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."
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