Multiscale Methods in Computational Mechanics by de Borst, René; Ramm, Ekkehard;

Long description:

This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics.

A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.

Table of Contents:

Content: Part 1: Computational Fluid Dynamics: Residual-based Variational Multiscale Theory of LES Turbulence Modeling, by Y. Bazilevs, V.M. Calo, T.J.R. Hughes, and G. Scovazzi.- A Posteriori Error Estimation for Computational Fluid Dynamics. The Variational Multiscale Approach, by G. Hauke, M.H. Doweidar, and D. Fuster.- Advances in Variational Multiscale Methods for Turbulent Flows, by P. Gamnitzer, V. Gravemeier, and W.A. Wall.- Variational Germano Approach for Multiscale Formulation, by I. Akkerman, S.J. Hulshoff, K.G. van der Zee, and R. de Borst.- Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling, by R. Codina, J. Principe, and S. Badia.- Large-eddy Simulation of Multiscale Particle Dynamics at High Volume Concentration in Turbulent Channel Flow, by B.J. Geurts.- Part 2: Materials with Microstructure, An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity – Energy Reduction, Laminate Orientation and Cyclic Behavior, by K. Hackl, and D.M. Kochmann.- The Micromorphic vs. Phase Field Approach to Gradient Plasticity and Damage with Application to Cracking in Metal Single Crystals, by O. Aslan, and S. Forest.- Homogenization and Multiscaling of Granular Media for Different Microscopic Constraints, by C. Miehe, J. Dettmar, and D. Zäh.- Effective Hydraulic and Mechanical Properties of Heterogeneous Media with Interfaces, by L. Dormieux, L. Jeannin, and J. Sanahuja.- An Extended Finite Element Method for the Analysis of Submicron Heat Transfer Phenomena, by P. Lee, R. Yang, and K. Maute.- Part 3: Composites, Laminates and Structures.- Optimization: Multiscale Modeling and Simulation of Composite Materials and Structures, by J. Fish.- Multiscale Modelling of the Failure Behavior of Fibre-reinforced Laminates, by M.V. Cid Alfaro, A.S.J. Suiker, and R. de Borst.- Improved Multiscale Computational Strategies for Delamination, by O.Allix, P. Gosselet, and P. Kerfriden.- Damage Propagation in Composites – Multiscale Modeling and Optimization, by E. Ramm, A. Erhart, T. Hettich, I. Bruss, F. Hilchenbach, and J. Kato.- Computational Multiscale Model for NATM Tunnels: Micromechanics-Supported Hybrid Analyses, by S. Scheiner, B. Pichler, C. Hellmich, and H.A. Mang.- Optimization of Corrugated Paperboard under Local and Global Buckling Constraints, by T. Flatscher, T. Daxner, D.H. Pahr, and F.G. Rammerstorfer.- Framework for Multi-Level Optimization of Complex Systems, by A. de Wit, and F. van Keulen.- Part 4: Coupled Problems and Porous Media: A Multiscale/Multiphysics Model for Concrete, by B.A. Schrefler, F. Pesavento, and D. Gawin.- Swelling Phenomena in Electro-Chemically Active Hydrated Porous Media, by W. Ehlers, B. Markert, and A. Acartürk.- Propagating Cracks in Saturated Ionized Porous Media, by F. Kraaijeveld, and J.M. Huyghe.