On Long-Range Characteristic Length Scales of Shell Structures

Shell structures have a rich family of boundary layers including internal layers. Each layer has its own characteristic length scale, which depends on the thickness shell. Some these scales are long, something that is not commonly considered in literature. In this work, three types long-range demonstrated over an extensive set simulations. The observed asymptotic behavior consistent with theoretical predictions. These shown to also appear perforated underlying fact features properties elasticity equations and dependent effective material parameters. simulations performed using high-order finite element method implementation Naghdi-type dimensionally reduced shell model. Additionally, effect perforations first eigenmodes discussed. One possible model for buckling analysis outlined.