Abstract

A methodology for constructing three-dimensional shell models for the layer-by-layer study of the stress and strain state of irregular sandwich shells, which are increasingly used in practice, is proposed. An original approach is considered for obtaining approximating displacement functions in the finite elements of the core layer, which does not lead to a discontinuity in the generalized displacements on the interfaces with moment skin layers. The development of such models makes it possible to significantly expand the class of problems to be solved and, with the necessary accuracy and degree of detail, for the first time to study the stress and strain state in the general case of irregular sandwich shells in a wide range of variation in the geometric and physical and mechanical characteristics of the layers. The possibilities of the proposed methodology are illustrated by the example of the study of the stress and strain state of conical sandwich shells with rectangular cutouts.

中文翻译：

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逐层研究不规则圆锥夹层壳应力应变状态的三维壳模型

摘要

提出了一种构建三维壳模型的方法，用于逐层研究实际中越来越多应用的不规则夹层壳的应力和应变状态。考虑采用一种原始方法来获得芯层有限元中的近似位移函数，这不会导致与矩皮层的界面上的广义位移不连续。此类模型的开发使得能够显着扩展要解决的问题类别，并以必要的精度和详细程度，首次研究不规则夹层壳一般情况下的应力和应变状态。各层的几何、物理和机械特性有很大的变化。通过研究具有矩形切口的锥形夹层壳的应力和应变状态的例子说明了所提出的方法的可能性。