Abstract
The paper proposes a thin shell model based on moment elasticity with independent displacement and rotation fields for shear-plus-rotation deformation. Assuming that the shell walls are thin and that all displacement and rotation vector components through the shell thickness are constant, the model gives a uniform through-thickness distribution of the main stress and couple stress tensor components responsible for natural (membrane) internal forces and moments. In support of the model, basic energy theorems are proved and respective variational principles are identified. The moment-elasticity thin shell model, having no analogue in classical elasticity, is distinguished for its fit to shear-plus-rotation deformation and for its applicability to both mesomechanics and nanomechanics problems.
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Translated from in Fizicheskaya Mezomekhanika, 2020, Vol. 23, No. 4, pp. 13–19.
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Sargsyan, S.H. A Moment-Elasticity Thin Shell Model for Shear-Plus-Rotation Deformation. Phys Mesomech 24, 140–145 (2021). https://doi.org/10.1134/S102995992102003X
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DOI: https://doi.org/10.1134/S102995992102003X