Multiscale Modeling and Uncertainty Quantification of Materials and Structures

This book contains the proceedings of the IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures that was held at Santorini, Greece, September 9 - 11, 2013. It consists of 20 chapters which are divided in five thematic topics: Damage and fracture, homogenization, inverse problems-identification, multiscale stochastic mechanics and stochastic dynamics.

Over the last few years, the intense research activity at micro scale and nano scale reflected the need to account for disparate levels of uncertainty from various sources and across scales. As even over-refined deterministic approaches are not able to account for this issue, an efficient blending of stochastic and multiscale methodologies is required to provide a rational framework for the analysis and design of materials and structures. The purpose of this IUTAM Symposium was to promote achievements in uncertainty quantification combined with multiscale modeling and to encourage research and development in this growing field with the aim of improving the safety and reliability of engineered materials and structures.

Special emphasis was placed on multiscale material modeling and simulation as well as on the multiscale analysis and uncertainty quantification of fracture mechanics of heterogeneous media. The homogenization of two-phase random media was also thoroughly examined in several presentations. Various topics of multiscale stochastic mechanics, such as identification of material models, scale coupling, modeling of random microstructures, analysis of CNT-reinforced composites and stochastic finite elements, have been analyzed and discussed. A large number of papers were finally devoted to innovative methods in stochastic dynamics.

Preface
Part I Damage and Fracture

Fracture Simulations of Concrete Using Discrete Meso-level Model with Random Fluctuations of Material Parameters

Sequentially Linear Analysis of Structures with Stochastic Material Properties

Part II Homogenization

A Coupling Method for the Homogenization of Stochastic Structural Models

Adaptive Strategy for Stochastic Homogenization and Multiscale Stochastic Stress Analysis

Strength Properties of Porous Materials Influenced by Shape and Arrangement of Pores - A DLO Investigation Towards Material Design

Homogenization of Random Heterogeneous Media with Inclusions of Arbitrary Shape

Part III Inverse Problems-Identification

Using Experimentally Determined Resonant Behaviour to Estimate the Design Parameter Variability of Thermoplastic Honeycomb Sandwich Structures

Identification of a Mesoscale Model with Multiscale Experimental Observations

Part IV Multiscale Stochastic Mechanics

Stochastic Multiscale Coupling of Inelastic Processes in Solid Mechanics

A Note on Scale-Coupling Mechanics

Stochastic Characterisation of the In-Plane Tow Centroid in Textile Composites to Quantify the Multi-Scale Variation in Geometry

A Variability Response-Based Adaptive SSFEM

Monte Carlo Simulation vs. Polynomial Chaos in Structural Analysis: A Numerical Performance Study

Effects of POD-Based Components of Turbulent Wind on the Aeroelastic Stability of Long Span Bridges

Part V Stochastic Dynamics

PDEM-Based Response Analysis of Nonlinear Systems with Double Uncertainties

The Probabilistic Solutions of the Cantilever Excited by Lateral and Axial Excitations Being Gaussian White Noise

Dynamic Response Variability of General FE-Systems

Stochastic Models of Defects in Wind Turbine Drivetrain Components

Stochastic FEM to Structural Vibration with Parametric Uncertainty