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Derivation of the tensile stress-strain curve from bending data

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Abstract

A method for calculating uniquely, the stress—strain curves in tension and compression from bending data, is described. The application of the method to cement-based composites is illustrated and the results compared with tensile curves measured directly.

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Abbreviations

σ :

stress

Δσ :

increase in stress

σ a :

apparent stress on the outer faces of a beam, calculated assuming a linear elastic beam in pure bending

∈ :

strain

Δ∈ :

increase in strain

Y :

Δ∈/Δ∈

F :

force

M :

moment

ΔM :

increase in moment

y :

distance from neutral axis in bending

d :

sample thickness

b :

sample width

c :

d/(ɛt-ɛc)

A :

area under tensile or compressive stress/strain curve

ΔA :

increase in area Subscripts t and c refer to tension and compression respectively.

References

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Authors and Affiliations

  1. Building Research Station, Building Research Establishment, Garston, Watford, UK

    V. Laws

Authors
  1. V. Laws
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Laws, V. Derivation of the tensile stress-strain curve from bending data. J Mater Sci 16, 1299–1304 (1981). https://doi.org/10.1007/BF01033845

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  • DOI: https://doi.org/10.1007/BF01033845

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