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 problemsidentification, 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.

State-of-the-art material on multiscale modeling and uncertainty quantification Connection to real-world applications through several numerical examples Papers by leading experts in the field Includes supplementary material: sn.pub/extras

Inhalt

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 ProblemsIdentification.- 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.- Statistical Volume Elements for Metal Foams.- 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.