Experimental data are presented in this paper to study the strain-softening behaviour of sand under planestrain conditions. K 0 consolidated strain path tests were conducted using a new plane-strain apparatus. The stressstrain behaviour of medium dense sand under plane-strain conditions was characterized. The test results show that the occurrence of pre-failure strain softening under planestrain conditions is affected by the void ratio, the strain increment ratio and the initial effective confining stress. This is consistent with previous findings established under axisymmetric conditions. However, a pre-failure strainsoftening behaviour in plane-strain tests conducted under high-confining stresses may consist of three stages, namely, material softening, banding softening, and ultimate state. This observation is different from that in triaxial tests where banding softening does not normally occur.
List of symbols b(r 2 -r 3 )/(r 1 -r 3 ) de 1 axial strain increment de v volumetric strain increment de v /de 1 strain increment ratio e void ratio I 1 first principal stress invariant I 1 = r 1 + r 2 + r 3 I 3 third principal stress invariant I 3 = r 1 r 2 r 3 m constant in Lade's failure criterion in Eq. (5) p 0 mean effective stress p 0 ¼ 1 3 (r 0 1 þ r 0 2 þ r 0 3 Þ p a atmospheric pressure q deviatoric stress q ¼ 1 ffiffi ffi 2 p (r 1 ½ Àr 2 ) 2 þ (r 2 À r 3 ) 2 þ(r 3 À r 1 ) 2 1 2 Du excess pore water pressure b parameter in Eq.axial strain e s deviatoric strain, e s ¼ ffiffi 2 p 3 e 1 À e 2 ð Þ 2 þ e 2 À e 3 ð Þ 2 h þ e 3 À e 1 ð Þ 2 1 2 e v volumetric strain, e v ¼ e 1 þ e 2 þ e 3 / 0 effective friction angle of soil g effective stress ratio, g = q/p 0 g 1 symbol of Lade's failure criterion in Eqs. (4) and (5) g 1max constant in Lade's failure criterion in Eq. (4) M effective stress ratio g at critical state l Lode stress parameter, l ¼ 2r 0 2 À r 0 3 À r 0Lode strain parameter, m ¼ 2de 2 À de 3 À de 1 de 1 À de 3 r 0 1 major principal effective stress r 0 2 intermediate principal effective stress r 0 3