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Then eq2 becomes uxi partition of the interface gxi

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Unformatted text preview: oil into m sub-regions. Then, Eq.(2) becomes, u(xi) Partition of the Interface g(xi : xj)σ(xj)∆xj (3) Put σ(xj)∆xj =fj , Eq.(3): g(xi : xj)σ(xj)∆xj u(xi) (3) transformed to Eq.(4): u(xi) g(xi : xj) fj (4) Arrange Eq.(4) from i=1 to m, Eq.(4) is expressed in a matrix form as: {u}=[G]{ f } (5) {u}=[G]{ f } (5) where, {u}={u(x1), u(x2), ….. , u(xm)}T (6-1) { f }={ f1, f2,…… , fm}T (6-2) (6-3) Under rigid foundation condition, displacements {u} at the interface can be expressed by representative displa...
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