Saint Venant's compatibility equations

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Saint Venant's compatibility equations [‚sän·və′nänz kəm‚pad·ə′bil·əd·ē i‚kwā·shənz]

(mechanics)

Equations for the componentse_ijof the strain tensor that follow from their integrability, namely, (e_ij)_kl+ (e_kl)_ij- (e_ik)_jl- (e_jl)_ik= 0, wherei,j,k, andlcan take on any of the valuesx,y, andz, and subscripts outside the parentheses indicate partial differentiation.

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