2.6 Summary
53
(2) Adding steel fibers has little effect on the dynamic elastic modulus, peak strain
and peak toughness, and slightly improves the dynamic compressive strength of
UHPCC. The micro-straight steel fiber has relatively better effect on improving
the dynamic compressive strength. The ultimate toughness gradually increases
with the volumetric ratio of steel fiber increasing, and the micro-straight steel
fiber is more influential on that.
(3) The DIFs for UHPCC material decrease with the increase of steel fiber content
for both typical steel fibers, and the reducing effect of micro-straight steel fiber
is more obvious. Furthermore, the empirical DIF formulae for UHPCC with
various steel fiber reinforcement are proposed.
(4) A modified visco-elastic damage model is established under dynamic loadings,
which is calibrated and validated for UHPCC material.
References
BISCHOFF P H, PERRY S H. Compressive behavior of concrete at high strain rates[J]. Materials
and Structures, 1991, 24: 425-450.
CHU C H, WANG L L, XU D B. A nonlinear thermo-viscoelastic constitutive equation for thermoset
plastics at high strain rates, in: W.Z. Chien (Ed.), Proceedings of the international conference on
nonlinear mechanics, Shanghai, China[C]. 1985: 92–97.
Comite Euro-International du Beton. Fib Model Code for Concrete Structures 2010[M]. Trowbridge,
Wiltshire, UK: Redwood Books, 2013.
GROTE D L, PARK S W, ZHOU M. Dynamic behavior of concrete at high strain rates and pressures:
I. experimental characterization[J]. International Journal of Impact Engineering, 2001, 25: 869–
886.
HAO H, HAO Y F, LI J, CHEN W S. Review of the current practices in blast-resistant analysis and
design of concrete structures[J]. Advances In Structural Engineering, 2016, 19(8): 1193-1223.
HAO Y, HAO H. Dynamic compressive behaviour of spiral steel fibre reinforced concrete in split
Hopkinson pressure bar tests[J]. Construction and Building Materials, 2013, 48: 521-532.
LAI J Z, SUN W. Dynamic behaviour and visco-elastic damage model of ultra-high performance
cementitious composite[J]. Cement and Concrete Research, 2009, 39: 1044-1051.
LINDHOLM U S. Some experiments with the split Hopkinson pressure bar[J]. Journal of the
Mechanics and Physics of Solids, 1964, 12: 317-335.
LI Q H, ZHAO X, XU S L, GAO X. Influence of steel fiber on dynamic compressive behavior of
hybrid fiber ultra high toughness cementitious composites at different strain rates[J]. Construction
and Building Materials, 2016, 125: 490-500.
LI Q M, MENG H. About the dynamic strength enhancement of concrete-like materials in a split
Hopkinson pressure bar test[J]. International Journal of Solids and Structures, 2003, 40: 343-360.
LU Y B, LI Q M. Appraisal of pulse-shaping technique in split Hopkinson pressure bar tests for
brittle materials[J]. International Journal of Protective Structures, 2010, 1(3): 363-390.
MINDESS S, YOUNG J F, DARWIN D. Concrete[M]. New Jersey: Pearson Education Inc., 2003.
REN G M, WU H, FANG Q, LIU J Z. Effects of steel fiber content and type on dynamic compressive
mechanical properties of UHPCC[J]. Construction and Building Materials, 2018, 164: 29-43.
ROSS C A, JEROME D M, TEDESCO J W, Hughes M L. Moisture and strain rate effects on
concrete strength[J]. ACI Materials Journal, 1996, 93(3): 293-300.
ROSS C A, TEDESCO J W, KUENNEN S T. Effects of strain rate on concrete strength[J]. ACI
Materials Journal, 1995, 92(1): 37-47.
53
(2) Adding steel fibers has little effect on the dynamic elastic modulus, peak strain
and peak toughness, and slightly improves the dynamic compressive strength of
UHPCC. The micro-straight steel fiber has relatively better effect on improving
the dynamic compressive strength. The ultimate toughness gradually increases
with the volumetric ratio of steel fiber increasing, and the micro-straight steel
fiber is more influential on that.
(3) The DIFs for UHPCC material decrease with the increase of steel fiber content
for both typical steel fibers, and the reducing effect of micro-straight steel fiber
is more obvious. Furthermore, the empirical DIF formulae for UHPCC with
various steel fiber reinforcement are proposed.
(4) A modified visco-elastic damage model is established under dynamic loadings,
which is calibrated and validated for UHPCC material.
References
BISCHOFF P H, PERRY S H. Compressive behavior of concrete at high strain rates[J]. Materials
and Structures, 1991, 24: 425-450.
CHU C H, WANG L L, XU D B. A nonlinear thermo-viscoelastic constitutive equation for thermoset
plastics at high strain rates, in: W.Z. Chien (Ed.), Proceedings of the international conference on
nonlinear mechanics, Shanghai, China[C]. 1985: 92–97.
Comite Euro-International du Beton. Fib Model Code for Concrete Structures 2010[M]. Trowbridge,
Wiltshire, UK: Redwood Books, 2013.
GROTE D L, PARK S W, ZHOU M. Dynamic behavior of concrete at high strain rates and pressures:
I. experimental characterization[J]. International Journal of Impact Engineering, 2001, 25: 869–
886.
HAO H, HAO Y F, LI J, CHEN W S. Review of the current practices in blast-resistant analysis and
design of concrete structures[J]. Advances In Structural Engineering, 2016, 19(8): 1193-1223.
HAO Y, HAO H. Dynamic compressive behaviour of spiral steel fibre reinforced concrete in split
Hopkinson pressure bar tests[J]. Construction and Building Materials, 2013, 48: 521-532.
LAI J Z, SUN W. Dynamic behaviour and visco-elastic damage model of ultra-high performance
cementitious composite[J]. Cement and Concrete Research, 2009, 39: 1044-1051.
LINDHOLM U S. Some experiments with the split Hopkinson pressure bar[J]. Journal of the
Mechanics and Physics of Solids, 1964, 12: 317-335.
LI Q H, ZHAO X, XU S L, GAO X. Influence of steel fiber on dynamic compressive behavior of
hybrid fiber ultra high toughness cementitious composites at different strain rates[J]. Construction
and Building Materials, 2016, 125: 490-500.
LI Q M, MENG H. About the dynamic strength enhancement of concrete-like materials in a split
Hopkinson pressure bar test[J]. International Journal of Solids and Structures, 2003, 40: 343-360.
LU Y B, LI Q M. Appraisal of pulse-shaping technique in split Hopkinson pressure bar tests for
brittle materials[J]. International Journal of Protective Structures, 2010, 1(3): 363-390.
MINDESS S, YOUNG J F, DARWIN D. Concrete[M]. New Jersey: Pearson Education Inc., 2003.
REN G M, WU H, FANG Q, LIU J Z. Effects of steel fiber content and type on dynamic compressive
mechanical properties of UHPCC[J]. Construction and Building Materials, 2018, 164: 29-43.
ROSS C A, JEROME D M, TEDESCO J W, Hughes M L. Moisture and strain rate effects on
concrete strength[J]. ACI Materials Journal, 1996, 93(3): 293-300.
ROSS C A, TEDESCO J W, KUENNEN S T. Effects of strain rate on concrete strength[J]. ACI
Materials Journal, 1995, 92(1): 37-47.