We present a theory of flexural wave propagation on elastic shells having nontrivial geometry and develop an analogy to geometric optics. The transport of momentum within the shell itself is anisotropic due to the curvature, and as such complex classical effects such as birefringence are generically found. We determine the equations of reflection and refraction of such waves at boundaries betwe...

This paper presents a study about the buckling behavior of thin stainless-steel lining (SSL) for trenchless repair urban water supply networks under negative pressure. The critical pressure and displacement (p–δ) curves, temperature changing hoop axial strain monitoring section changes with system (p–ε) action different diameters, wall thickness ventilation modes were obtained through five grou...

Thin shallow spherical shell theory is used to derive the general influence function, owing to uniform and/or discrete (actuators) loads, for a thin shallow meniscus-shaped mirror of uniform thickness with a central hole and supported at discrete points. Small elastic deformations are considered. No symmetry on the load distribution constrains the model. Explicit analytical expressions of the s...