Aoa. Elhalim et al., UTILIZATION OF THE RELATIVE RIGIDITY CONCEPT TO PREDICT THE FAILURE OF PIPE SYSTEMS UNDER EXPLOSIVE LOADS, Canadian journal of civil engineering, 23(1), 1996, pp. 107-116
The interaction between loading plates and supporting structures is ve
ry much dependent upon the relative rigidity of the system. This paper
first illustrates how an indiscriminate application of the relative r
igidity concept can lead to erroneous conclusions in such systems. The
paper then applies the concept to explain reported observed failure m
odes in pipe systems under explosive loads. Numerical studies are pres
ented which simulate the behaviour of square pipe systems under static
and explosive loads using the concept of relative rigidity in conjunc
tion with the finite element method. The results of the analysis confi
rm the hypothesis of the relative rigidity concept. Experimental verif
ication of the theoretical predictions and numerical modelling results
are obtained by simulating the explosive failure patterns in simple f
reezing experiments. The analysis presented in this paper demonstrates
the importance of the concept of relative rigidity for explaining cer
tain kinds of observed failure and fracture phenomena.