Multiscale Modeling and Uncertainty Quantification of Materials and Structures

Proceedings of the IUTAM Symposium held at Santorini, Greece, September 9-11, 2013.

  • Manolis Papadrakakis
  • George Stefanou

Table of contents

  1. Front Matter
    Pages i-ix
  2. Damage and Fracture

    1. Front Matter
      Pages 1-1
    2. George Stefanou, Manolis Georgioudakis, Manolis Papadrakakis
      Pages 19-32
  3. Homogenization

  4. Inverse Problems–Identification

  5. Multiscale Stochastic Mechanics

    1. Front Matter
      Pages 133-133
    2. Hermann G. Matthies, Adnan Ibrahimbegović
      Pages 135-157
    3. X. Frank Xu, Guansuo Dui, Qingwen Ren
      Pages 159-169
    4. M. Geißendörfer, A. Liebscher, C. Proppe, C. Redenbach, D. Schwarzer
      Pages 171-185
    5. Dimitris G. Giovanis, Vissarion Papadopoulos
      Pages 203-214
    6. George Stavroulakis, Dimitris G. Giovanis, Manolis Papadrakakis, Vissarion Papadopoulos
      Pages 215-231

About these proceedings


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 microscale and nanoscale 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.


Computational Mechanics Damage and fracture Heterogeneous Materials Homogenization Inverse problems–identification Mechanics of Materials Microstructure/Morphology Characterization Multiscale Methods Multiscale Modeling Random Field Modeling of Multiscale Systems Stochastic Fracture and Damage Stochastic Multiscale Modeling Techniques Stochastic dynamics Uncertainty Quantification Wave Propagation multiscale stochastic mechanics

Editors and affiliations

  • Manolis Papadrakakis
    • 1
  • George Stefanou
    • 2
  1. 1.Institute of Structural Analysis & Antiseismic ResearchNational Technical University of AthensAthensGreece
  2. 2.Institute of Structural Analysis & Antiseismic ResearchNational Technical University of AthensAthensGreece

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-06330-0
  • Online ISBN 978-3-319-06331-7
  • About this book
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