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An equivalent model for trapezoidal corrugated cores based on homogenization method

机译：基于均质化方法的梯形波纹芯等效模型

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摘要

In this paper, an analytical equivalent model for the mechanical properties of the trapezoidal corrugated core is presented. A complete set of analytical formulations is derived based on energy approach for elastic modulus in different directions, transverse and in-plane shear modulus, in-plane Poisson's ratio and mass density of the equivalent model. The proposed approach is general and is able to model different corrugation geometry. To validate the precision and accuracy of the derived formulations, the obtained results are compared with the literature and the finite element simulations. A set of tensile and three-point bending tests are also carried out to further evaluate the derived equations. The results indicate that the analytical relations are accurate for a wide range of geometrical parameters. (C) 2015 Elsevier Ltd. All rights reserved.
机译：本文提出了梯形瓦楞芯机械性能的解析等效模型。基于能量方法，得出了不同方向的弹性模量，横向和面内剪切模量，面内泊松比和等效模型的质量密度的完整分析公式。所提出的方法是通用的，并且能够对不同的波纹几何形状建模。为了验证所导出配方的精度和准确性，将获得的结果与文献和有限元模拟进行比较。还进行了一组拉伸和三点弯曲测试，以进一步评估导出的方程。结果表明，解析关系对于各种几何参数都是准确的。 （C）2015 Elsevier Ltd.保留所有权利。

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