On Cusped (Tapered) Prismatic Shells

Abstract eng:
Well-posedeness of boundary value (BVP) and initial boundary value problems for elastic cusped (tapered) prismatic shells (i.e. for shells with vanishing thickness at the boundary) claims non-classical setting of boundary conditions (BC). The present paper is devoted to a concise up-dated exploratory survey of results within the framework of various models of prismatic shells, in particular, plates of variable thickness (Kirchoff-love model, hierarchical models, multi-layer models, etc.). It also contains the non-published results of the author concerning micropolar and classical (with microtemperatures) elastic cusped prismatic shells.

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