The general linear continuity equations for shells for which the Timoshenko shear model is used as the kinematic relations are derived in tensor form. Particular cases of the continuity equations are considered for shells with the lines of principal curvature as coordinates and for cylindrical shells.
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Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 1, pp. 105–109, January–February, 1973.
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Rikards, R.B. Strain continuity equations in Timoshenko-type shell theory. Polymer Mechanics 9, 90–93 (1973). https://doi.org/10.1007/BF00856016
- Continuity Equation
- Cylindrical Shell
- Principal Curvature
- Linear Continuity
- Shell Theory