By Ting T.C.T.
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The relation ui j = 12 (∇iU j + ∇ jUi ) remains valid because of the following reasons: In an elastic medium, the stressed state is characterized by a displacement field from a unique reference state, in which the elastic energy vanishes. Because there is no plastic deformation Uip , the total displacement is equal to the elastic one. Circumstances appear at first quite different in granular media. Starting from a reference state, a stressed one is produced by the displacement Ui +Uip , with typically Uip Ui .