f69fedbe0f9a848cb57", "label" : "Discrete element representation of continua: Proof of concept and determination of the material parameters", "user" : "mhahn", "description" : "", "date" : "2024-11-05 17:39:35", "changeDate" : "2024-11-05 17:39:35", "count" : 2, "pub-type": "article", "journal": "Computational Materials Science", "year": "2010", "url": "https://www.sciencedirect.com/science/article/pii/S0927025610005008", "author": [ "Manfred Hahn","Thomas Wallmersperger","Bernd-H. Kröplin" ], "authors": [ {"first" : "Manfred", "last" : "Hahn"}, {"first" : "Thomas", "last" : "Wallmersperger"}, {"first" : "Bernd-H.", "last" : "Kröplin"} ], "volume": "50","number": "2","pages": "391-402","abstract": "A common approach for the modelling of metal or microfibre reinforced materials is to see these materials as a continuum on the macro scale. A major drawback is that an equation based on the continuum theory is unable to predict the various complicated microscopic effects, even though those effects have a strong influence on the macroscopic behaviour, e.g. on fracture, fatigue and life time. A large number of attempts has been made to correct the shortcomings of the continuum-based theories. One interesting alternative to common approaches for the numerical modelling of discontinuous materials is the Discrete Element Method (DEM). Within the DEM, the individual particles are modelled as stiff (or rigid) bodies which interact via contact forces. This simplification has the advantage of the complicated microscopic behaviour being represented by a simple system of linear equations based on a relatively small number of parameters. This paper describes the requirement for new computational methods for the modelling of fracture mechanics. First of all a proof of the described method will be shown. Then two examples are presented in order to verify the Discrete Element Method. Furthermore it will be shown how the corresponding material parameters are gained and implemented and how the boundary conditions have to be modelled in order to achieve exact results for the stress and strain fields of 2D shells.", "language" : "Englisch", "issn" : "0927-0256", "doi" : "https://doi.org/10.1016/j.commatsci.2010.08.031", "bibtexKey": "HAHN2010391" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/23cf357e5fab8091577fb8277627d764c/mhahn", "tags" : [ "Continuum","Discrete","Element","Fracture","Framework","Lattice","Material","Method","Model","isd","myown" ], "intraHash" : "3cf357e5fab8091577fb8277627d764c", "interHash" : "6df393aa802b448c156cb19600e1eb0c", "label" : "Discrete Element Method for the thermal field: Proof of concept and determination of the material parameters", "user" : "mhahn", "description" : "", "date" : "2024-11-05 17:34:21", "changeDate" : "2024-11-05 17:40:31", "count" : 2, "pub-type": "article", "journal": "Computational Materials Science", "year": "2011", "url": "https://www.sciencedirect.com/science/article/pii/S0927025611002370", "author": [ "Manfred Hahn","Mathias Schwarz","Bernd-H. Kröplin","Thomas Wallmersperger" ], "authors": [ {"first" : "Manfred", "last" : "Hahn"}, {"first" : "Mathias", "last" : "Schwarz"}, {"first" : "Bernd-H.", "last" : "Kröplin"}, {"first" : "Thomas", "last" : "Wallmersperger"} ], "volume": "50","number": "10","pages": "2771-2784","abstract": "The physical behaviour of materials and complicated components is nowadays numerically predicted by using the Finite Element Method (FEM). Another method, older than the finite element idea, is the Discrete Element Method (DEM), with which it is possible to make continuum-based calculations not only in the mechanical field but also in the thermal field, as will be shown in this paper. One major drawback of the FEM is that continuum-based methods are unable to include the stochastically distributed microscopic effects in the macroscopically oriented calculations. The Discrete Element Method is one method with which these effects can be considered. For making realistic fracture and life time predictions for components at high temperatures, it is important to adapt the DEM for the thermal field. This paper describes the mathematical proof of the 2D Discrete Element Method (or Lattice Model) for the thermal field. It will specifically be shown that the heat flux inside the framework can be transferred to the heat conduction equation. Furthermore, some examples demonstrate how the heat flux can be calculated with this method and how the corresponding material parameters are found and implemented. Also, as will be shown in this paper, anisotropic or orthotropic heat flux effects can be integrated in the DEM model.", "language" : "Englisch", "issn" : "0927-0256", "doi" : "https://doi.org/10.1016/j.commatsci.2011.04.028", "bibtexKey": "HAHN20112771" } ] }