502
14 Constitutive Modelling of UHPCC Material Under Impact …
GUO W, FAN W, SHAO X D, SHEN D J, CHEN B S. Constitutive model of ultra-high-performance
fiber-reinforced concrete for low-velocity impact simulations[J]. Composite Structures, 2017,
185: 307–326.
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.
HARTMANN T, PIETZSCH A, GEBBEKEN N. A hydrocode material model for concrete[J].
International Journal Protection Structures, 2010, 1(4): 443–468.
HASSAN M, WILLE K. Comparative experimental investigations on the compressive impact
behavior of fiber-reinforced ultra high-performance concretes using split Hopkinson pressure
bar[J]. Construction and Building Materials, 2018, 191: 398–410.
HOLMQUIST T J, JOHNSON G R, COOK W H. A computational constitutive model for concrete
subjected to large strains, high strain rates, and high pressures. In proceedings of the 14th
International Symposium on Ballistics[C]. 1993: 591–600.
HONG J, FANG Q, CHEN L, KONG X Z. Numerical predictions of concrete slabs under contact
explosion by modified K&C material model[J]. Construction and Building Materials, 2017, 155:
1013–1024.
HUANG X P, KONG X Z, CHEN Z Y, FANG Q. A computational constitutive model for rock in
hydrocode[J]. International Journal of Impact Engineering, 2020, 145: 103687.
KANG S T, LEE Y, PARK Y D, KIM J K. Tensile fracture properties of an ultra high performance
fiber reinforced concrete (UHPFRC) with steel fiber[J]. Composite Structures, 2010, 92(1): 67–
71.
KONG X Z, FANG Q, CHEN L, WU H. A new material model for concrete subjected to intense
dynamic loadings[J]. International Journal of Impact Engineering, 2018 120: 60–78.
KONG X Z, FANG Q, CHEN L, WU H. Nonlocal formulation of the modified K&C model to
resolve mesh-size dependency of concrete structures subjected to intense dynamic loadings[J].
International Journal of Impact Engineering, 2018, 122: 318–332.
KONG X Z, FANG Q, HONG J. A new damage-based nonlocal model for dynamic tensile failure
of concrete material[J]. International Journal of Impact Engineering, 2019, 132: 103336.
KONG X Z, FANG Q, LI Q M, WU H, CRAWFORD J E. Modified K&C model for cratering and
scabbing of concrete slabs under projectile impact[J]. International Journal of Impact Engineering,
2017, 108: 217–228.
KONG X Z, FANG Q, WU H, HONG J. A comparison of strain-rate enhancement approaches
for concrete material subjected to high strain-rate[J]. International Journal Protection Structures,
2017, 8(2): 155–176.
KONG X Z, FANG Q, WU H, PENG Y. Numerical predictions of cratering and scabbing in
concrete slabs subjected to projectile impact using a modified version of HJC material model[J].
International Journal of Impact Engineering, 2016, 95: 61–71.
KONG X Z, FANG Q, ZHANG J H, ZHANG Y D. Numerical prediction of dynamic tensile failure
in concrete by a corrected strain-rate dependent nonlocal material model[J]. International Journal
of Impact Engineering, 2020, 137: 103445.
LEPPÄNEN J. Concrete subjected to projectile and fragment impacts: modelling of crack softening
and strain rate dependency in tension[J]. International Journal of Impact Engineering, 2006,
32(11): 1828–1841.
LI J, WU C Q, HAO H. An experimental and numerical study of reinforced ultra-high performance
concrete slabs under blast loads[J]. Materials & Design, 2015, 82: 64–76.
LI J, WU C Q, HAO H. Residual loading capacity of ultra-high performance concrete columns after
blast loads[J]. International Journal of Impact Engineering, 2015, 6(4): 649–670.
LI Q H, ZHAO X, XU S L, XIANG G. 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.
LIU Y, MA A A, HUANG F L. Numerical simulations of oblique-angle penetration by deformable
projectiles into concrete targets[J]. International Journal of Impact Engineering, 2009, 36(3):
438–446.
