Physical and statistical justifications of models B3 and B4 and comparisons to other models

Zdenek P Bazant*, Milan Jirásek

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In structural engineering, it is necessary to design structures with incomplete knowledge of the creep and shrinkage characteristics of the concrete to be used. Therefore, prediction based on concrete strength and composition is required. After summarizing the criteria for a sound prediction model, we discuss in detail the theoretical justification of model B3, including the thermodynamic restrictions, reasons for using power functions, consequences of microprestress relaxation and of activation energy, problems of characterizing aging by strength gain, consequences of diffusion of pore water for size and shape effects on shrinkage and drying creep and their asymptotics, and separation of cracking effects. Then, we focus on unbiased fitting of the existing worldwide database, which is characterized by limited range and complicated by variable data density. We present a statistical evaluation of models B3 and B4 and their statistical comparisons to other prediction models, and we describe the procedure that was used for calibration of the constitutive parameters by fitting a combined database of several thousand laboratory curves of limited time range and of about seventy histories of excessive multidecade deflections of large-span prestressed bridges. Finally, we briefly mention analytical methods for prediction of creep and shrinkage via homogenization.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Pages499-554
Number of pages56
Volume225
DOIs
StatePublished - Jan 1 2018

Publication series

NameSolid Mechanics and its Applications
Volume225
ISSN (Print)0925-0042

Fingerprint

Creep
Concretes
Structural design
Drying
Activation energy
Aging of materials
Acoustic waves
Thermodynamics
Calibration
Water
Chemical analysis

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Bazant, Z. P., & Jirásek, M. (2018). Physical and statistical justifications of models B3 and B4 and comparisons to other models. In Solid Mechanics and its Applications (Vol. 225, pp. 499-554). (Solid Mechanics and its Applications; Vol. 225). Springer Verlag. https://doi.org/10.1007/978-94-024-1138-6_11
Bazant, Zdenek P ; Jirásek, Milan. / Physical and statistical justifications of models B3 and B4 and comparisons to other models. Solid Mechanics and its Applications. Vol. 225 Springer Verlag, 2018. pp. 499-554 (Solid Mechanics and its Applications).
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Bazant, ZP & Jirásek, M 2018, Physical and statistical justifications of models B3 and B4 and comparisons to other models. in Solid Mechanics and its Applications. vol. 225, Solid Mechanics and its Applications, vol. 225, Springer Verlag, pp. 499-554. https://doi.org/10.1007/978-94-024-1138-6_11

Physical and statistical justifications of models B3 and B4 and comparisons to other models. / Bazant, Zdenek P; Jirásek, Milan.

Solid Mechanics and its Applications. Vol. 225 Springer Verlag, 2018. p. 499-554 (Solid Mechanics and its Applications; Vol. 225).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Bazant ZP, Jirásek M. Physical and statistical justifications of models B3 and B4 and comparisons to other models. In Solid Mechanics and its Applications. Vol. 225. Springer Verlag. 2018. p. 499-554. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-94-024-1138-6_11