Equilibrium equations for transversely accreted shells
С. А. Лычев · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2013
Abstract A particular case of the theory of growing thin‐walled structures, namely the theory of transversely accreted shells is considered. A correspondence between equilibrium equations in terms of rates for transversally accreted shells and equilibrium equations in terms of displacements for permanent shells is established. The equilibrium equations for accreted shells that obey the kinematics hypothesis of Mindlin type are derived in terms of displacements as well as in terms of rates.