TY - JOUR
T1 - Dynamic spherical cavity expansion analysis of concrete using the Bingham liquid constitutive model
AU - Wang, Jie
AU - Wu, Haijun
AU - Feng, Xiaowei
AU - Pi, Aiguo
AU - Li, Jinzhu
AU - Huang, Fenglei
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/10
Y1 - 2018/10
N2 - High pressure exists in concrete targets during hypervelocity penetration. An incompressible concrete material under large deformation can be represented by a liquid constitutive model. The present work modifies the cavity expansion theory by characterizing incompressibility using the Bingham liquid constitutive model, in which the viscosity of an incompressible material is considered according to Cleja-Tigoiu's work. An analytic expression is derived for the relationship between the pressure on a cavity boundary and the velocity of cavity expansion. Then, the effects of material parameters in the modified model are studied, which is the basis of the calculation of the drag force in hypervelocity penetration. The viscosity coefficient (μ0) is the most sensitive parameter for the radial stress on the cavity surface. As μ0 increases, the dimensionless stress on the cavity surface (S) increases and the quadratic relation between S and the velocity of cavity expansion (a˙) becomes weaker. Finally, the penetration depths of long rod hypervelocity penetration into a concrete target are predicted based on the modified model, the results are in good agreement with experimental results.
AB - High pressure exists in concrete targets during hypervelocity penetration. An incompressible concrete material under large deformation can be represented by a liquid constitutive model. The present work modifies the cavity expansion theory by characterizing incompressibility using the Bingham liquid constitutive model, in which the viscosity of an incompressible material is considered according to Cleja-Tigoiu's work. An analytic expression is derived for the relationship between the pressure on a cavity boundary and the velocity of cavity expansion. Then, the effects of material parameters in the modified model are studied, which is the basis of the calculation of the drag force in hypervelocity penetration. The viscosity coefficient (μ0) is the most sensitive parameter for the radial stress on the cavity surface. As μ0 increases, the dimensionless stress on the cavity surface (S) increases and the quadratic relation between S and the velocity of cavity expansion (a˙) becomes weaker. Finally, the penetration depths of long rod hypervelocity penetration into a concrete target are predicted based on the modified model, the results are in good agreement with experimental results.
KW - Bingham liquid constitutive mode
KW - Concrete
KW - Dynamic cavity expansion
KW - Hypervelocity penetration
UR - http://www.scopus.com/inward/record.url?scp=85048814235&partnerID=8YFLogxK
U2 - 10.1016/j.ijimpeng.2018.05.012
DO - 10.1016/j.ijimpeng.2018.05.012
M3 - Article
AN - SCOPUS:85048814235
SN - 0734-743X
VL - 120
SP - 110
EP - 117
JO - International Journal of Impact Engineering
JF - International Journal of Impact Engineering
ER -