14 Constitutive Modelling of UHPCC Material Under Impact …
GUO W, FAN W, SHAO X D, SHEN D J, CHEN B S. Constitutive model of ultra-high-performance
fiber-reinforced concrete for low-velocity impact simulations[J]. Composite Structures, 2017,
185: 307–326.
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.
HARTMANN T, PIETZSCH A, GEBBEKEN N. A hydrocode material model for concrete[J].
International Journal Protection Structures, 2010, 1(4): 443–468.
HASSAN M, WILLE K. Comparative experimental investigations on the compressive impact
behavior of fiber-reinforced ultra high-performance concretes using split Hopkinson pressure
bar[J]. Construction and Building Materials, 2018, 191: 398–410.
HOLMQUIST T J, JOHNSON G R, COOK W H. A computational constitutive model for concrete
subjected to large strains, high strain rates, and high pressures. In proceedings of the 14th
International Symposium on Ballistics[C]. 1993: 591–600.
HONG J, FANG Q, CHEN L, KONG X Z. Numerical predictions of concrete slabs under contact
explosion by modified K&C material model[J]. Construction and Building Materials, 2017, 155:
1013–1024.
HUANG X P, KONG X Z, CHEN Z Y, FANG Q. A computational constitutive model for rock in
hydrocode[J]. International Journal of Impact Engineering, 2020, 145: 103687.
KANG S T, LEE Y, PARK Y D, KIM J K. Tensile fracture properties of an ultra high performance
fiber reinforced concrete (UHPFRC) with steel fiber[J]. Composite Structures, 2010, 92(1): 67–
71.
KONG X Z, FANG Q, CHEN L, WU H. A new material model for concrete subjected to intense
dynamic loadings[J]. International Journal of Impact Engineering, 2018 120: 60–78.
KONG X Z, FANG Q, CHEN L, WU H. Nonlocal formulation of the modified K&C model to
resolve mesh-size dependency of concrete structures subjected to intense dynamic loadings[J].
International Journal of Impact Engineering, 2018, 122: 318–332.
KONG X Z, FANG Q, HONG J. A new damage-based nonlocal model for dynamic tensile failure
of concrete material[J]. International Journal of Impact Engineering, 2019, 132: 103336.
KONG X Z, FANG Q, LI Q M, WU H, CRAWFORD J E. Modified K&C model for cratering and
scabbing of concrete slabs under projectile impact[J]. International Journal of Impact Engineering,
2017, 108: 217–228.
KONG X Z, FANG Q, WU H, HONG J. A comparison of strain-rate enhancement approaches
for concrete material subjected to high strain-rate[J]. International Journal Protection Structures,
2017, 8(2): 155–176.
KONG X Z, FANG Q, WU H, PENG Y. Numerical predictions of cratering and scabbing in
concrete slabs subjected to projectile impact using a modified version of HJC material model[J].
International Journal of Impact Engineering, 2016, 95: 61–71.
KONG X Z, FANG Q, ZHANG J H, ZHANG Y D. Numerical prediction of dynamic tensile failure
in concrete by a corrected strain-rate dependent nonlocal material model[J]. International Journal
of Impact Engineering, 2020, 137: 103445.
LEPPÄNEN J. Concrete subjected to projectile and fragment impacts: modelling of crack softening
and strain rate dependency in tension[J]. International Journal of Impact Engineering, 2006,
32(11): 1828–1841.
LI J, WU C Q, HAO H. An experimental and numerical study of reinforced ultra-high performance
concrete slabs under blast loads[J]. Materials & Design, 2015, 82: 64–76.
LI J, WU C Q, HAO H. Residual loading capacity of ultra-high performance concrete columns after
blast loads[J]. International Journal of Impact Engineering, 2015, 6(4): 649–670.
LI Q H, ZHAO X, XU S L, XIANG G. 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.
LIU Y, MA A A, HUANG F L. Numerical simulations of oblique-angle penetration by deformable
projectiles into concrete targets[J]. International Journal of Impact Engineering, 2009, 36(3):
438–446.