NONLINEAR THEORIES FOR THIN SHELLS
HARVARD UNIV CAMBRIDGE MA
Pagination or Media Count:
Strain-displacement relations for thin shells valid for large displacements are derived. With these as a starting point approximate straindisplacement relations and equilibrium equations are derived by making certain simplifying assumptions. In particular the middle surface strains are assumed small and the rotations are assumed moderately small. The resulting equations are suitable as a starting point for stability investigations or other problems in which the effects of deformation on equilibrium cannot be ignored, but in which the rotations are not too large. The linearized forms of several of the sets of equations derived coincide with small deflection theories in the literature.