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Multiscale Methods in Computational Mechanics

Progress and Accomplishments

  • Book
  • © 2011

Overview

Editors:
  1. René Borst

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

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  2. Ekkehard Ramm

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

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    You can also search for this editor in PubMed   Google Scholar

  • State-of-the-art research; written by internationally leading experts
  • Relatively new field currently seeing many new developments

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 55)

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Table of contents (21 chapters)

  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, RenĂ© 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, FrĂ©dĂ©ric 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
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Keywords

About this book

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.

Editors and Affiliations

  • 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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