Singular Problems in Shell Theory

"Singular Problems in Shell Theory" is a specialized book that addresses the complex challenges and phenomena of deformation in thin shells. It highlights the unique properties that arise in the analysis and numerical computation of shells, such as the propagation of singularities, edge and interior layers, as well as quasi-inextensive deformations. These aspects often lead to numerical locking phenomena and affect the quality of calculations, particularly at small relative thicknesses. The book provides a comprehensive overview of various topics, including general geometric formalisms, the analysis of singularities, and mathematical considerations regarding boundary value problems. It is aimed at doctoral students, postgraduates, and researchers who wish to deepen their knowledge in shell theory, especially in the areas covered in this book. The numerical methods presented utilize adaptive anisotropic meshes to effectively compute the physical peculiarities and enable automatic calculations without prior mathematical descriptions of the singularities.