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.

中文翻译：

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剪切加旋转变形的力矩弹性薄壳模型

摘要

本文提出了一种基于弯矩弹性的薄壳模型，具有独立的位移和旋转场，用于剪切加旋转变形。假设壳壁很薄，并且通过壳厚度的所有位移和旋转矢量分量都是恒定的，该模型给出了负责自然（膜）内力和力矩的主应力和耦合应力张量分量在整个厚度上的均匀分布. 为支持该模型，证明了基本能量定理并确定了各自的变分原理。弯矩弹性薄壳模型在经典弹性中没有类似物，因其适合剪切加旋转变形以及适用于细观力学和纳米力学问题而著称。