Multiscale Methods in Computational Mechanics: Progress and Accomplishments

✍ Scribed by Y. Bazilevs, V. M. Calo, T. J. R. Hughes, G. Scovazzi (auth.), René de Borst, Ekkehard Ramm (eds.)

• Publisher: Springer Netherlands
• Year: 2011
• Tongue: English
• Leaves: 448
• Series: Lecture Notes in Applied and Computational Mechanics 55
• Edition: 1
• Category: Library

✦ Synopsis

Many features in the behaviour of structures, materials and flows are caused by phenomena that occur at one to several scales below common levels of observation. Multiscale methods account for this scale dependence: They either derive properties at the level of observation by repeated numerical homogenization of more fundamental physical properties defined several scales below (upscaling), or they devise concurrent schemes where those parts of the domain that are of interest are computed with a higher resolution than parts that are of less interest or where the solution is varying only slowly. This work is a result of a sustained German-Dutch cooperation and written by internationally leading experts in the field and gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies are 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.

✦ Table of Contents

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Residual-Based Variational Multiscale Theory of LES Turbulence Modeling....Pages 3-18
A Posteriori Error Estimation for Computational Fluid Dynamics: The Variational Multiscale Approach....Pages 19-38
Advances in Variational Multiscale Methods for Turbulent Flows....Pages 39-52
Variational Germano Approach for Multiscale Formulations....Pages 53-73
Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling....Pages 75-93
Large-Eddy Simulation of Multiscale Particle Dynamics at High Volume Concentration in Turbulent Channel Flow....Pages 95-113
Front Matter....Pages 115-115
An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity – Energy Reduction, Laminate Orientation and Cyclic Behavior....Pages 117-134
The Micromorphic versus Phase Field Approach to Gradient Plasticity and Damage with Application to Cracking in Metal Single Crystals....Pages 135-153
Homogenization and Multiscaling of Granular Media for Different Microscopic Constraints....Pages 155-177
Effective Hydraulic and Mechanical Properties of Heterogeneous Media with Interfaces....Pages 179-194
An Extended Finite Element Method for the Analysis of Submicron Heat Transfer Phenomena....Pages 195-212
Front Matter....Pages 213-213
Multiscale Modeling and Simulation of Composite Materials and Structures....Pages 215-231
Multiscale Modelling of the Failure Behaviour of Fibre-Reinforced Laminates....Pages 233-259
Improved Multiscale Computational Strategies for Delamination....Pages 261-279
Damage Propagation in Composites – Multiscale Modeling and Optimization....Pages 281-304
Computational Multiscale Model for NATM Tunnels: Micromechanics-Supported Hybrid Analyses....Pages 305-328
Optimization of Corrugated Paperboard under Local and Global Buckling Constraints....Pages 329-346
Framework for Multi-Level Optimization of Complex Systems....Pages 347-377
Front Matter....Pages 379-379
Multiscale/Multiphysics Model for Concrete....Pages 381-404
Swelling Phenomena in Electro-Chemically Active Hydrated Porous Media....Pages 405-424
Front Matter....Pages 379-379
Propagating Cracks in Saturated Ionized Porous Media....Pages 425-442
Back Matter....Pages 443-446

✦ Subjects

Computational Science and Engineering;Appl.Mathematics/Computational Methods of Engineering;Classical Continuum Physics;Computational Intelligence;Continuum Mechanics and Mechanics of Materials