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Titlebook: Analysis and Simulation of Multifield Problems; Wolfgang Wendland,Messoud Efendiev Conference proceedings 2003 Springer-Verlag Berlin Heid

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A Turbulent Dispersion Model for Particles or Bubblesticle and bubble transport by turbulence. The model is the “standard” two-fluid model for two-phase flow that is derived using ensemble averaging, and consequently that model describes macroscale motions for two-phase flows. The microscale origin of the turbulent dispersion force will be highlighted
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Discontinuous Galerkin Method for Modeling Flow and Reactive Transport in Porous Mediaport of radionuclides, chemicals, and/or biological species through soil and aquifers. The simulation of such processes with chemical interactions is inherently ill-conditioned due to widely varying scales. Species can be present at trace amounts, equilibrium constants and other parameters can vary
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Modelling and numerical simulation of martensitic transformationnuum mechanical level by partial differential equations. Here the stored energy density is used, which is a rotationally invariant and nonconvex function of the transformation gradient with minima at several wells. The energy dissipation observed in physical experiments is modelled by an additional
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Coupling of Homogenization Techniques with Multigrid Solvers for Unstructured Meshesf strongly heterogeneous, linear elastic materials. The micro-structure is assumed to be resolved sufficiently well. The key contribution is the formulation of new physically motivated approaches for linear-elastic composites with arbitrary micro-structures. This task is achieved by means of a numer
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Upper and lower semicontinuity of a stable set for rate-independent processesmechanics, engineering and arises whenever the systems under consideration excited quasistatically. This approach is based on an energy functional ., ·) and a dissipation functional .. We study the upper and lower semicontinuity of a stable set for (.., .), . ≥ 0, and the uniqueness question.
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Multiscale Modeling in the Mechanics of Materials: Cohesion, Interfacial Interactions, Inclusions anconstraints of general character. These models take into account the superficial effects and internal interactions similar to interatomic forces of coupling. The models of media with a continuous field of defects of various types are considered. Descriptions of the media with defects, cohesion field
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Computational Homogenization of Materials with Microstructures Based on Incremental Variational Formzation principle for the local constitutive material response we define a minimization problem for the incremental boundaryvalue problem of standard dissipative solids. The existence of this principle allows the determination of micro-structure developments in non-stable dissipative materials based
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Aspects of Material Modelling of Pyrolytic Carbonlarly interesting for industrial application due to their high strength and light weight. One of the difficulties in hierarchical modelling of this composite [1] is that the material constants of pyrolytic carbon are unknown. The pyro-C shows four forms with a different polycrystalline structure: is
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