Multiscale Methods in Computational Mechanics

1. Front Matter

   Pages i-xvii

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2. Computational Fluid Dynamics

   1. Front Matter

      Pages 1-1

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   2. Residual-Based Variational Multiscale Theory of LES Turbulence Modeling

      • Y. Bazilevs, V. M. Calo, T. J. R. Hughes, G. Scovazzi

      Pages 3-18

   3. A Posteriori Error Estimation for Computational Fluid Dynamics: The Variational Multiscale Approach

      • Guillermo Hauke, Mohamed H. Doweidar, Daniel Fuster

      Pages 19-38

   4. Advances in Variational Multiscale Methods for Turbulent Flows

      • Peter Gamnitzer, Volker Gravemeier, Wolfgang A. Wall

      Pages 39-52

   5. Variational Germano Approach for Multiscale Formulations

      • Ido Akkerman, Steven J. Hulshoff, Kris G. van der Zee, René de Borst

      Pages 53-73

   6. Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling

      • Ramon Codina, Javier Principe, Santiago Badia

      Pages 75-93

   7. Large-Eddy Simulation of Multiscale Particle Dynamics at High Volume Concentration in Turbulent Channel Flow

      • Bernard J. Geurts

      Pages 95-113

3. Materials with Microstructure

   1. Front Matter

      Pages 115-115

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   2. An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity – Energy Reduction, Laminate Orientation and Cyclic Behavior

      • Klaus Hackl, Dennis M. Kochmann

      Pages 117-134

   3. The Micromorphic versus Phase Field Approach to Gradient Plasticity and Damage with Application to Cracking in Metal Single Crystals

      • Ozgur Aslan, Samuel Forest

      Pages 135-153

   4. Homogenization and Multiscaling of Granular Media for Different Microscopic Constraints

      • C. Miehe, J. Dettmar, D. Zäh

      Pages 155-177

   5. Effective Hydraulic and Mechanical Properties of Heterogeneous Media with Interfaces

      • L. Dormieux, L. Jeannin, J. Sanahuja

      Pages 179-194

   6. An Extended Finite Element Method for the Analysis of Submicron Heat Transfer Phenomena

      • Pilhwa Lee, Ronggui Yang, Kurt Maute

      Pages 195-212

4. Composites, Laminates, and Structures: Optimization

   1. Front Matter

      Pages 213-213

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   2. Multiscale Modeling and Simulation of Composite Materials and Structures

      • Jacob Fish

      Pages 215-231

   3. Multiscale Modelling of the Failure Behaviour of Fibre-Reinforced Laminates

      • M. V. Cid Alfaro, A. S. J. Suiker, R. de Borst

      Pages 233-259

   4. Improved Multiscale Computational Strategies for Delamination

      • O. Allix, P. Gosselet, P. Kerfriden

      Pages 261-279

   5. Damage Propagation in Composites – Multiscale Modeling and Optimization

      • Ekkehard Ramm, Andrea Erhart, Thomas Hettich, Ingrid Bruss, Frédéric Hilchenbach, Junji Kato

      Pages 281-304

   6. Computational Multiscale Model for NATM Tunnels: Micromechanics-Supported Hybrid Analyses

      • Stefan Scheiner, Bernhard Pichler, Christian Hellmich, Herbert A. Mang

      Pages 305-328

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.

• inelastic solid materials
• multiscale mechanics
• optimization
• scale transitions
• turbulent flows

• Dept. Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands

  René Borst

• Inst. Mechanik, Lehrstuhl II, Univ. Stuttgart, Stuttgart, Germany

  Ekkehard Ramm

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