Based on Crack the Second Expansion the Variation and Generalized Variation Problem of Fractured Rock Mass under Unloading
Firstly, in the paper based on the constitutive equation and the basic equations of the unloading fractured rock mass on the second expansion phase at the crack, the two types of variables of the energy functional about the variation problem was constructed the σij ,ui.as the independent variables at that stage.In order to identify the undetermined function G, the energy functional variational the independent variables σij.,ui,the variational function was satisfied the principle of minimum potential then can obtain the function G Second, Secondly on this basis, two undetermined Lagrange multipliers were introduced to the new functional in order to absorb the balance equation and stress boundary conditions into the new functional Π*2.As the same, Π*2 variational the independent variables oij, λij, λi then obtained the δΠ*2.To simplify the δΠ*2 using the Green formula and then can be identified the undetermined Lagrange multipliers.Finally, the unloading the fractured rock mass at the crack of secondary expansion phase of the unconstrained variational energy functional can be obtained which is the generalized variational principle.
Crack extension Unloading Fractured rock mass Variation principle
Li Yu Ming Fu Fu Bin Tu
The Civil Engineering And Architecture Of Nanchang University,330031 The Civil Engineering And Architecture Of Nanchang University,330031;Nanchang Institute Of Technolog Institute Of Technology.East China Jiao Tong University,330100
国际会议
上海
英文
1348-1352
2012-10-19（万方平台首次上网日期，不代表论文的发表时间）