Efficient equilibrium-based stress recovery for isogeometric laminated curved structures

摘要: This work focuses on an efficient stress recovery procedure for laminated composite curved structures, which relies Isogeometric Analysis (IGA) and equilibrium. Using a single element through the thickness in combination with calibrated layerwise integration rule or homogenized approach, 3D solid isogeometric modeling grants inexpensive accurate approximation terms of displacements (and their derivatives) in-plane stresses, while through-the-thickness components are poorly approximated. Applying further post-processing step, out-of-plane state is also recovered, even from coarse displacement solution. based direct equilibrium equations strong form, involving high order derivatives field. Such continuity requirement fully granted by IGA shape function properties. The step locally applied, that no additional coupled appear equilibrium, allowing reconstruction without need to iterate resolve out-of-balance momentum equation. Several numerical results show good performance this approach particularly stacks significant radius-to-thickness ratio number plies. In particular, latter case, where technique employing degrees freedom directly proportional plies would be much more computationally demanding, proposed method can regarded as very appealing alternative choice.