The Technological Stresses in a Vaulted Structure Built Up on a Falsework

Abstract

It is considered a process of gradual building a cylindrical vaulted structure on a rigid base. Building is implemented by means of continuous attaching layers of additional material to the being formed vault external surface. The vault internal surface is supported by a rigid circular falsework during the whole building process and after its completing. The material used for building manifests properties of creep and aging (in particular, concrete can be considered). It is stated a linear quasistatic initial-boundary problem of accreted solids mechanics that describes the process of the vault plane deformation under gravity action for the case of small strains. The analytical solution of this non-classical mathematically two-dimensional problem is built in trigonometric series and quadratures. It is proved a proposition about the structure of technological residual stresses taking place in the completed vault if the falsework is removed from it some time after the end of building. This proposition allows to determine efficiently the stresses mentioned.