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Concrete is a fundamental building material, and understanding its strengths is crucial for construction projects. The relationship between its tensile and compressive strengths is intricate, showing that while these strengths are related, they do not increase at the same rate. Tensile strength's growth is slower and is affected by various factors such as the methods used for testing, the size and shape of the specimen, the texture of the aggregate used, and the moisture content of the...
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(Finite) statistical size effects on compressive strength.

Jérôme Weiss1, Lucas Girard, Florent Gimbert

  • 1Laboratoire de Glaciologie et Géophysique de l'Environnement, Centre National de la Recherche Scientifique (CNRS)/Université J. Fourier, 38402 St. Martin d'Hères Cedex, France.

Proceedings of the National Academy of Sciences of the United States of America
|April 16, 2014
PubMed
Summary
This summary is machine-generated.

Mechanical strength does not vanish in larger structures under compression. A new model explains this size effect by considering elastic interactions, aligning with experimental data for various materials.

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Area of Science:

  • Solid mechanics
  • Materials science
  • Geophysics

Background:

  • Size effects on mechanical strength are critical for engineering and geophysics.
  • Traditional weakest-link models predict vanishing strength at large scales under tensile loading.
  • These models are often misapplied to compressive failure.

Purpose of the Study:

  • Investigate size effects on compressive strength in materials.
  • Develop a new theoretical framework for compressive failure.
  • Provide accurate predictions for engineering and geotechnical applications.

Main Methods:

  • Analyzed historical and recent experimental data on compressive strength.
  • Developed a model based on elastic interactions between defects.
  • Formally related compressive failure to the depinning transition of an elastic manifold.

Main Results:

  • Weakest-link predictions are not observed for compressive failure.
  • Mechanical strength saturates at a non-zero value for larger scales.
  • The new model accurately predicts mean strength and variability, matching experimental data for rocks, ice, coal, and concrete.

Conclusions:

  • Compressive failure exhibits size effects different from tensile failure.
  • A critical transition model, analogous to depinning, explains compressive strength saturation.
  • This formalism has significant implications for structural design and geotechnical engineering safety regulations.