Coupled Pore Relative Humidity Model for Concrete Shrinkage and Creep

Brock D. Hedegaard, Timothy J. Clement, Mija H. Hubler

Research output: Contribution to journalArticlepeer-review


A new semi-empirical concrete shrinkage and creep model called the CPRH Model is proposed and calibrated. The new model proposes a coupling between autogenous and drying shrinkage using a volume-average pore relative humidity and treats drying creep as an additional stress-dependent shrinkage, linking together all these phenomena. The proposed expressions are designed to facilitate traditional integral-type analysis, but also uniquely support rate-type calculations that can be leveraged by analysis software. Model calibration uses the Northwestern University (NU) database of creep and shrinkage tests to determine new model parameters. The proposed model uses minimal inputs that are often known or may be assumed by the design engineer. Comparison of the proposed model to historical time-dependent models indicates that the new model provides a superior fit over a wider range of inputs.

Original languageEnglish (US)
Pages (from-to)103-116
Number of pages14
JournalACI Materials Journal
Issue number3
StatePublished - Jan 2023

Bibliographical note

Publisher Copyright:
Copyright © 2023, American Concrete Institute. All rights reserved.


  • creep
  • shrinkage
  • time-dependent behavior


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