Nonlinear static isogeometric analysis of arbitrarily curved Kirchhoff-Love shells

The geometrically rigorous nonlinear analysis of elastic shells is considered in the context finite, but small, strain theory. research focused on introduction full shell metric and examination its influence structural response. exact relation between reference equidistant strains employed complete analytic constitutive energetically conjugated forces derived. Utilizing these strict relations, geometric stiffness matrix derived explicitly by variation unknown metric. Moreover, a compact form this presented. Despite linear displacement distribution due to Kirchhoff-Love hypothesis, arises along thickness. This fact sometimes disregarded for thin based initial geometry, thereby ignoring strong curviness at some subsequent configuration. We show that each configuration determines appropriate formulation. For become strongly curved configurations during deformation, throughout thickness must be order obtain accurate results. investigate four computational models: one analytical relation, three simplified ones. Robustness, accuracy relative efficiency presented formulation are examined via selected numerical experiments. Our main finding employment often required when response sought, even initially shells. Finally, model provided best balance suggested