Sub-macroscopic Model of Confined Concrete According to Limit Analysis: Part 1: Principal Concrete Failure Mechanisms

Lise Kjær Andersen*, Lars German Hagsten

*Corresponding author for this work

    Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearchpeer-review


    The presentation of the sub-macroscopic model of confined concrete according to limit analysis is divided into two consecutive papers - Part 1: Principal Concrete Failure Mechanisms and Part 2: Estimation of Strength of Actively Confined Concrete Structures. The proposed model is based on the upper bound theorem of limit analysis, determining the capacity of confined concrete based on proposed failure mechanisms. In contrast to classic limit analysis where concrete is modelled as a homogeneous material, the sub-macroscopic composite structure of the concrete material is taken into account when determining the path of yield line. A concrete yield line is consequently assumed composed by linear parts through hardened cement paste, which are displaced along the interface of strong aggregate particles and unhydrated cement grains. The main objective of the first paper (Part 1) is to determine the geometry of yield lines in the concrete composite structure analytically and numerically, assuming spherical aggregates and applying basic theorems of stereology. Two principal failure mechanisms are studied separately, while in combination they are assumed to constitute the total failure of the concrete composite material. The main geometrical parameters studied are: total length of yield line through cement paste and resulting angle of yield line. One main conclusion is that the particle size distribution of aggregates only insignificantly alters the results. In the second paper (Part 2) the geometry of the yield line is applied to set up work equations to estimate the strength of actively confined concrete.

    Original languageEnglish
    Title of host publicationHigh Tech Concrete : Where Technology and Engineering Meet - Proceedings of the 2017 fib Symposium
    EditorsD.A. Hordijk, M. Lukovic
    Number of pages10
    Publication date2017
    ISBN (Print)978-3-319-59470-5
    ISBN (Electronic)978-3-319-59471-2
    Publication statusPublished - 2017
    EventHigh Tech Concrete: Where Technology and Engineering Meet: 2017 fib Symposium - Maastricht, Netherlands
    Duration: 12 Jun 201714 Jun 2017


    ConferenceHigh Tech Concrete: Where Technology and Engineering Meet


    • Aggregates
    • Cement paste
    • Concrete
    • Confinement
    • Yield line


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