Hm. Farag et P. Leach, MATERIAL MODELING FOR TRANSIENT DYNAMIC ANALYSIS OF REINFORCED-CONCRETE STRUCTURES, International journal for numerical methods in engineering, 39(12), 1996, pp. 2111-2129
Reinforced concrete is a composite structural material which has been
the subject of extensive research since it was first used. When consid
ering the rational properties, the research has mainly centred on the
behaviour of the concrete, that of the reinforcing steel and the inter
action between the steel and the surrounding concrete subject to stati
c loading. The behaviour of reinforced concrete, and, in particular, t
hat of the concrete itself when subject to dynamic loading has been le
ss thoroughly studied. This paper proposes a material model for the co
ncrete which includes the effect of high strain rate upon both the sti
ffness of the material and upon the crushing strength. It proposes exp
ressions for the yield and failure surfaces of the concrete which acco
unt for the effects of high strain rate and then incorporates this mat
erial model into an existing finite element program to compare with a
series of test results. The paper illustrates that this improved mater
ial model can now produce a displacement/time history for reinforced c
oncrete elements which is very close to that observed in tests on elem
ents which are far outside the elastic range.