Abstract:First the constitutive equations about the unloading fractured rock mass on the linear elastic stage and the basic equations of elasticity problems were described,then using the basic equations of elasticity problems and the boundary conditions,the variational problem of the unloading fractured rock mass on the linear elastic stage was constructure.Before constructing the variational problem,the appropriate minimum potential energy functional should prior to construct.In the process of constructing the appropriate minimum potential energy functional the new functional in which the two Lagrange multipliers λij、λi were introduced and the variational constraints were absorbedas established.Then let λij、ui、 λij、λi as the independent variables and considering the variational stationary value conditions of the new functional can identify the Lagrange multipliers λij、λi which to be determined.At last,the generalized variational principle of dual variables of the unloading crack rock mass on the linear elastic stage was simply proved.
余丽; 扶名福; 谢志龙. 卸荷裂隙岩体线弹性阶段的广义变分问题[J]. 南昌大学学报(理科版), 2012, 36(02): 184-186.
YU Li1,FU Ming-fu1,2,XIE Zhi-long1. Generalized variational problem about unloading fractured rock mass on linear elastic stage. , 2012, 36(02): 184-186.