Generalized Variation Problem of the Fractured Rock Mass under the Linear Elastic Unloading Stage

Yu Li; Ming Fu Fu; Zhi Long Xie

doi:10.4028/www.scientific.net/AMM.170-173.390

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 170-173Generalized Variation Problem of the Fractured...

Generalized Variation Problem of the Fractured Rock Mass under the Linear Elastic Unloading Stage

Abstract:

First, the constitutive equation of the linear elastic and the basic equations flexibility of the unloading rock mass were introduced, and then using the equations and the boundary conditions the variation principle was contracture. Prior to construct an appropriate minimum potential energy functional, on this basis, pending the introduction of two Lagrange multipliers, and absorb the variation constraints to establish the new functional. Last will 、、、as an independent variable, considering the variation stationary conditions functional of the new functional can identify the Lagrange multipliers 、 to be determined, so can build the generalized variation principle of dual variables

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Periodical:

Applied Mechanics and Materials (Volumes 170-173)

Pages:

390-394

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.170-173.390

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Online since:

May 2012

Authors:

Yu Li, Ming Fu Fu, Zhi Long Xie

Keywords:

Fracture, Generalized Variation Principle, Lagrange Multipliers, Unloading Rock Mass

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