Abstract
In this Letter we consider a new rod equation derived recently by Dai [H.-H. Dai, Acta Mech. 127 (1998) 193] for a compressible hyperelastic material. We explore various sufficient conditions of the initial data which guarantee the blow-up in finite time for periodic case. The focus of this Letter is on two particular classes of initial data,
∫
S
u
0
=
0
or
u
0
is odd.