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Rate sensitivity of compressive strength of columnar-grained ice

Dependence of the compressive strength of columnar-grained ice on strain rate, time, stress rate and machine stiffness is investigated for a loading condition of constant rate of cross-head displacement

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Abstract

Methods of selecting and preparing specimens and details of test procedures, including those for microstructural examination, are described for the investigation of uniaxial compressive strength of columnar-grained ice. It is shown that specimen strain rates are not constant for constant cross-head-displacement rate and that consequently the results are not representative of the constant strain-rate condition. Analysis shows that constant cross-head-displacement tests are more closely representative of the constant stress-rate condition. The paper also discusses failure strains, failure times, mode of failure and possible dependence of strength results on stiffness of the test system.

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Abbreviations

A, B, C, D, α, β, θ, δ:

constants

σ:

stress, MN·m−2

σ1 :

unit stress=1 MN·m−2

σ f :

upper yield or failure stress, MN·m−2

t :

time, s

t 1 :

unit time=1 s

t f :

yield or failure time, s

\(\dot x\) :

constant cross-head-displacement rate, cm s−1

L :

specimen length, cm

∈:

strain

f :

upper yield or failure strain (measured on sample sides in direction parallel to load axis)

nf :

nominal yield or failure strain=\(\dot \varepsilon _n t_f \)

\(\dot \varepsilon _{af} \) :

average strain rate to yield or failure, S−1 = ∈ f /t f

\(\dot \varepsilon _p \) :

peak strain rate (measured on sample sides), s−1

\(\dot \varepsilon _p \) :

nominal strain rate,\(s^{ - 1} = \dot x/L\)

\(\dot \varepsilon _1 \) :

unit strain rate, 1 s−1

\(\dot \sigma _{af} \) :

average stress rate to yield or failure, MN · m−2 s−1 = σ f /t f

\(\dot \sigma _f \) :

effective stress rate during most of loading, MN·m−2 s−1

E f :

failure modulus, MN · m−2 = σ f / f

E s :

effective system modulus,\(MN \bullet m^{ - 2} = \dot \sigma _f /\dot \varepsilon _n \)

References

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Sinha, N.K. Rate sensitivity of compressive strength of columnar-grained ice. Experimental Mechanics 21, 209–218 (1981). https://doi.org/10.1007/BF02326843

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  • DOI: https://doi.org/10.1007/BF02326843

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