Limit Analysis Theory of the Soil Mass and Its Application by Chuanzhi Huang
Author:Chuanzhi Huang
Language: eng
Format: epub
ISBN: 9789811515729
Publisher: Springer Singapore
(7.102)
where
Only the slip surface is unknown; therefore, it is not necessary to regard the stress field as an independent unknown when the variation is solved. In addition, since is unknown, it is the stress field to be determined with regard to the boundary.
(7.103)
According to the variational principle [6], F shall be proved to be in accordance with Euler’s equation:
(7.104)
and the supplementary condition ( varies on the soil mass surface):
(7.105)
It is still inconvenient for solving by applying Eq. (7.102) directly. Actually, when σ is known, all the stress components are known and according to , it is easy to derive:
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