Multiscale Methods in Computational Mechanics

by De Borst, Rene; Ramm, Ekkehard

• ISBN13: 9789048198085
• ISBN10: 9048198089
• eBook ISBN(s): 9789048198092
• Format: Hardcover
• Copyright: 2010-11-02
• Publisher: Springer Verlag

Summary

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

Preface	p. ix
List of Authors	p. xi
Computational Fluid Dynamics
Residual-Based Variational Multiscale Theory of LES Turbulence Modeling	p. 3
A Posteriori Error Estimation for Computational Fluid Dynamics. The Variational Multiscale Approach	p. 19
Advances in Variational Multiscale Methods for Turbulent Flows	p. 39
Variational Germano Approach for Multiscale Formulations	p. 53
Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling	p. 75
Large-Eddy Simulation of Multiscale Particle Dynamics at High Volume Concentration in Turbulent Channel Flow	p. 95
Materials with Microstructure
An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity - Energy Reduction, Laminate Orientation and Cyclic Behavior	p. 117
The Micromorphic versus Phase Field Approach to Gradient Plasticity and Damage with Application to Cracking in Metal Single Crystals	p. 135
Homogenization and Multiscaling of Granular Media for Different Microscopic Constraints	p. 155
Effective Hydraulic and Mechanical Properties of Heterogeneous Media with Interfaces	p. 179
An Extended Finite Element Method for the Analysis of Submicron Heat Transfer Phenomena	p. 195
Composites, Laminates, and Structures: Optimization
Multiscale Modeling and Simulation of Composite Materials and structures	p. 215
Multiscale Modelling of the Failure Behavior of Fibre-Reinforced Laminates	p. 233
Improved Multiscale Computational Strategies for Delimitation	p. 261
Damage Propagation in Composites - Multiscale Modeling and Optimization	p. 281
Computational Multiscale Model for NATM Tunnels: Micromechanics-Supported Hybrid Analyses	p. 305
Optimization of Corrugated Paperboard under Local and Global Buckling Constraints	p. 329
Framework for Multi-Level Optimization of Complex Systems	p. 347
Coupled Problems and Porous Media
Multiscale/Multiphysics Model for Concrete	p. 381
Swelling Phenomena in Electro-Chemically Active Hydrated Porous Media	p. 405
Propagating Cracks in Saturated Ionized Porous Media	p. 425
Author Index	p. 443
Subject Index	p. 445
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