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首页> 外文会议>SSTA(Shell Structures: Theory and Applications) Conference; 20051012-14; Jurata(PL) >Elastic stiffness and yield strength of periodic closed-cell honeycombs
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Elastic stiffness and yield strength of periodic closed-cell honeycombs

机译：周期性闭孔蜂窝的弹性刚度和屈服强度

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摘要

The multiscale modeling idea applied to formulate an effective model of elastic behaviour of closed-cell honeycombs is presented. Essential macroscopic features of mechanical behaviour are inferred from the deformation response of a representative volume element. The structural mechanics methods are applied to the plate model of a skeleton. An analytical formulation of force-displacement relations for the skeleton elements is found by considering the affinity of nodal displacements in tensile, bending and shear deformations. The stiffness tensor for anisotropic solid may be determined depending on material properties of the solid phase and topological arrangement of cellular structure, using micro-macro transition based on micromechanical approach. Macroscopic yield condition is predicted on the basis of energy yield criterion for anisotropic solid. The study based on the assumption of linear elasticity leads to analytical formulae. The proposed theoretical framework may be extended to nonlinear behaviour, plasticity and failure analysis with the use of numerical approach.
机译：提出了多尺度建模思想，用于建立闭孔蜂窝弹性行为的有效模型。从典型的体积元素的变形响应可以推断出力学行为的基本宏观特征。将结构力学方法应用于骨架的板模型。通过考虑节点位移在拉伸，弯曲和剪切变形中的亲和力，可以找到骨架单元力-位移关系的解析公式。各向异性固体的刚度张量可以根据基于固相的材料性质和蜂窝结构的拓扑排列，使用基于微机械方法的微宏观转变来确定。根据各向异性固体的能量屈服准则预测宏观屈服条件。基于线性弹性假设的研究得出了解析公式。所提出的理论框架可以通过数值方法扩展到非线性行为，可塑性和失效分析。

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