On exact two-dimensional kinematics for the branching shells
We construct the two-dimensional (2D) kinematics which is work-conjugate to the exact 2D local equilibrium conditions of the non-linear theory of branching shells. It is shown that the compatible shell displacements consist of the translation vector and rotation tensor fields defined on the regular parts of the shell base surface as well as independently on the singular surface curve modelling the shell branching. Several characteristic types of the junctions are discussed and for each of them the explicit form of the principle of virtual work is suggested.
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