Kulikov G.M.Large Rigid-Body Motions and Strain-Displacement Relationships of The Layer-Wise Shell Theory // Scientific article. Journal "Transactions of the TSTU", vol. 09 , Tambov. TSTU publisher house , 2003. (pdf-file) Abstract: It is considered the relationships for the Green-Lagrange strain tensor in curvilinear orthogonal coordinates exactly representing arbitrarily large rigid-body motions. This consideration is based on the kinematic Timoshenko hypothesis adopted for every layer of the shell (piece-wise linear approximation). As unknown functions 3(N + 1) displacements of the face surfaces of layers are chosen, where N is a number of layers. The deduced relationships may be used in the finite element method for constructing new and efficient elements for multilayered shells.
