General helicoidal shells undergoing large, one-dimensional strains or large inextensional deformations
DOI10.1016/0020-7683(84)90072-6zbMATH Open0532.73065OpenAlexW2083606663MaRDI QIDQ789221
Publication date: 1984
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7683(84)90072-6
displacement fieldextensional strainstwisttorqueequilibrium and compatibility equationsEuler parameters from rigid body dynamicsfour constantsgeneral helicoidal shellsgross axial displacementlarge inextensional bendingnet axial forceone field equation is first integral of compatibility equationsother is first integral of moment equilibrium equationsreduce to six coupled scalar equations involving three rotation functionsreduces determination of rotation field to linear problemreduces to quadraturesstress couplesstress function fieldsthree stress functions
Shells (74K25) Plastic materials, materials of stress-rate and internal-variable type (74C99) Membranes (74K15) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)
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