Computational homogenization of confined granular media

  • The manuscript divides in 7 chapters. Chapter 2 briefly introduces the reader to the elementary measures of classical continuum mechanics and thus allows to familiarize with the employed notation. Furthermore, deeper insight of the proposed first-order computational homogenization strategy is presented. Based on the need for a discrete representative volume element (rve), Chapter 3 focuses on a proper rve generation algorithm. Therein, the algorithm itself is described in detail. Additionally, we introduce the concept of periodicity. This chapter finalizes by granting multiple representative examples. A potential based soft particle contact method, used for the computations on the microscale level, is defined in Chapter 4. Included are a description of the used discrete element method (dem) as well as the applied macroscopically driven Dirichlet boundary conditions. The chapter closes with the proposition of a proper solution algorithm as well as illustrative representative examples. Homogenization of the discrete microscopic quantities is discussed in Chapter 5. Therein, the focus is on the upscaling of the aggregate energy as well as on the derivation of related macroscopic stress measures. Necessary quantities for coupling between a standard finite element method and the proposed discrete microscale are presented in Chapter 6. Therein, we tend to the derivation of the macroscopic tangent, necessary for the inclusion into the standard finite element programs. Chapter 7 focuses on the incorporation of inter-particle friction. We select to derive a variational based formulation of inter-particle friction forces, founded on a proposed reduced incremental potential. This contribution is closed by providing a discussion as well as an outlook.
  • Numerische Homogenisierung granularer Medien

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Verfasserangaben:Holger Meier
URN (Permalink):urn:nbn:de:hbz:386-kluedo-23542
Betreuer:Paul Steinmann
Sprache der Veröffentlichung:Englisch
Jahr der Fertigstellung:2009
Jahr der Veröffentlichung:2009
Veröffentlichende Institution:Technische Universität Kaiserslautern
Titel verleihende Institution:Technische Universität Kaiserslautern
Datum der Annahme der Abschlussarbeit:12.06.2009
Datum der Publikation (Server):22.06.2009
Freies Schlagwort / Tag:Granular; Homogenization; Mechanics; Multiscale; Particle
GND-Schlagwort:Diskrete Simulation; Homogenisieren; Mehrskalenmodell; Teilchen
Fachbereiche / Organisatorische Einheiten:Fachbereich Maschinenbau und Verfahrenstechnik
DDC-Sachgruppen:6 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften und Maschinenbau
Lizenz (Deutsch):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011