Fundamentals of linear viscoelasticity

Zdeněk P. Bažant*, Milan Jirásek

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


Despite complexities such as aging due to cement hydration or strong moisture sensitivity, the creep of concrete at service stress levels belongs to the broad realm of linear viscoelasticity, a theory that has been extensively studied beginning with the works of Maxwell, Kelvin, and Boltzmann in the late nineteenth century. Thanks to linearity, we introduce the compliance function as the basic material characteristic for constant sustained stress. Then we use the principle of superposition to characterize the creep at variable stress, calculate the relaxation function for constant imposed strain, and generalize the creep model to multiaxial stress. Finally we introduce an operator notation, which simplifies the mathematical exposition and illuminates the main concepts.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Number of pages20
StatePublished - 2018

Publication series

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

ASJC Scopus subject areas

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

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